/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h

Bug Summary

File:	include/llvm/ADT/APInt.h
Warning:	line 910, column 15 Assigned value is garbage or undefined

Annotated Source Code

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clang -cc1 -triple x86_64-pc-linux-gnu -analyze -disable-free -disable-llvm-verifier -discard-value-names -main-file-name BasicAliasAnalysis.cpp -analyzer-store=region -analyzer-opt-analyze-nested-blocks -analyzer-eagerly-assume -analyzer-checker=core -analyzer-checker=apiModeling -analyzer-checker=unix -analyzer-checker=deadcode -analyzer-checker=cplusplus -analyzer-checker=security.insecureAPI.UncheckedReturn -analyzer-checker=security.insecureAPI.getpw -analyzer-checker=security.insecureAPI.gets -analyzer-checker=security.insecureAPI.mktemp -analyzer-checker=security.insecureAPI.mkstemp -analyzer-checker=security.insecureAPI.vfork -analyzer-checker=nullability.NullPassedToNonnull -analyzer-checker=nullability.NullReturnedFromNonnull -analyzer-output plist -w -mrelocation-model pic -pic-level 2 -mthread-model posix -fmath-errno -masm-verbose -mconstructor-aliases -munwind-tables -fuse-init-array -target-cpu x86-64 -dwarf-column-info -debugger-tuning=gdb -momit-leaf-frame-pointer -ffunction-sections -fdata-sections -resource-dir /usr/lib/llvm-7/lib/clang/7.0.0 -D _DEBUG -D _GNU_SOURCE -D __STDC_CONSTANT_MACROS -D __STDC_FORMAT_MACROS -D __STDC_LIMIT_MACROS -I /build/llvm-toolchain-snapshot-7~svn337204/build-llvm/lib/Analysis -I /build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis -I /build/llvm-toolchain-snapshot-7~svn337204/build-llvm/include -I /build/llvm-toolchain-snapshot-7~svn337204/include -U NDEBUG -internal-isystem /usr/lib/gcc/x86_64-linux-gnu/7.3.0/../../../../include/c++/7.3.0 -internal-isystem /usr/lib/gcc/x86_64-linux-gnu/7.3.0/../../../../include/x86_64-linux-gnu/c++/7.3.0 -internal-isystem /usr/lib/gcc/x86_64-linux-gnu/7.3.0/../../../../include/x86_64-linux-gnu/c++/7.3.0 -internal-isystem /usr/lib/gcc/x86_64-linux-gnu/7.3.0/../../../../include/c++/7.3.0/backward -internal-isystem /usr/include/clang/7.0.0/include/ -internal-isystem /usr/local/include -internal-isystem /usr/lib/llvm-7/lib/clang/7.0.0/include -internal-externc-isystem /usr/lib/gcc/x86_64-linux-gnu/7.3.0/include -internal-externc-isystem /usr/include/x86_64-linux-gnu -internal-externc-isystem /include -internal-externc-isystem /usr/include -O2 -Wno-unused-parameter -Wwrite-strings -Wno-missing-field-initializers -Wno-long-long -Wno-maybe-uninitialized -Wno-comment -std=c++11 -fdeprecated-macro -fdebug-compilation-dir /build/llvm-toolchain-snapshot-7~svn337204/build-llvm/lib/Analysis -ferror-limit 19 -fmessage-length 0 -fvisibility-inlines-hidden -fobjc-runtime=gcc -fdiagnostics-show-option -vectorize-loops -vectorize-slp -analyzer-output=html -analyzer-config stable-report-filename=true -o /tmp/scan-build-2018-07-17-043059-5239-1 -x c++ /build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp

/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp

→

1//===- BasicAliasAnalysis.cpp - Stateless Alias Analysis Impl -------------===//
2//
3//                     The LLVM Compiler Infrastructure
4//
5// This file is distributed under the University of Illinois Open Source
6// License. See LICENSE.TXT for details.
7//
8//===----------------------------------------------------------------------===//
9//
10// This file defines the primary stateless implementation of the
11// Alias Analysis interface that implements identities (two different
12// globals cannot alias, etc), but does no stateful analysis.
13//
14//===----------------------------------------------------------------------===//

16#include "llvm/Analysis/BasicAliasAnalysis.h"
17#include "llvm/ADT/APInt.h"
18#include "llvm/ADT/SmallPtrSet.h"
19#include "llvm/ADT/SmallVector.h"
20#include "llvm/ADT/Statistic.h"
21#include "llvm/Analysis/AliasAnalysis.h"
22#include "llvm/Analysis/AssumptionCache.h"
23#include "llvm/Analysis/CFG.h"
24#include "llvm/Analysis/CaptureTracking.h"
25#include "llvm/Analysis/InstructionSimplify.h"
26#include "llvm/Analysis/LoopInfo.h"
27#include "llvm/Analysis/MemoryBuiltins.h"
28#include "llvm/Analysis/MemoryLocation.h"
29#include "llvm/Analysis/TargetLibraryInfo.h"
30#include "llvm/Analysis/ValueTracking.h"
31#include "llvm/IR/Argument.h"
32#include "llvm/IR/Attributes.h"
33#include "llvm/IR/CallSite.h"
34#include "llvm/IR/Constant.h"
35#include "llvm/IR/Constants.h"
36#include "llvm/IR/DataLayout.h"
37#include "llvm/IR/DerivedTypes.h"
38#include "llvm/IR/Dominators.h"
39#include "llvm/IR/Function.h"
40#include "llvm/IR/GetElementPtrTypeIterator.h"
41#include "llvm/IR/GlobalAlias.h"
42#include "llvm/IR/GlobalVariable.h"
43#include "llvm/IR/InstrTypes.h"
44#include "llvm/IR/Instruction.h"
45#include "llvm/IR/Instructions.h"
46#include "llvm/IR/IntrinsicInst.h"
47#include "llvm/IR/Intrinsics.h"
48#include "llvm/IR/Metadata.h"
49#include "llvm/IR/Operator.h"
50#include "llvm/IR/Type.h"
51#include "llvm/IR/User.h"
52#include "llvm/IR/Value.h"
53#include "llvm/Pass.h"
54#include "llvm/Support/Casting.h"
55#include "llvm/Support/CommandLine.h"
56#include "llvm/Support/Compiler.h"
57#include "llvm/Support/KnownBits.h"
58#include <cassert>
59#include <cstdint>
60#include <cstdlib>
61#include <utility>

63#define DEBUG_TYPE"basicaa" "basicaa"

65using namespace llvm;

67/// Enable analysis of recursive PHI nodes.
68static cl::opt<bool> EnableRecPhiAnalysis("basicaa-recphi", cl::Hidden,
                                        cl::init(false));
70/// SearchLimitReached / SearchTimes shows how often the limit of
71/// to decompose GEPs is reached. It will affect the precision
72/// of basic alias analysis.
73STATISTIC(SearchLimitReached, "Number of times the limit to "static llvm::Statistic SearchLimitReached = {"basicaa", "SearchLimitReached"
, "Number of times the limit to " "decompose GEPs is reached"
, {0}, {false}}
                            "decompose GEPs is reached")static llvm::Statistic SearchLimitReached = {"basicaa", "SearchLimitReached"
, "Number of times the limit to " "decompose GEPs is reached"
, {0}, {false}};
75STATISTIC(SearchTimes, "Number of times a GEP is decomposed")static llvm::Statistic SearchTimes = {"basicaa", "SearchTimes"
, "Number of times a GEP is decomposed", {0}, {false}};

77/// Cutoff after which to stop analysing a set of phi nodes potentially involved
78/// in a cycle. Because we are analysing 'through' phi nodes, we need to be
79/// careful with value equivalence. We use reachability to make sure a value
80/// cannot be involved in a cycle.
81const unsigned MaxNumPhiBBsValueReachabilityCheck = 20;

83// The max limit of the search depth in DecomposeGEPExpression() and
84// GetUnderlyingObject(), both functions need to use the same search
85// depth otherwise the algorithm in aliasGEP will assert.
86static const unsigned MaxLookupSearchDepth = 6;

88bool BasicAAResult::invalidate(Function &Fn, const PreservedAnalyses &PA,
                             FunctionAnalysisManager::Invalidator &Inv) {
// We don't care if this analysis itself is preserved, it has no state. But
// we need to check that the analyses it depends on have been. Note that we
// may be created without handles to some analyses and in that case don't
// depend on them.
if (Inv.invalidate<AssumptionAnalysis>(Fn, PA) ||
    (DT && Inv.invalidate<DominatorTreeAnalysis>(Fn, PA)) ||
    (LI && Inv.invalidate<LoopAnalysis>(Fn, PA)))
  return true;

// Otherwise this analysis result remains valid.
return false;
101}

103//===----------------------------------------------------------------------===//
104// Useful predicates
105//===----------------------------------------------------------------------===//

107/// Returns true if the pointer is to a function-local object that never
108/// escapes from the function.
109static bool isNonEscapingLocalObject(const Value *V) {
// If this is a local allocation, check to see if it escapes.
if (isa<AllocaInst>(V) || isNoAliasCall(V))
  // Set StoreCaptures to True so that we can assume in our callers that the
  // pointer is not the result of a load instruction. Currently
  // PointerMayBeCaptured doesn't have any special analysis for the
  // StoreCaptures=false case; if it did, our callers could be refined to be
  // more precise.
  return !PointerMayBeCaptured(V, false, /*StoreCaptures=*/true);

// If this is an argument that corresponds to a byval or noalias argument,
// then it has not escaped before entering the function.  Check if it escapes
// inside the function.
if (const Argument *A = dyn_cast<Argument>(V))
  if (A->hasByValAttr() || A->hasNoAliasAttr())
    // Note even if the argument is marked nocapture, we still need to check
    // for copies made inside the function. The nocapture attribute only
    // specifies that there are no copies made that outlive the function.
    return !PointerMayBeCaptured(V, false, /*StoreCaptures=*/true);

return false;
130}

132/// Returns true if the pointer is one which would have been considered an
133/// escape by isNonEscapingLocalObject.
134static bool isEscapeSource(const Value *V) {
if (ImmutableCallSite(V))
  return true;

if (isa<Argument>(V))
  return true;

// The load case works because isNonEscapingLocalObject considers all
// stores to be escapes (it passes true for the StoreCaptures argument
// to PointerMayBeCaptured).
if (isa<LoadInst>(V))
  return true;

return false;
148}

150/// Returns the size of the object specified by V or UnknownSize if unknown.
151static uint64_t getObjectSize(const Value *V, const DataLayout &DL,
                            const TargetLibraryInfo &TLI,
                            bool NullIsValidLoc,
                            bool RoundToAlign = false) {
uint64_t Size;
ObjectSizeOpts Opts;
Opts.RoundToAlign = RoundToAlign;
Opts.NullIsUnknownSize = NullIsValidLoc;
if (getObjectSize(V, Size, DL, &TLI, Opts))
  return Size;
return MemoryLocation::UnknownSize;
162}

164/// Returns true if we can prove that the object specified by V is smaller than
165/// Size.
166static bool isObjectSmallerThan(const Value *V, uint64_t Size,
                              const DataLayout &DL,
                              const TargetLibraryInfo &TLI,
                              bool NullIsValidLoc) {
// Note that the meanings of the "object" are slightly different in the
// following contexts:
//    c1: llvm::getObjectSize()
//    c2: llvm.objectsize() intrinsic
//    c3: isObjectSmallerThan()
// c1 and c2 share the same meaning; however, the meaning of "object" in c3
// refers to the "entire object".
//
//  Consider this example:
//     char *p = (char*)malloc(100)
//     char *q = p+80;
//
//  In the context of c1 and c2, the "object" pointed by q refers to the
// stretch of memory of q[0:19]. So, getObjectSize(q) should return 20.
//
//  However, in the context of c3, the "object" refers to the chunk of memory
// being allocated. So, the "object" has 100 bytes, and q points to the middle
// the "object". In case q is passed to isObjectSmallerThan() as the 1st
// parameter, before the llvm::getObjectSize() is called to get the size of
// entire object, we should:
//    - either rewind the pointer q to the base-address of the object in
//      question (in this case rewind to p), or
//    - just give up. It is up to caller to make sure the pointer is pointing
//      to the base address the object.
//
// We go for 2nd option for simplicity.
if (!isIdentifiedObject(V))
  return false;

// This function needs to use the aligned object size because we allow
// reads a bit past the end given sufficient alignment.
uint64_t ObjectSize = getObjectSize(V, DL, TLI, NullIsValidLoc,
                                    /*RoundToAlign*/ true);

return ObjectSize != MemoryLocation::UnknownSize && ObjectSize < Size;
205}

207/// Returns true if we can prove that the object specified by V has size Size.
208static bool isObjectSize(const Value *V, uint64_t Size, const DataLayout &DL,
                       const TargetLibraryInfo &TLI, bool NullIsValidLoc) {
uint64_t ObjectSize = getObjectSize(V, DL, TLI, NullIsValidLoc);
return ObjectSize != MemoryLocation::UnknownSize && ObjectSize == Size;
212}

214//===----------------------------------------------------------------------===//
215// GetElementPtr Instruction Decomposition and Analysis
216//===----------------------------------------------------------------------===//

218/// Analyzes the specified value as a linear expression: "A*V + B", where A and
219/// B are constant integers.
220///
221/// Returns the scale and offset values as APInts and return V as a Value*, and
222/// return whether we looked through any sign or zero extends.  The incoming
223/// Value is known to have IntegerType, and it may already be sign or zero
224/// extended.
225///
226/// Note that this looks through extends, so the high bits may not be
227/// represented in the result.
228/*static*/ const Value *BasicAAResult::GetLinearExpression(
  const Value *V, APInt &Scale, APInt &Offset, unsigned &ZExtBits,
  unsigned &SExtBits, const DataLayout &DL, unsigned Depth,
  AssumptionCache *AC, DominatorTree *DT, bool &NSW, bool &NUW) {
assert(V->getType()->isIntegerTy() && "Not an integer value")(static_cast <bool> (V->getType()->isIntegerTy() &&
 "Not an integer value") ? void (0) : __assert_fail ("V->getType()->isIntegerTy() && \"Not an integer value\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 232, __extension__ __PRETTY_FUNCTION__));

// Limit our recursion depth.
if (Depth == 6) {
7
←
Taking false branch→
  Scale = 1;
  Offset = 0;
  return V;
}

if (const ConstantInt *Const = dyn_cast<ConstantInt>(V)) {
8
←
Taking false branch→
  // If it's a constant, just convert it to an offset and remove the variable.
  // If we've been called recursively, the Offset bit width will be greater
  // than the constant's (the Offset's always as wide as the outermost call),
  // so we'll zext here and process any extension in the isa<SExtInst> &
  // isa<ZExtInst> cases below.
  Offset += Const->getValue().zextOrSelf(Offset.getBitWidth());
  assert(Scale == 0 && "Constant values don't have a scale")(static_cast <bool> (Scale == 0 && "Constant values don't have a scale"
) ? void (0) : __assert_fail ("Scale == 0 && \"Constant values don't have a scale\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 248, __extension__ __PRETTY_FUNCTION__));
  return V;
}

if (const BinaryOperator *BOp = dyn_cast<BinaryOperator>(V)) {
9
←
Assuming 'BOp' is non-null→
10
←
Taking true branch→
  if (ConstantInt *RHSC = dyn_cast<ConstantInt>(BOp->getOperand(1))) {
11
←
Assuming 'RHSC' is non-null→
12
←
Taking true branch→
    // If we've been called recursively, then Offset and Scale will be wider
    // than the BOp operands. We'll always zext it here as we'll process sign
    // extensions below (see the isa<SExtInst> / isa<ZExtInst> cases).
    APInt RHS = RHSC->getValue().zextOrSelf(Offset.getBitWidth());

    switch (BOp->getOpcode()) {
13
←
Control jumps to 'case Shl:'  at line 292→
    default:
      // We don't understand this instruction, so we can't decompose it any
      // further.
      Scale = 1;
      Offset = 0;
      return V;
    case Instruction::Or:
      // X|C == X+C if all the bits in C are unset in X.  Otherwise we can't
      // analyze it.
      if (!MaskedValueIsZero(BOp->getOperand(0), RHSC->getValue(), DL, 0, AC,
                             BOp, DT)) {
        Scale = 1;
        Offset = 0;
        return V;
      }
      LLVM_FALLTHROUGH[[clang::fallthrough]];
    case Instruction::Add:
      V = GetLinearExpression(BOp->getOperand(0), Scale, Offset, ZExtBits,
                              SExtBits, DL, Depth + 1, AC, DT, NSW, NUW);
      Offset += RHS;
      break;
    case Instruction::Sub:
      V = GetLinearExpression(BOp->getOperand(0), Scale, Offset, ZExtBits,
                              SExtBits, DL, Depth + 1, AC, DT, NSW, NUW);
      Offset -= RHS;
      break;
    case Instruction::Mul:
      V = GetLinearExpression(BOp->getOperand(0), Scale, Offset, ZExtBits,
                              SExtBits, DL, Depth + 1, AC, DT, NSW, NUW);
      Offset *= RHS;
      Scale *= RHS;
      break;
    case Instruction::Shl:
      V = GetLinearExpression(BOp->getOperand(0), Scale, Offset, ZExtBits,
                              SExtBits, DL, Depth + 1, AC, DT, NSW, NUW);

      // We're trying to linearize an expression of the kind:
      //   shl i8 -128, 36
      // where the shift count exceeds the bitwidth of the type.
      // We can't decompose this further (the expression would return
      // a poison value).
      if (Offset.getBitWidth() < RHS.getLimitedValue() ||
14
←
Taking false branch→
          Scale.getBitWidth() < RHS.getLimitedValue()) {
        Scale = 1;
        Offset = 0;
        return V;
      }

      Offset <<= RHS.getLimitedValue();
15
←
Calling 'APInt::getLimitedValue'→
17
←
Returning from 'APInt::getLimitedValue'→
18
←
Passing the value 4294967295 via 1st parameter 'ShiftAmt'→
19
←
Calling 'APInt::operator<<='→
      Scale <<= RHS.getLimitedValue();
      // the semantics of nsw and nuw for left shifts don't match those of
      // multiplications, so we won't propagate them.
      NSW = NUW = false;
      return V;
    }

    if (isa<OverflowingBinaryOperator>(BOp)) {
      NUW &= BOp->hasNoUnsignedWrap();
      NSW &= BOp->hasNoSignedWrap();
    }
    return V;
  }
}

// Since GEP indices are sign extended anyway, we don't care about the high
// bits of a sign or zero extended value - just scales and offsets.  The
// extensions have to be consistent though.
if (isa<SExtInst>(V) || isa<ZExtInst>(V)) {
  Value *CastOp = cast<CastInst>(V)->getOperand(0);
  unsigned NewWidth = V->getType()->getPrimitiveSizeInBits();
  unsigned SmallWidth = CastOp->getType()->getPrimitiveSizeInBits();
  unsigned OldZExtBits = ZExtBits, OldSExtBits = SExtBits;
  const Value *Result =
      GetLinearExpression(CastOp, Scale, Offset, ZExtBits, SExtBits, DL,
                          Depth + 1, AC, DT, NSW, NUW);

  // zext(zext(%x)) == zext(%x), and similarly for sext; we'll handle this
  // by just incrementing the number of bits we've extended by.
  unsigned ExtendedBy = NewWidth - SmallWidth;

  if (isa<SExtInst>(V) && ZExtBits == 0) {
    // sext(sext(%x, a), b) == sext(%x, a + b)

    if (NSW) {
      // We haven't sign-wrapped, so it's valid to decompose sext(%x + c)
      // into sext(%x) + sext(c). We'll sext the Offset ourselves:
      unsigned OldWidth = Offset.getBitWidth();
      Offset = Offset.trunc(SmallWidth).sext(NewWidth).zextOrSelf(OldWidth);
    } else {
      // We may have signed-wrapped, so don't decompose sext(%x + c) into
      // sext(%x) + sext(c)
      Scale = 1;
      Offset = 0;
      Result = CastOp;
      ZExtBits = OldZExtBits;
      SExtBits = OldSExtBits;
    }
    SExtBits += ExtendedBy;
  } else {
    // sext(zext(%x, a), b) = zext(zext(%x, a), b) = zext(%x, a + b)

    if (!NUW) {
      // We may have unsigned-wrapped, so don't decompose zext(%x + c) into
      // zext(%x) + zext(c)
      Scale = 1;
      Offset = 0;
      Result = CastOp;
      ZExtBits = OldZExtBits;
      SExtBits = OldSExtBits;
    }
    ZExtBits += ExtendedBy;
  }

  return Result;
}

Scale = 1;
Offset = 0;
return V;
379}

381/// To ensure a pointer offset fits in an integer of size PointerSize
382/// (in bits) when that size is smaller than 64. This is an issue in
383/// particular for 32b programs with negative indices that rely on two's
384/// complement wrap-arounds for precise alias information.
385static int64_t adjustToPointerSize(int64_t Offset, unsigned PointerSize) {
assert(PointerSize <= 64 && "Invalid PointerSize!")(static_cast <bool> (PointerSize <= 64 && "Invalid PointerSize!"
) ? void (0) : __assert_fail ("PointerSize <= 64 && \"Invalid PointerSize!\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 386, __extension__ __PRETTY_FUNCTION__));
unsigned ShiftBits = 64 - PointerSize;
return (int64_t)((uint64_t)Offset << ShiftBits) >> ShiftBits;
389}

391/// If V is a symbolic pointer expression, decompose it into a base pointer
392/// with a constant offset and a number of scaled symbolic offsets.
393///
394/// The scaled symbolic offsets (represented by pairs of a Value* and a scale
395/// in the VarIndices vector) are Value*'s that are known to be scaled by the
396/// specified amount, but which may have other unrepresented high bits. As
397/// such, the gep cannot necessarily be reconstructed from its decomposed form.
398///
399/// When DataLayout is around, this function is capable of analyzing everything
400/// that GetUnderlyingObject can look through. To be able to do that
401/// GetUnderlyingObject and DecomposeGEPExpression must use the same search
402/// depth (MaxLookupSearchDepth). When DataLayout not is around, it just looks
403/// through pointer casts.
404bool BasicAAResult::DecomposeGEPExpression(const Value *V,
     DecomposedGEP &Decomposed, const DataLayout &DL, AssumptionCache *AC,
     DominatorTree *DT) {
// Limit recursion depth to limit compile time in crazy cases.
unsigned MaxLookup = MaxLookupSearchDepth;
SearchTimes++;

Decomposed.StructOffset = 0;
Decomposed.OtherOffset = 0;
Decomposed.VarIndices.clear();
do {
  // See if this is a bitcast or GEP.
  const Operator *Op = dyn_cast<Operator>(V);
  if (!Op) {
    // The only non-operator case we can handle are GlobalAliases.
    if (const GlobalAlias *GA = dyn_cast<GlobalAlias>(V)) {
      if (!GA->isInterposable()) {
        V = GA->getAliasee();
        continue;
      }
    }
    Decomposed.Base = V;
    return false;
  }

  if (Op->getOpcode() == Instruction::BitCast ||
      Op->getOpcode() == Instruction::AddrSpaceCast) {
    V = Op->getOperand(0);
    continue;
  }

  const GEPOperator *GEPOp = dyn_cast<GEPOperator>(Op);
  if (!GEPOp) {
    if (auto CS = ImmutableCallSite(V)) {
      // CaptureTracking can know about special capturing properties of some
      // intrinsics like launder.invariant.group, that can't be expressed with
      // the attributes, but have properties like returning aliasing pointer.
      // Because some analysis may assume that nocaptured pointer is not
      // returned from some special intrinsic (because function would have to
      // be marked with returns attribute), it is crucial to use this function
      // because it should be in sync with CaptureTracking. Not using it may
      // cause weird miscompilations where 2 aliasing pointers are assumed to
      // noalias.
      if (auto *RP = getArgumentAliasingToReturnedPointer(CS)) {
        V = RP;
        continue;
      }
    }

    // If it's not a GEP, hand it off to SimplifyInstruction to see if it
    // can come up with something. This matches what GetUnderlyingObject does.
    if (const Instruction *I = dyn_cast<Instruction>(V))
      // TODO: Get a DominatorTree and AssumptionCache and use them here
      // (these are both now available in this function, but this should be
      // updated when GetUnderlyingObject is updated). TLI should be
      // provided also.
      if (const Value *Simplified =
              SimplifyInstruction(const_cast<Instruction *>(I), DL)) {
        V = Simplified;
        continue;
      }

    Decomposed.Base = V;
    return false;
  }

  // Don't attempt to analyze GEPs over unsized objects.
  if (!GEPOp->getSourceElementType()->isSized()) {
    Decomposed.Base = V;
    return false;
  }

  unsigned AS = GEPOp->getPointerAddressSpace();
  // Walk the indices of the GEP, accumulating them into BaseOff/VarIndices.
  gep_type_iterator GTI = gep_type_begin(GEPOp);
  unsigned PointerSize = DL.getPointerSizeInBits(AS);
  // Assume all GEP operands are constants until proven otherwise.
  bool GepHasConstantOffset = true;
  for (User::const_op_iterator I = GEPOp->op_begin() + 1, E = GEPOp->op_end();
       I != E; ++I, ++GTI) {
    const Value *Index = *I;
    // Compute the (potentially symbolic) offset in bytes for this index.
    if (StructType *STy = GTI.getStructTypeOrNull()) {
      // For a struct, add the member offset.
      unsigned FieldNo = cast<ConstantInt>(Index)->getZExtValue();
      if (FieldNo == 0)
        continue;

      Decomposed.StructOffset +=
        DL.getStructLayout(STy)->getElementOffset(FieldNo);
      continue;
    }

    // For an array/pointer, add the element offset, explicitly scaled.
    if (const ConstantInt *CIdx = dyn_cast<ConstantInt>(Index)) {
      if (CIdx->isZero())
        continue;
      Decomposed.OtherOffset +=
        DL.getTypeAllocSize(GTI.getIndexedType()) * CIdx->getSExtValue();
      continue;
    }

    GepHasConstantOffset = false;

    uint64_t Scale = DL.getTypeAllocSize(GTI.getIndexedType());
    unsigned ZExtBits = 0, SExtBits = 0;

    // If the integer type is smaller than the pointer size, it is implicitly
    // sign extended to pointer size.
    unsigned Width = Index->getType()->getIntegerBitWidth();
    if (PointerSize > Width)
      SExtBits += PointerSize - Width;

    // Use GetLinearExpression to decompose the index into a C1*V+C2 form.
    APInt IndexScale(Width, 0), IndexOffset(Width, 0);
    bool NSW = true, NUW = true;
    Index = GetLinearExpression(Index, IndexScale, IndexOffset, ZExtBits,
                                SExtBits, DL, 0, AC, DT, NSW, NUW);

    // All GEP math happens in the width of the pointer type,
    // so we can truncate the value to 64-bits as we don't handle
    // currently pointers larger than 64 bits and we would crash
    // later. TODO: Make `Scale` an APInt to avoid this problem.
    if (IndexScale.getBitWidth() > 64)
      IndexScale = IndexScale.sextOrTrunc(64);

    // The GEP index scale ("Scale") scales C1*V+C2, yielding (C1*V+C2)*Scale.
    // This gives us an aggregate computation of (C1*Scale)*V + C2*Scale.
    Decomposed.OtherOffset += IndexOffset.getSExtValue() * Scale;
    Scale *= IndexScale.getSExtValue();

    // If we already had an occurrence of this index variable, merge this
    // scale into it.  For example, we want to handle:
    //   A[x][x] -> x*16 + x*4 -> x*20
    // This also ensures that 'x' only appears in the index list once.
    for (unsigned i = 0, e = Decomposed.VarIndices.size(); i != e; ++i) {
      if (Decomposed.VarIndices[i].V == Index &&
          Decomposed.VarIndices[i].ZExtBits == ZExtBits &&
          Decomposed.VarIndices[i].SExtBits == SExtBits) {
        Scale += Decomposed.VarIndices[i].Scale;
        Decomposed.VarIndices.erase(Decomposed.VarIndices.begin() + i);
        break;
      }
    }

    // Make sure that we have a scale that makes sense for this target's
    // pointer size.
    Scale = adjustToPointerSize(Scale, PointerSize);

    if (Scale) {
      VariableGEPIndex Entry = {Index, ZExtBits, SExtBits,
                                static_cast<int64_t>(Scale)};
      Decomposed.VarIndices.push_back(Entry);
    }
  }

  // Take care of wrap-arounds
  if (GepHasConstantOffset) {
    Decomposed.StructOffset =
        adjustToPointerSize(Decomposed.StructOffset, PointerSize);
    Decomposed.OtherOffset =
        adjustToPointerSize(Decomposed.OtherOffset, PointerSize);
  }

  // Analyze the base pointer next.
  V = GEPOp->getOperand(0);
} while (--MaxLookup);

// If the chain of expressions is too deep, just return early.
Decomposed.Base = V;
SearchLimitReached++;
return true;
576}

578/// Returns whether the given pointer value points to memory that is local to
579/// the function, with global constants being considered local to all
580/// functions.
581bool BasicAAResult::pointsToConstantMemory(const MemoryLocation &Loc,
                                         bool OrLocal) {
assert(Visited.empty() && "Visited must be cleared after use!")(static_cast <bool> (Visited.empty() && "Visited must be cleared after use!"
) ? void (0) : __assert_fail ("Visited.empty() && \"Visited must be cleared after use!\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 583, __extension__ __PRETTY_FUNCTION__));

unsigned MaxLookup = 8;
SmallVector<const Value *, 16> Worklist;
Worklist.push_back(Loc.Ptr);
do {
  const Value *V = GetUnderlyingObject(Worklist.pop_back_val(), DL);
  if (!Visited.insert(V).second) {
    Visited.clear();
    return AAResultBase::pointsToConstantMemory(Loc, OrLocal);
  }

  // An alloca instruction defines local memory.
  if (OrLocal && isa<AllocaInst>(V))
    continue;

  // A global constant counts as local memory for our purposes.
  if (const GlobalVariable *GV = dyn_cast<GlobalVariable>(V)) {
    // Note: this doesn't require GV to be "ODR" because it isn't legal for a
    // global to be marked constant in some modules and non-constant in
    // others.  GV may even be a declaration, not a definition.
    if (!GV->isConstant()) {
      Visited.clear();
      return AAResultBase::pointsToConstantMemory(Loc, OrLocal);
    }
    continue;
  }

  // If both select values point to local memory, then so does the select.
  if (const SelectInst *SI = dyn_cast<SelectInst>(V)) {
    Worklist.push_back(SI->getTrueValue());
    Worklist.push_back(SI->getFalseValue());
    continue;
  }

  // If all values incoming to a phi node point to local memory, then so does
  // the phi.
  if (const PHINode *PN = dyn_cast<PHINode>(V)) {
    // Don't bother inspecting phi nodes with many operands.
    if (PN->getNumIncomingValues() > MaxLookup) {
      Visited.clear();
      return AAResultBase::pointsToConstantMemory(Loc, OrLocal);
    }
    for (Value *IncValue : PN->incoming_values())
      Worklist.push_back(IncValue);
    continue;
  }

  // Otherwise be conservative.
  Visited.clear();
  return AAResultBase::pointsToConstantMemory(Loc, OrLocal);
} while (!Worklist.empty() && --MaxLookup);

Visited.clear();
return Worklist.empty();
638}

640/// Returns the behavior when calling the given call site.
641FunctionModRefBehavior BasicAAResult::getModRefBehavior(ImmutableCallSite CS) {
if (CS.doesNotAccessMemory())
  // Can't do better than this.
  return FMRB_DoesNotAccessMemory;

FunctionModRefBehavior Min = FMRB_UnknownModRefBehavior;

// If the callsite knows it only reads memory, don't return worse
// than that.
if (CS.onlyReadsMemory())
  Min = FMRB_OnlyReadsMemory;
else if (CS.doesNotReadMemory())
  Min = FMRB_DoesNotReadMemory;

if (CS.onlyAccessesArgMemory())
  Min = FunctionModRefBehavior(Min & FMRB_OnlyAccessesArgumentPointees);
else if (CS.onlyAccessesInaccessibleMemory())
  Min = FunctionModRefBehavior(Min & FMRB_OnlyAccessesInaccessibleMem);
else if (CS.onlyAccessesInaccessibleMemOrArgMem())
  Min = FunctionModRefBehavior(Min & FMRB_OnlyAccessesInaccessibleOrArgMem);

// If CS has operand bundles then aliasing attributes from the function it
// calls do not directly apply to the CallSite.  This can be made more
// precise in the future.
if (!CS.hasOperandBundles())
  if (const Function *F = CS.getCalledFunction())
    Min =
        FunctionModRefBehavior(Min & getBestAAResults().getModRefBehavior(F));

return Min;
671}

673/// Returns the behavior when calling the given function. For use when the call
674/// site is not known.
675FunctionModRefBehavior BasicAAResult::getModRefBehavior(const Function *F) {
// If the function declares it doesn't access memory, we can't do better.
if (F->doesNotAccessMemory())
  return FMRB_DoesNotAccessMemory;

FunctionModRefBehavior Min = FMRB_UnknownModRefBehavior;

// If the function declares it only reads memory, go with that.
if (F->onlyReadsMemory())
  Min = FMRB_OnlyReadsMemory;
else if (F->doesNotReadMemory())
  Min = FMRB_DoesNotReadMemory;

if (F->onlyAccessesArgMemory())
  Min = FunctionModRefBehavior(Min & FMRB_OnlyAccessesArgumentPointees);
else if (F->onlyAccessesInaccessibleMemory())
  Min = FunctionModRefBehavior(Min & FMRB_OnlyAccessesInaccessibleMem);
else if (F->onlyAccessesInaccessibleMemOrArgMem())
  Min = FunctionModRefBehavior(Min & FMRB_OnlyAccessesInaccessibleOrArgMem);

return Min;
696}

698/// Returns true if this is a writeonly (i.e Mod only) parameter.
699static bool isWriteOnlyParam(ImmutableCallSite CS, unsigned ArgIdx,
                           const TargetLibraryInfo &TLI) {
if (CS.paramHasAttr(ArgIdx, Attribute::WriteOnly))
  return true;

// We can bound the aliasing properties of memset_pattern16 just as we can
// for memcpy/memset.  This is particularly important because the
// LoopIdiomRecognizer likes to turn loops into calls to memset_pattern16
// whenever possible.
// FIXME Consider handling this in InferFunctionAttr.cpp together with other
// attributes.
LibFunc F;
if (CS.getCalledFunction() && TLI.getLibFunc(*CS.getCalledFunction(), F) &&
    F == LibFunc_memset_pattern16 && TLI.has(F))
  if (ArgIdx == 0)
    return true;

// TODO: memset_pattern4, memset_pattern8
// TODO: _chk variants
// TODO: strcmp, strcpy

return false;
721}

723ModRefInfo BasicAAResult::getArgModRefInfo(ImmutableCallSite CS,
                                         unsigned ArgIdx) {
// Checking for known builtin intrinsics and target library functions.
if (isWriteOnlyParam(CS, ArgIdx, TLI))
  return ModRefInfo::Mod;

if (CS.paramHasAttr(ArgIdx, Attribute::ReadOnly))
  return ModRefInfo::Ref;

if (CS.paramHasAttr(ArgIdx, Attribute::ReadNone))
  return ModRefInfo::NoModRef;

return AAResultBase::getArgModRefInfo(CS, ArgIdx);
736}

738static bool isIntrinsicCall(ImmutableCallSite CS, Intrinsic::ID IID) {
const IntrinsicInst *II = dyn_cast<IntrinsicInst>(CS.getInstruction());
return II && II->getIntrinsicID() == IID;
741}

743#ifndef NDEBUG
744static const Function *getParent(const Value *V) {
if (const Instruction *inst = dyn_cast<Instruction>(V)) {
  if (!inst->getParent())
    return nullptr;
  return inst->getParent()->getParent();
}

if (const Argument *arg = dyn_cast<Argument>(V))
  return arg->getParent();

return nullptr;
755}

757static bool notDifferentParent(const Value *O1, const Value *O2) {

const Function *F1 = getParent(O1);
const Function *F2 = getParent(O2);

return !F1 || !F2 || F1 == F2;
763}
764#endif

766AliasResult BasicAAResult::alias(const MemoryLocation &LocA,
                               const MemoryLocation &LocB) {
assert(notDifferentParent(LocA.Ptr, LocB.Ptr) &&(static_cast <bool> (notDifferentParent(LocA.Ptr, LocB.
Ptr) && "BasicAliasAnalysis doesn't support interprocedural queries."
) ? void (0) : __assert_fail ("notDifferentParent(LocA.Ptr, LocB.Ptr) && \"BasicAliasAnalysis doesn't support interprocedural queries.\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 769, __extension__ __PRETTY_FUNCTION__))
       "BasicAliasAnalysis doesn't support interprocedural queries.")(static_cast <bool> (notDifferentParent(LocA.Ptr, LocB.
Ptr) && "BasicAliasAnalysis doesn't support interprocedural queries."
) ? void (0) : __assert_fail ("notDifferentParent(LocA.Ptr, LocB.Ptr) && \"BasicAliasAnalysis doesn't support interprocedural queries.\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 769, __extension__ __PRETTY_FUNCTION__));

// If we have a directly cached entry for these locations, we have recursed
// through this once, so just return the cached results. Notably, when this
// happens, we don't clear the cache.
auto CacheIt = AliasCache.find(LocPair(LocA, LocB));
if (CacheIt != AliasCache.end())
  return CacheIt->second;

AliasResult Alias = aliasCheck(LocA.Ptr, LocA.Size, LocA.AATags, LocB.Ptr,
                               LocB.Size, LocB.AATags);
// AliasCache rarely has more than 1 or 2 elements, always use
// shrink_and_clear so it quickly returns to the inline capacity of the
// SmallDenseMap if it ever grows larger.
// FIXME: This should really be shrink_to_inline_capacity_and_clear().
AliasCache.shrink_and_clear();
VisitedPhiBBs.clear();
return Alias;
787}

789/// Checks to see if the specified callsite can clobber the specified memory
790/// object.
791///
792/// Since we only look at local properties of this function, we really can't
793/// say much about this query.  We do, however, use simple "address taken"
794/// analysis on local objects.
795ModRefInfo BasicAAResult::getModRefInfo(ImmutableCallSite CS,
                                      const MemoryLocation &Loc) {
assert(notDifferentParent(CS.getInstruction(), Loc.Ptr) &&(static_cast <bool> (notDifferentParent(CS.getInstruction
(), Loc.Ptr) && "AliasAnalysis query involving multiple functions!"
) ? void (0) : __assert_fail ("notDifferentParent(CS.getInstruction(), Loc.Ptr) && \"AliasAnalysis query involving multiple functions!\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 798, __extension__ __PRETTY_FUNCTION__))
       "AliasAnalysis query involving multiple functions!")(static_cast <bool> (notDifferentParent(CS.getInstruction
(), Loc.Ptr) && "AliasAnalysis query involving multiple functions!"
) ? void (0) : __assert_fail ("notDifferentParent(CS.getInstruction(), Loc.Ptr) && \"AliasAnalysis query involving multiple functions!\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 798, __extension__ __PRETTY_FUNCTION__));

const Value *Object = GetUnderlyingObject(Loc.Ptr, DL);

// If this is a tail call and Loc.Ptr points to a stack location, we know that
// the tail call cannot access or modify the local stack.
// We cannot exclude byval arguments here; these belong to the caller of
// the current function not to the current function, and a tail callee
// may reference them.
if (isa<AllocaInst>(Object))
  if (const CallInst *CI = dyn_cast<CallInst>(CS.getInstruction()))
    if (CI->isTailCall())
      return ModRefInfo::NoModRef;

// If the pointer is to a locally allocated object that does not escape,
// then the call can not mod/ref the pointer unless the call takes the pointer
// as an argument, and itself doesn't capture it.
if (!isa<Constant>(Object) && CS.getInstruction() != Object &&
    isNonEscapingLocalObject(Object)) {

  // Optimistically assume that call doesn't touch Object and check this
  // assumption in the following loop.
  ModRefInfo Result = ModRefInfo::NoModRef;
  bool IsMustAlias = true;

  unsigned OperandNo = 0;
  for (auto CI = CS.data_operands_begin(), CE = CS.data_operands_end();
       CI != CE; ++CI, ++OperandNo) {
    // Only look at the no-capture or byval pointer arguments.  If this
    // pointer were passed to arguments that were neither of these, then it
    // couldn't be no-capture.
    if (!(*CI)->getType()->isPointerTy() ||
        (!CS.doesNotCapture(OperandNo) &&
         OperandNo < CS.getNumArgOperands() && !CS.isByValArgument(OperandNo)))
      continue;

    // Call doesn't access memory through this operand, so we don't care
    // if it aliases with Object.
    if (CS.doesNotAccessMemory(OperandNo))
      continue;

    // If this is a no-capture pointer argument, see if we can tell that it
    // is impossible to alias the pointer we're checking.
    AliasResult AR =
        getBestAAResults().alias(MemoryLocation(*CI), MemoryLocation(Object));
    if (AR != MustAlias)
      IsMustAlias = false;
    // Operand doesnt alias 'Object', continue looking for other aliases
    if (AR == NoAlias)
      continue;
    // Operand aliases 'Object', but call doesn't modify it. Strengthen
    // initial assumption and keep looking in case if there are more aliases.
    if (CS.onlyReadsMemory(OperandNo)) {
      Result = setRef(Result);
      continue;
    }
    // Operand aliases 'Object' but call only writes into it.
    if (CS.doesNotReadMemory(OperandNo)) {
      Result = setMod(Result);
      continue;
    }
    // This operand aliases 'Object' and call reads and writes into it.
    // Setting ModRef will not yield an early return below, MustAlias is not
    // used further.
    Result = ModRefInfo::ModRef;
    break;
  }

  // No operand aliases, reset Must bit. Add below if at least one aliases
  // and all aliases found are MustAlias.
  if (isNoModRef(Result))
    IsMustAlias = false;

  // Early return if we improved mod ref information
  if (!isModAndRefSet(Result)) {
    if (isNoModRef(Result))
      return ModRefInfo::NoModRef;
    return IsMustAlias ? setMust(Result) : clearMust(Result);
  }
}

// If the CallSite is to malloc or calloc, we can assume that it doesn't
// modify any IR visible value.  This is only valid because we assume these
// routines do not read values visible in the IR.  TODO: Consider special
// casing realloc and strdup routines which access only their arguments as
// well.  Or alternatively, replace all of this with inaccessiblememonly once
// that's implemented fully.
auto *Inst = CS.getInstruction();
if (isMallocOrCallocLikeFn(Inst, &TLI)) {
  // Be conservative if the accessed pointer may alias the allocation -
  // fallback to the generic handling below.
  if (getBestAAResults().alias(MemoryLocation(Inst), Loc) == NoAlias)
    return ModRefInfo::NoModRef;
}

// The semantics of memcpy intrinsics forbid overlap between their respective
// operands, i.e., source and destination of any given memcpy must no-alias.
// If Loc must-aliases either one of these two locations, then it necessarily
// no-aliases the other.
if (auto *Inst = dyn_cast<AnyMemCpyInst>(CS.getInstruction())) {
  AliasResult SrcAA, DestAA;

  if ((SrcAA = getBestAAResults().alias(MemoryLocation::getForSource(Inst),
                                        Loc)) == MustAlias)
    // Loc is exactly the memcpy source thus disjoint from memcpy dest.
    return ModRefInfo::Ref;
  if ((DestAA = getBestAAResults().alias(MemoryLocation::getForDest(Inst),
                                         Loc)) == MustAlias)
    // The converse case.
    return ModRefInfo::Mod;

  // It's also possible for Loc to alias both src and dest, or neither.
  ModRefInfo rv = ModRefInfo::NoModRef;
  if (SrcAA != NoAlias)
    rv = setRef(rv);
  if (DestAA != NoAlias)
    rv = setMod(rv);
  return rv;
}

// While the assume intrinsic is marked as arbitrarily writing so that
// proper control dependencies will be maintained, it never aliases any
// particular memory location.
if (isIntrinsicCall(CS, Intrinsic::assume))
  return ModRefInfo::NoModRef;

// Like assumes, guard intrinsics are also marked as arbitrarily writing so
// that proper control dependencies are maintained but they never mods any
// particular memory location.
//
// *Unlike* assumes, guard intrinsics are modeled as reading memory since the
// heap state at the point the guard is issued needs to be consistent in case
// the guard invokes the "deopt" continuation.
if (isIntrinsicCall(CS, Intrinsic::experimental_guard))
  return ModRefInfo::Ref;

// Like assumes, invariant.start intrinsics were also marked as arbitrarily
// writing so that proper control dependencies are maintained but they never
// mod any particular memory location visible to the IR.
// *Unlike* assumes (which are now modeled as NoModRef), invariant.start
// intrinsic is now modeled as reading memory. This prevents hoisting the
// invariant.start intrinsic over stores. Consider:
// *ptr = 40;
// *ptr = 50;
// invariant_start(ptr)
// int val = *ptr;
// print(val);
//
// This cannot be transformed to:
//
// *ptr = 40;
// invariant_start(ptr)
// *ptr = 50;
// int val = *ptr;
// print(val);
//
// The transformation will cause the second store to be ignored (based on
// rules of invariant.start)  and print 40, while the first program always
// prints 50.
if (isIntrinsicCall(CS, Intrinsic::invariant_start))
  return ModRefInfo::Ref;

// The AAResultBase base class has some smarts, lets use them.
return AAResultBase::getModRefInfo(CS, Loc);
962}

964ModRefInfo BasicAAResult::getModRefInfo(ImmutableCallSite CS1,
                                      ImmutableCallSite CS2) {
// While the assume intrinsic is marked as arbitrarily writing so that
// proper control dependencies will be maintained, it never aliases any
// particular memory location.
if (isIntrinsicCall(CS1, Intrinsic::assume) ||
    isIntrinsicCall(CS2, Intrinsic::assume))
  return ModRefInfo::NoModRef;

// Like assumes, guard intrinsics are also marked as arbitrarily writing so
// that proper control dependencies are maintained but they never mod any
// particular memory location.
//
// *Unlike* assumes, guard intrinsics are modeled as reading memory since the
// heap state at the point the guard is issued needs to be consistent in case
// the guard invokes the "deopt" continuation.

// NB! This function is *not* commutative, so we specical case two
// possibilities for guard intrinsics.

if (isIntrinsicCall(CS1, Intrinsic::experimental_guard))
  return isModSet(createModRefInfo(getModRefBehavior(CS2)))
             ? ModRefInfo::Ref
             : ModRefInfo::NoModRef;

if (isIntrinsicCall(CS2, Intrinsic::experimental_guard))
  return isModSet(createModRefInfo(getModRefBehavior(CS1)))
             ? ModRefInfo::Mod
             : ModRefInfo::NoModRef;

// The AAResultBase base class has some smarts, lets use them.
return AAResultBase::getModRefInfo(CS1, CS2);
996}

998/// Provide ad-hoc rules to disambiguate accesses through two GEP operators,
999/// both having the exact same pointer operand.
1000static AliasResult aliasSameBasePointerGEPs(const GEPOperator *GEP1,
                                          LocationSize V1Size,
                                          const GEPOperator *GEP2,
                                          LocationSize V2Size,
                                          const DataLayout &DL) {
assert(GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups() ==(static_cast <bool> (GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups
() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups
() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType
() && "Expected GEPs with the same pointer operand") ?
 void (0) : __assert_fail ("GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType() && \"Expected GEPs with the same pointer operand\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1008, __extension__ __PRETTY_FUNCTION__))
           GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups() &&(static_cast <bool> (GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups
() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups
() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType
() && "Expected GEPs with the same pointer operand") ?
 void (0) : __assert_fail ("GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType() && \"Expected GEPs with the same pointer operand\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1008, __extension__ __PRETTY_FUNCTION__))
       GEP1->getPointerOperandType() == GEP2->getPointerOperandType() &&(static_cast <bool> (GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups
() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups
() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType
() && "Expected GEPs with the same pointer operand") ?
 void (0) : __assert_fail ("GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType() && \"Expected GEPs with the same pointer operand\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1008, __extension__ __PRETTY_FUNCTION__))
       "Expected GEPs with the same pointer operand")(static_cast <bool> (GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups
() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups
() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType
() && "Expected GEPs with the same pointer operand") ?
 void (0) : __assert_fail ("GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups() == GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups() && GEP1->getPointerOperandType() == GEP2->getPointerOperandType() && \"Expected GEPs with the same pointer operand\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1008, __extension__ __PRETTY_FUNCTION__));

// Try to determine whether GEP1 and GEP2 index through arrays, into structs,
// such that the struct field accesses provably cannot alias.
// We also need at least two indices (the pointer, and the struct field).
if (GEP1->getNumIndices() != GEP2->getNumIndices() ||
    GEP1->getNumIndices() < 2)
  return MayAlias;

// If we don't know the size of the accesses through both GEPs, we can't
// determine whether the struct fields accessed can't alias.
if (V1Size == MemoryLocation::UnknownSize ||
    V2Size == MemoryLocation::UnknownSize)
  return MayAlias;

ConstantInt *C1 =
    dyn_cast<ConstantInt>(GEP1->getOperand(GEP1->getNumOperands() - 1));
ConstantInt *C2 =
    dyn_cast<ConstantInt>(GEP2->getOperand(GEP2->getNumOperands() - 1));

// If the last (struct) indices are constants and are equal, the other indices
// might be also be dynamically equal, so the GEPs can alias.
if (C1 && C2 && C1->getSExtValue() == C2->getSExtValue())
  return MayAlias;

// Find the last-indexed type of the GEP, i.e., the type you'd get if
// you stripped the last index.
// On the way, look at each indexed type.  If there's something other
// than an array, different indices can lead to different final types.
SmallVector<Value *, 8> IntermediateIndices;

// Insert the first index; we don't need to check the type indexed
// through it as it only drops the pointer indirection.
assert(GEP1->getNumIndices() > 1 && "Not enough GEP indices to examine")(static_cast <bool> (GEP1->getNumIndices() > 1 &&
 "Not enough GEP indices to examine") ? void (0) : __assert_fail
 ("GEP1->getNumIndices() > 1 && \"Not enough GEP indices to examine\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1041, __extension__ __PRETTY_FUNCTION__));
IntermediateIndices.push_back(GEP1->getOperand(1));

// Insert all the remaining indices but the last one.
// Also, check that they all index through arrays.
for (unsigned i = 1, e = GEP1->getNumIndices() - 1; i != e; ++i) {
  if (!isa<ArrayType>(GetElementPtrInst::getIndexedType(
          GEP1->getSourceElementType(), IntermediateIndices)))
    return MayAlias;
  IntermediateIndices.push_back(GEP1->getOperand(i + 1));
}

auto *Ty = GetElementPtrInst::getIndexedType(
  GEP1->getSourceElementType(), IntermediateIndices);
StructType *LastIndexedStruct = dyn_cast<StructType>(Ty);

if (isa<SequentialType>(Ty)) {
  // We know that:
  // - both GEPs begin indexing from the exact same pointer;
  // - the last indices in both GEPs are constants, indexing into a sequential
  //   type (array or pointer);
  // - both GEPs only index through arrays prior to that.
  //
  // Because array indices greater than the number of elements are valid in
  // GEPs, unless we know the intermediate indices are identical between
  // GEP1 and GEP2 we cannot guarantee that the last indexed arrays don't
  // partially overlap. We also need to check that the loaded size matches
  // the element size, otherwise we could still have overlap.
  const uint64_t ElementSize =
      DL.getTypeStoreSize(cast<SequentialType>(Ty)->getElementType());
  if (V1Size != ElementSize || V2Size != ElementSize)
    return MayAlias;

  for (unsigned i = 0, e = GEP1->getNumIndices() - 1; i != e; ++i)
    if (GEP1->getOperand(i + 1) != GEP2->getOperand(i + 1))
      return MayAlias;

  // Now we know that the array/pointer that GEP1 indexes into and that
  // that GEP2 indexes into must either precisely overlap or be disjoint.
  // Because they cannot partially overlap and because fields in an array
  // cannot overlap, if we can prove the final indices are different between
  // GEP1 and GEP2, we can conclude GEP1 and GEP2 don't alias.

  // If the last indices are constants, we've already checked they don't
  // equal each other so we can exit early.
  if (C1 && C2)
    return NoAlias;
  {
    Value *GEP1LastIdx = GEP1->getOperand(GEP1->getNumOperands() - 1);
    Value *GEP2LastIdx = GEP2->getOperand(GEP2->getNumOperands() - 1);
    if (isa<PHINode>(GEP1LastIdx) || isa<PHINode>(GEP2LastIdx)) {
      // If one of the indices is a PHI node, be safe and only use
      // computeKnownBits so we don't make any assumptions about the
      // relationships between the two indices. This is important if we're
      // asking about values from different loop iterations. See PR32314.
      // TODO: We may be able to change the check so we only do this when
      // we definitely looked through a PHINode.
      if (GEP1LastIdx != GEP2LastIdx &&
          GEP1LastIdx->getType() == GEP2LastIdx->getType()) {
        KnownBits Known1 = computeKnownBits(GEP1LastIdx, DL);
        KnownBits Known2 = computeKnownBits(GEP2LastIdx, DL);
        if (Known1.Zero.intersects(Known2.One) ||
            Known1.One.intersects(Known2.Zero))
          return NoAlias;
      }
    } else if (isKnownNonEqual(GEP1LastIdx, GEP2LastIdx, DL))
      return NoAlias;
  }
  return MayAlias;
} else if (!LastIndexedStruct || !C1 || !C2) {
  return MayAlias;
}

// We know that:
// - both GEPs begin indexing from the exact same pointer;
// - the last indices in both GEPs are constants, indexing into a struct;
// - said indices are different, hence, the pointed-to fields are different;
// - both GEPs only index through arrays prior to that.
//
// This lets us determine that the struct that GEP1 indexes into and the
// struct that GEP2 indexes into must either precisely overlap or be
// completely disjoint.  Because they cannot partially overlap, indexing into
// different non-overlapping fields of the struct will never alias.

// Therefore, the only remaining thing needed to show that both GEPs can't
// alias is that the fields are not overlapping.
const StructLayout *SL = DL.getStructLayout(LastIndexedStruct);
const uint64_t StructSize = SL->getSizeInBytes();
const uint64_t V1Off = SL->getElementOffset(C1->getZExtValue());
const uint64_t V2Off = SL->getElementOffset(C2->getZExtValue());

auto EltsDontOverlap = [StructSize](uint64_t V1Off, uint64_t V1Size,
                                    uint64_t V2Off, uint64_t V2Size) {
  return V1Off < V2Off && V1Off + V1Size <= V2Off &&
         ((V2Off + V2Size <= StructSize) ||
          (V2Off + V2Size - StructSize <= V1Off));
};

if (EltsDontOverlap(V1Off, V1Size, V2Off, V2Size) ||
    EltsDontOverlap(V2Off, V2Size, V1Off, V1Size))
  return NoAlias;

return MayAlias;
1144}

1146// If a we have (a) a GEP and (b) a pointer based on an alloca, and the
1147// beginning of the object the GEP points would have a negative offset with
1148// repsect to the alloca, that means the GEP can not alias pointer (b).
1149// Note that the pointer based on the alloca may not be a GEP. For
1150// example, it may be the alloca itself.
1151// The same applies if (b) is based on a GlobalVariable. Note that just being
1152// based on isIdentifiedObject() is not enough - we need an identified object
1153// that does not permit access to negative offsets. For example, a negative
1154// offset from a noalias argument or call can be inbounds w.r.t the actual
1155// underlying object.
1156//
1157// For example, consider:
1158//
1159//   struct { int f0, int f1, ...} foo;
1160//   foo alloca;
1161//   foo* random = bar(alloca);
1162//   int *f0 = &alloca.f0
1163//   int *f1 = &random->f1;
1164//
1165// Which is lowered, approximately, to:
1166//
1167//  %alloca = alloca %struct.foo
1168//  %random = call %struct.foo* @random(%struct.foo* %alloca)
1169//  %f0 = getelementptr inbounds %struct, %struct.foo* %alloca, i32 0, i32 0
1170//  %f1 = getelementptr inbounds %struct, %struct.foo* %random, i32 0, i32 1
1171//
1172// Assume %f1 and %f0 alias. Then %f1 would point into the object allocated
1173// by %alloca. Since the %f1 GEP is inbounds, that means %random must also
1174// point into the same object. But since %f0 points to the beginning of %alloca,
1175// the highest %f1 can be is (%alloca + 3). This means %random can not be higher
1176// than (%alloca - 1), and so is not inbounds, a contradiction.
1177bool BasicAAResult::isGEPBaseAtNegativeOffset(const GEPOperator *GEPOp,
    const DecomposedGEP &DecompGEP, const DecomposedGEP &DecompObject,
    LocationSize ObjectAccessSize) {
// If the object access size is unknown, or the GEP isn't inbounds, bail.
if (ObjectAccessSize == MemoryLocation::UnknownSize || !GEPOp->isInBounds())
  return false;

// We need the object to be an alloca or a globalvariable, and want to know
// the offset of the pointer from the object precisely, so no variable
// indices are allowed.
if (!(isa<AllocaInst>(DecompObject.Base) ||
      isa<GlobalVariable>(DecompObject.Base)) ||
    !DecompObject.VarIndices.empty())
  return false;

int64_t ObjectBaseOffset = DecompObject.StructOffset +
                           DecompObject.OtherOffset;

// If the GEP has no variable indices, we know the precise offset
// from the base, then use it. If the GEP has variable indices,
// we can't get exact GEP offset to identify pointer alias. So return
// false in that case.
if (!DecompGEP.VarIndices.empty())
  return false;
int64_t GEPBaseOffset = DecompGEP.StructOffset;
GEPBaseOffset += DecompGEP.OtherOffset;

return (GEPBaseOffset >= ObjectBaseOffset + (int64_t)ObjectAccessSize);
1205}

1207/// Provides a bunch of ad-hoc rules to disambiguate a GEP instruction against
1208/// another pointer.
1209///
1210/// We know that V1 is a GEP, but we don't know anything about V2.
1211/// UnderlyingV1 is GetUnderlyingObject(GEP1, DL), UnderlyingV2 is the same for
1212/// V2.
1213AliasResult
1214BasicAAResult::aliasGEP(const GEPOperator *GEP1, LocationSize V1Size,
                      const AAMDNodes &V1AAInfo, const Value *V2,
                      LocationSize V2Size, const AAMDNodes &V2AAInfo,
                      const Value *UnderlyingV1, const Value *UnderlyingV2) {
DecomposedGEP DecompGEP1, DecompGEP2;
bool GEP1MaxLookupReached =
  DecomposeGEPExpression(GEP1, DecompGEP1, DL, &AC, DT);
bool GEP2MaxLookupReached =
  DecomposeGEPExpression(V2, DecompGEP2, DL, &AC, DT);

int64_t GEP1BaseOffset = DecompGEP1.StructOffset + DecompGEP1.OtherOffset;
int64_t GEP2BaseOffset = DecompGEP2.StructOffset + DecompGEP2.OtherOffset;

assert(DecompGEP1.Base == UnderlyingV1 && DecompGEP2.Base == UnderlyingV2 &&(static_cast <bool> (DecompGEP1.Base == UnderlyingV1 &&
 DecompGEP2.Base == UnderlyingV2 && "DecomposeGEPExpression returned a result different from "
 "GetUnderlyingObject") ? void (0) : __assert_fail ("DecompGEP1.Base == UnderlyingV1 && DecompGEP2.Base == UnderlyingV2 && \"DecomposeGEPExpression returned a result different from \" \"GetUnderlyingObject\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1229, __extension__ __PRETTY_FUNCTION__))
       "DecomposeGEPExpression returned a result different from "(static_cast <bool> (DecompGEP1.Base == UnderlyingV1 &&
 DecompGEP2.Base == UnderlyingV2 && "DecomposeGEPExpression returned a result different from "
 "GetUnderlyingObject") ? void (0) : __assert_fail ("DecompGEP1.Base == UnderlyingV1 && DecompGEP2.Base == UnderlyingV2 && \"DecomposeGEPExpression returned a result different from \" \"GetUnderlyingObject\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1229, __extension__ __PRETTY_FUNCTION__))
       "GetUnderlyingObject")(static_cast <bool> (DecompGEP1.Base == UnderlyingV1 &&
 DecompGEP2.Base == UnderlyingV2 && "DecomposeGEPExpression returned a result different from "
 "GetUnderlyingObject") ? void (0) : __assert_fail ("DecompGEP1.Base == UnderlyingV1 && DecompGEP2.Base == UnderlyingV2 && \"DecomposeGEPExpression returned a result different from \" \"GetUnderlyingObject\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1229, __extension__ __PRETTY_FUNCTION__));

// If the GEP's offset relative to its base is such that the base would
// fall below the start of the object underlying V2, then the GEP and V2
// cannot alias.
if (!GEP1MaxLookupReached && !GEP2MaxLookupReached &&
    isGEPBaseAtNegativeOffset(GEP1, DecompGEP1, DecompGEP2, V2Size))
  return NoAlias;
// If we have two gep instructions with must-alias or not-alias'ing base
// pointers, figure out if the indexes to the GEP tell us anything about the
// derived pointer.
if (const GEPOperator *GEP2 = dyn_cast<GEPOperator>(V2)) {
  // Check for the GEP base being at a negative offset, this time in the other
  // direction.
  if (!GEP1MaxLookupReached && !GEP2MaxLookupReached &&
      isGEPBaseAtNegativeOffset(GEP2, DecompGEP2, DecompGEP1, V1Size))
    return NoAlias;
  // Do the base pointers alias?
  AliasResult BaseAlias =
      aliasCheck(UnderlyingV1, MemoryLocation::UnknownSize, AAMDNodes(),
                 UnderlyingV2, MemoryLocation::UnknownSize, AAMDNodes());

  // Check for geps of non-aliasing underlying pointers where the offsets are
  // identical.
  if ((BaseAlias == MayAlias) && V1Size == V2Size) {
    // Do the base pointers alias assuming type and size.
    AliasResult PreciseBaseAlias = aliasCheck(UnderlyingV1, V1Size, V1AAInfo,
                                              UnderlyingV2, V2Size, V2AAInfo);
    if (PreciseBaseAlias == NoAlias) {
      // See if the computed offset from the common pointer tells us about the
      // relation of the resulting pointer.
      // If the max search depth is reached the result is undefined
      if (GEP2MaxLookupReached || GEP1MaxLookupReached)
        return MayAlias;

      // Same offsets.
      if (GEP1BaseOffset == GEP2BaseOffset &&
          DecompGEP1.VarIndices == DecompGEP2.VarIndices)
        return NoAlias;
    }
  }

  // If we get a No or May, then return it immediately, no amount of analysis
  // will improve this situation.
  if (BaseAlias != MustAlias) {
    assert(BaseAlias == NoAlias || BaseAlias == MayAlias)(static_cast <bool> (BaseAlias == NoAlias || BaseAlias ==
 MayAlias) ? void (0) : __assert_fail ("BaseAlias == NoAlias || BaseAlias == MayAlias"
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1274, __extension__ __PRETTY_FUNCTION__));
    return BaseAlias;
  }

  // Otherwise, we have a MustAlias.  Since the base pointers alias each other
  // exactly, see if the computed offset from the common pointer tells us
  // about the relation of the resulting pointer.
  // If we know the two GEPs are based off of the exact same pointer (and not
  // just the same underlying object), see if that tells us anything about
  // the resulting pointers.
  if (GEP1->getPointerOperand()->stripPointerCastsAndInvariantGroups() ==
          GEP2->getPointerOperand()->stripPointerCastsAndInvariantGroups() &&
      GEP1->getPointerOperandType() == GEP2->getPointerOperandType()) {
    AliasResult R = aliasSameBasePointerGEPs(GEP1, V1Size, GEP2, V2Size, DL);
    // If we couldn't find anything interesting, don't abandon just yet.
    if (R != MayAlias)
      return R;
  }

  // If the max search depth is reached, the result is undefined
  if (GEP2MaxLookupReached || GEP1MaxLookupReached)
    return MayAlias;

  // Subtract the GEP2 pointer from the GEP1 pointer to find out their
  // symbolic difference.
  GEP1BaseOffset -= GEP2BaseOffset;
  GetIndexDifference(DecompGEP1.VarIndices, DecompGEP2.VarIndices);

} else {
  // Check to see if these two pointers are related by the getelementptr
  // instruction.  If one pointer is a GEP with a non-zero index of the other
  // pointer, we know they cannot alias.

  // If both accesses are unknown size, we can't do anything useful here.
  if (V1Size == MemoryLocation::UnknownSize &&
      V2Size == MemoryLocation::UnknownSize)
    return MayAlias;

  AliasResult R = aliasCheck(UnderlyingV1, MemoryLocation::UnknownSize,
                             AAMDNodes(), V2, MemoryLocation::UnknownSize,
                             V2AAInfo, nullptr, UnderlyingV2);
  if (R != MustAlias) {
    // If V2 may alias GEP base pointer, conservatively returns MayAlias.
    // If V2 is known not to alias GEP base pointer, then the two values
    // cannot alias per GEP semantics: "Any memory access must be done through
    // a pointer value associated with an address range of the memory access,
    // otherwise the behavior is undefined.".
    assert(R == NoAlias || R == MayAlias)(static_cast <bool> (R == NoAlias || R == MayAlias) ? void
 (0) : __assert_fail ("R == NoAlias || R == MayAlias", "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1321, __extension__ __PRETTY_FUNCTION__));
    return R;
  }

  // If the max search depth is reached the result is undefined
  if (GEP1MaxLookupReached)
    return MayAlias;
}

// In the two GEP Case, if there is no difference in the offsets of the
// computed pointers, the resultant pointers are a must alias.  This
// happens when we have two lexically identical GEP's (for example).
//
// In the other case, if we have getelementptr <ptr>, 0, 0, 0, 0, ... and V2
// must aliases the GEP, the end result is a must alias also.
if (GEP1BaseOffset == 0 && DecompGEP1.VarIndices.empty())
  return MustAlias;

// If there is a constant difference between the pointers, but the difference
// is less than the size of the associated memory object, then we know
// that the objects are partially overlapping.  If the difference is
// greater, we know they do not overlap.
if (GEP1BaseOffset != 0 && DecompGEP1.VarIndices.empty()) {
  if (GEP1BaseOffset >= 0) {
    if (V2Size != MemoryLocation::UnknownSize) {
      if ((uint64_t)GEP1BaseOffset < V2Size)
        return PartialAlias;
      return NoAlias;
    }
  } else {
    // We have the situation where:
    // +                +
    // | BaseOffset     |
    // ---------------->|
    // |-->V1Size       |-------> V2Size
    // GEP1             V2
    // We need to know that V2Size is not unknown, otherwise we might have
    // stripped a gep with negative index ('gep <ptr>, -1, ...).
    if (V1Size != MemoryLocation::UnknownSize &&
        V2Size != MemoryLocation::UnknownSize) {
      if (-(uint64_t)GEP1BaseOffset < V1Size)
        return PartialAlias;
      return NoAlias;
    }
  }
}

if (!DecompGEP1.VarIndices.empty()) {
  uint64_t Modulo = 0;
  bool AllPositive = true;
  for (unsigned i = 0, e = DecompGEP1.VarIndices.size(); i != e; ++i) {

    // Try to distinguish something like &A[i][1] against &A[42][0].
    // Grab the least significant bit set in any of the scales. We
    // don't need std::abs here (even if the scale's negative) as we'll
    // be ^'ing Modulo with itself later.
    Modulo |= (uint64_t)DecompGEP1.VarIndices[i].Scale;

    if (AllPositive) {
      // If the Value could change between cycles, then any reasoning about
      // the Value this cycle may not hold in the next cycle. We'll just
      // give up if we can't determine conditions that hold for every cycle:
      const Value *V = DecompGEP1.VarIndices[i].V;

      KnownBits Known = computeKnownBits(V, DL, 0, &AC, nullptr, DT);
      bool SignKnownZero = Known.isNonNegative();
      bool SignKnownOne = Known.isNegative();

      // Zero-extension widens the variable, and so forces the sign
      // bit to zero.
      bool IsZExt = DecompGEP1.VarIndices[i].ZExtBits > 0 || isa<ZExtInst>(V);
      SignKnownZero |= IsZExt;
      SignKnownOne &= !IsZExt;

      // If the variable begins with a zero then we know it's
      // positive, regardless of whether the value is signed or
      // unsigned.
      int64_t Scale = DecompGEP1.VarIndices[i].Scale;
      AllPositive =
          (SignKnownZero && Scale >= 0) || (SignKnownOne && Scale < 0);
    }
  }

  Modulo = Modulo ^ (Modulo & (Modulo - 1));

  // We can compute the difference between the two addresses
  // mod Modulo. Check whether that difference guarantees that the
  // two locations do not alias.
  uint64_t ModOffset = (uint64_t)GEP1BaseOffset & (Modulo - 1);
  if (V1Size != MemoryLocation::UnknownSize &&
      V2Size != MemoryLocation::UnknownSize && ModOffset >= V2Size &&
      V1Size <= Modulo - ModOffset)
    return NoAlias;

  // If we know all the variables are positive, then GEP1 >= GEP1BasePtr.
  // If GEP1BasePtr > V2 (GEP1BaseOffset > 0) then we know the pointers
  // don't alias if V2Size can fit in the gap between V2 and GEP1BasePtr.
  if (AllPositive && GEP1BaseOffset > 0 && V2Size <= (uint64_t)GEP1BaseOffset)
    return NoAlias;

  if (constantOffsetHeuristic(DecompGEP1.VarIndices, V1Size, V2Size,
                              GEP1BaseOffset, &AC, DT))
    return NoAlias;
}

// Statically, we can see that the base objects are the same, but the
// pointers have dynamic offsets which we can't resolve. And none of our
// little tricks above worked.
return MayAlias;
1430}

1432static AliasResult MergeAliasResults(AliasResult A, AliasResult B) {
// If the results agree, take it.
if (A == B)
  return A;
// A mix of PartialAlias and MustAlias is PartialAlias.
if ((A == PartialAlias && B == MustAlias) ||
    (B == PartialAlias && A == MustAlias))
  return PartialAlias;
// Otherwise, we don't know anything.
return MayAlias;
1442}

1444/// Provides a bunch of ad-hoc rules to disambiguate a Select instruction
1445/// against another.
1446AliasResult BasicAAResult::aliasSelect(const SelectInst *SI,
                                     LocationSize SISize,
                                     const AAMDNodes &SIAAInfo,
                                     const Value *V2, LocationSize V2Size,
                                     const AAMDNodes &V2AAInfo,
                                     const Value *UnderV2) {
// If the values are Selects with the same condition, we can do a more precise
// check: just check for aliases between the values on corresponding arms.
if (const SelectInst *SI2 = dyn_cast<SelectInst>(V2))
  if (SI->getCondition() == SI2->getCondition()) {
    AliasResult Alias = aliasCheck(SI->getTrueValue(), SISize, SIAAInfo,
                                   SI2->getTrueValue(), V2Size, V2AAInfo);
    if (Alias == MayAlias)
      return MayAlias;
    AliasResult ThisAlias =
        aliasCheck(SI->getFalseValue(), SISize, SIAAInfo,
                   SI2->getFalseValue(), V2Size, V2AAInfo);
    return MergeAliasResults(ThisAlias, Alias);
  }

// If both arms of the Select node NoAlias or MustAlias V2, then returns
// NoAlias / MustAlias. Otherwise, returns MayAlias.
AliasResult Alias =
    aliasCheck(V2, V2Size, V2AAInfo, SI->getTrueValue(),
               SISize, SIAAInfo, UnderV2);
if (Alias == MayAlias)
  return MayAlias;

AliasResult ThisAlias =
    aliasCheck(V2, V2Size, V2AAInfo, SI->getFalseValue(), SISize, SIAAInfo,
               UnderV2);
return MergeAliasResults(ThisAlias, Alias);
1478}

1480/// Provide a bunch of ad-hoc rules to disambiguate a PHI instruction against
1481/// another.
1482AliasResult BasicAAResult::aliasPHI(const PHINode *PN, LocationSize PNSize,
                                  const AAMDNodes &PNAAInfo, const Value *V2,
                                  LocationSize V2Size,
                                  const AAMDNodes &V2AAInfo,
                                  const Value *UnderV2) {
// Track phi nodes we have visited. We use this information when we determine
// value equivalence.
VisitedPhiBBs.insert(PN->getParent());

// If the values are PHIs in the same block, we can do a more precise
// as well as efficient check: just check for aliases between the values
// on corresponding edges.
if (const PHINode *PN2 = dyn_cast<PHINode>(V2))
  if (PN2->getParent() == PN->getParent()) {
    LocPair Locs(MemoryLocation(PN, PNSize, PNAAInfo),
                 MemoryLocation(V2, V2Size, V2AAInfo));
    if (PN > V2)
      std::swap(Locs.first, Locs.second);
    // Analyse the PHIs' inputs under the assumption that the PHIs are
    // NoAlias.
    // If the PHIs are May/MustAlias there must be (recursively) an input
    // operand from outside the PHIs' cycle that is MayAlias/MustAlias or
    // there must be an operation on the PHIs within the PHIs' value cycle
    // that causes a MayAlias.
    // Pretend the phis do not alias.
    AliasResult Alias = NoAlias;
    assert(AliasCache.count(Locs) &&(static_cast <bool> (AliasCache.count(Locs) && "There must exist an entry for the phi node"
) ? void (0) : __assert_fail ("AliasCache.count(Locs) && \"There must exist an entry for the phi node\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1509, __extension__ __PRETTY_FUNCTION__))
           "There must exist an entry for the phi node")(static_cast <bool> (AliasCache.count(Locs) && "There must exist an entry for the phi node"
) ? void (0) : __assert_fail ("AliasCache.count(Locs) && \"There must exist an entry for the phi node\""
, "/build/llvm-toolchain-snapshot-7~svn337204/lib/Analysis/BasicAliasAnalysis.cpp"
, 1509, __extension__ __PRETTY_FUNCTION__));
    AliasResult OrigAliasResult = AliasCache[Locs];
    AliasCache[Locs] = NoAlias;

    for (unsigned i = 0, e = PN->getNumIncomingValues(); i != e; ++i) {
      AliasResult ThisAlias =
          aliasCheck(PN->getIncomingValue(i), PNSize, PNAAInfo,
                     PN2->getIncomingValueForBlock(PN->getIncomingBlock(i)),
                     V2Size, V2AAInfo);
      Alias = MergeAliasResults(ThisAlias, Alias);
      if (Alias == MayAlias)
        break;
    }

    // Reset if speculation failed.
    if (Alias != NoAlias)
      AliasCache[Locs] = OrigAliasResult;

    return Alias;
  }

SmallPtrSet<Value *, 4> UniqueSrc;
SmallVector<Value *, 4> V1Srcs;
bool isRecursive = false;
for (Value *PV1 : PN->incoming_values()) {
  if (isa<PHINode>(PV1))
    // If any of the source itself is a PHI, return MayAlias conservatively
    // to avoid compile time explosion. The worst possible case is if both
    // sides are PHI nodes. In which case, this is O(m x n) time where 'm'
    // and 'n' are the number of PHI sources.
    return MayAlias;

  if (EnableRecPhiAnalysis)
    if (GEPOperator *PV1GEP = dyn_cast<GEPOperator>(PV1)) {
      // Check whether the incoming value is a GEP that advances the pointer
      // result of this PHI node (e.g. in a loop). If this is the case, we
      // would recurse and always get a MayAlias. Handle this case specially
      // below.
      if (PV1GEP->getPointerOperand() == PN && PV1GEP->getNumIndices() == 1 &&
          isa<ConstantInt>(PV1GEP->idx_begin())) {
        isRecursive = true;
        continue;
      }
    }

  if (UniqueSrc.insert(PV1).second)
    V1Srcs.push_back(PV1);
}

// If this PHI node is recursive, set the size of the accessed memory to
// unknown to represent all the possible values the GEP could advance the
// pointer to.
if (isRecursive)
  PNSize = MemoryLocation::UnknownSize;

AliasResult Alias =
    aliasCheck(V2, V2Size, V2AAInfo, V1Srcs[0],
               PNSize, PNAAInfo, UnderV2);

// Early exit if the check of the first PHI source against V2 is MayAlias.
// Other results are not possible.
if (Alias == MayAlias)
  return MayAlias;

// If all sources of the PHI node NoAlias or MustAlias V2, then returns
// NoAlias / MustAlias. Otherwise, returns MayAlias.
for (unsigned i = 1, e = V1Srcs.size(); i != e; ++i) {
  Value *V = V1Srcs[i];

  AliasResult ThisAlias =
      aliasCheck(V2, V2Size, V2AAInfo, V, PNSize, PNAAInfo, UnderV2);
  Alias = MergeAliasResults(ThisAlias, Alias);
  if (Alias == MayAlias)
    break;
}

return Alias;
1586}

1588/// Provides a bunch of ad-hoc rules to disambiguate in common cases, such as
1589/// array references.
1590AliasResult BasicAAResult::aliasCheck(const Value *V1, LocationSize V1Size,
                                    AAMDNodes V1AAInfo, const Value *V2,
                                    LocationSize V2Size, AAMDNodes V2AAInfo,
                                    const Value *O1, const Value *O2) {
// If either of the memory references is empty, it doesn't matter what the
// pointer values are.
if (V1Size == 0 || V2Size == 0)
  return NoAlias;

// Strip off any casts if they exist.
V1 = V1->stripPointerCastsAndInvariantGroups();
V2 = V2->stripPointerCastsAndInvariantGroups();

// If V1 or V2 is undef, the result is NoAlias because we can always pick a
// value for undef that aliases nothing in the program.
if (isa<UndefValue>(V1) || isa<UndefValue>(V2))
  return NoAlias;

// Are we checking for alias of the same value?
// Because we look 'through' phi nodes, we could look at "Value" pointers from
// different iterations. We must therefore make sure that this is not the
// case. The function isValueEqualInPotentialCycles ensures that this cannot
// happen by looking at the visited phi nodes and making sure they cannot
// reach the value.
if (isValueEqualInPotentialCycles(V1, V2))
  return MustAlias;

if (!V1->getType()->isPointerTy() || !V2->getType()->isPointerTy())
  return NoAlias; // Scalars cannot alias each other

// Figure out what objects these things are pointing to if we can.
if (O1 == nullptr)
  O1 = GetUnderlyingObject(V1, DL, MaxLookupSearchDepth);

if (O2 == nullptr)
  O2 = GetUnderlyingObject(V2, DL, MaxLookupSearchDepth);

// Null values in the default address space don't point to any object, so they
// don't alias any other pointer.
if (const ConstantPointerNull *CPN = dyn_cast<ConstantPointerNull>(O1))
  if (!NullPointerIsDefined(&F, CPN->getType()->getAddressSpace()))
    return NoAlias;
if (const ConstantPointerNull *CPN = dyn_cast<ConstantPointerNull>(O2))
  if (!NullPointerIsDefined(&F, CPN->getType()->getAddressSpace()))
    return NoAlias;

if (O1 != O2) {
  // If V1/V2 point to two different objects, we know that we have no alias.
  if (isIdentifiedObject(O1) && isIdentifiedObject(O2))
    return NoAlias;

  // Constant pointers can't alias with non-const isIdentifiedObject objects.
  if ((isa<Constant>(O1) && isIdentifiedObject(O2) && !isa<Constant>(O2)) ||
      (isa<Constant>(O2) && isIdentifiedObject(O1) && !isa<Constant>(O1)))
    return NoAlias;

  // Function arguments can't alias with things that are known to be
  // unambigously identified at the function level.
  if ((isa<Argument>(O1) && isIdentifiedFunctionLocal(O2)) ||
      (isa<Argument>(O2) && isIdentifiedFunctionLocal(O1)))
    return NoAlias;

  // If one pointer is the result of a call/invoke or load and the other is a
  // non-escaping local object within the same function, then we know the
  // object couldn't escape to a point where the call could return it.
  //
  // Note that if the pointers are in different functions, there are a
  // variety of complications. A call with a nocapture argument may still
  // temporary store the nocapture argument's value in a temporary memory
  // location if that memory location doesn't escape. Or it may pass a
  // nocapture value to other functions as long as they don't capture it.
  if (isEscapeSource(O1) && isNonEscapingLocalObject(O2))
    return NoAlias;
  if (isEscapeSource(O2) && isNonEscapingLocalObject(O1))
    return NoAlias;
}

// If the size of one access is larger than the entire object on the other
// side, then we know such behavior is undefined and can assume no alias.
bool NullIsValidLocation = NullPointerIsDefined(&F);
if ((V1Size != MemoryLocation::UnknownSize &&
     isObjectSmallerThan(O2, V1Size, DL, TLI, NullIsValidLocation)) ||
    (V2Size != MemoryLocation::UnknownSize &&
     isObjectSmallerThan(O1, V2Size, DL, TLI, NullIsValidLocation)))
  return NoAlias;

// Check the cache before climbing up use-def chains. This also terminates
// otherwise infinitely recursive queries.
LocPair Locs(MemoryLocation(V1, V1Size, V1AAInfo),
             MemoryLocation(V2, V2Size, V2AAInfo));
if (V1 > V2)
  std::swap(Locs.first, Locs.second);
std::pair<AliasCacheTy::iterator, bool> Pair =
    AliasCache.insert(std::make_pair(Locs, MayAlias));
if (!Pair.second)
  return Pair.first->second;

// FIXME: This isn't aggressively handling alias(GEP, PHI) for example: if the
// GEP can't simplify, we don't even look at the PHI cases.
if (!isa<GEPOperator>(V1) && isa<GEPOperator>(V2)) {
  std::swap(V1, V2);
  std::swap(V1Size, V2Size);
  std::swap(O1, O2);
  std::swap(V1AAInfo, V2AAInfo);
}
if (const GEPOperator *GV1 = dyn_cast<GEPOperator>(V1)) {
  AliasResult Result =
      aliasGEP(GV1, V1Size, V1AAInfo, V2, V2Size, V2AAInfo, O1, O2);
  if (Result != MayAlias)
    return AliasCache[Locs] = Result;
}

if (isa<PHINode>(V2) && !isa<PHINode>(V1)) {
  std::swap(V1, V2);
  std::swap(O1, O2);
  std::swap(V1Size, V2Size);
  std::swap(V1AAInfo, V2AAInfo);
}
if (const PHINode *PN = dyn_cast<PHINode>(V1)) {
  AliasResult Result = aliasPHI(PN, V1Size, V1AAInfo,
                                V2, V2Size, V2AAInfo, O2);
  if (Result != MayAlias)
    return AliasCache[Locs] = Result;
}

if (isa<SelectInst>(V2) && !isa<SelectInst>(V1)) {
  std::swap(V1, V2);
  std::swap(O1, O2);
  std::swap(V1Size, V2Size);
  std::swap(V1AAInfo, V2AAInfo);
}
if (const SelectInst *S1 = dyn_cast<SelectInst>(V1)) {
  AliasResult Result =
      aliasSelect(S1, V1Size, V1AAInfo, V2, V2Size, V2AAInfo, O2);
  if (Result != MayAlias)
    return AliasCache[Locs] = Result;
}

// If both pointers are pointing into the same object and one of them
// accesses the entire object, then the accesses must overlap in some way.
if (O1 == O2)
  if (V1Size != MemoryLocation::UnknownSize &&
      V2Size != MemoryLocation::UnknownSize &&
      (isObjectSize(O1, V1Size, DL, TLI, NullIsValidLocation) ||
       isObjectSize(O2, V2Size, DL, TLI, NullIsValidLocation)))
    return AliasCache[Locs] = PartialAlias;

// Recurse back into the best AA results we have, potentially with refined
// memory locations. We have already ensured that BasicAA has a MayAlias
// cache result for these, so any recursion back into BasicAA won't loop.
AliasResult Result = getBestAAResults().alias(Locs.first, Locs.second);
return AliasCache[Locs] = Result;
1742}

1744/// Check whether two Values can be considered equivalent.
1745///
1746/// In addition to pointer equivalence of \p V1 and \p V2 this checks whether
1747/// they can not be part of a cycle in the value graph by looking at all
1748/// visited phi nodes an making sure that the phis cannot reach the value. We
1749/// have to do this because we are looking through phi nodes (That is we say
1750/// noalias(V, phi(VA, VB)) if noalias(V, VA) and noalias(V, VB).
1751bool BasicAAResult::isValueEqualInPotentialCycles(const Value *V,
                                                const Value *V2) {
if (V != V2)
  return false;

const Instruction *Inst = dyn_cast<Instruction>(V);
if (!Inst)
  return true;

if (VisitedPhiBBs.empty())
  return true;

if (VisitedPhiBBs.size() > MaxNumPhiBBsValueReachabilityCheck)
  return false;

// Make sure that the visited phis cannot reach the Value. This ensures that
// the Values cannot come from different iterations of a potential cycle the
// phi nodes could be involved in.
for (auto *P : VisitedPhiBBs)
  if (isPotentiallyReachable(&P->front(), Inst, DT, LI))
    return false;

return true;
1774}

1776/// Computes the symbolic difference between two de-composed GEPs.
1777///
1778/// Dest and Src are the variable indices from two decomposed GetElementPtr
1779/// instructions GEP1 and GEP2 which have common base pointers.
1780void BasicAAResult::GetIndexDifference(
  SmallVectorImpl<VariableGEPIndex> &Dest,
  const SmallVectorImpl<VariableGEPIndex> &Src) {
if (Src.empty())
  return;

for (unsigned i = 0, e = Src.size(); i != e; ++i) {
  const Value *V = Src[i].V;
  unsigned ZExtBits = Src[i].ZExtBits, SExtBits = Src[i].SExtBits;
  int64_t Scale = Src[i].Scale;

  // Find V in Dest.  This is N^2, but pointer indices almost never have more
  // than a few variable indexes.
  for (unsigned j = 0, e = Dest.size(); j != e; ++j) {
    if (!isValueEqualInPotentialCycles(Dest[j].V, V) ||
        Dest[j].ZExtBits != ZExtBits || Dest[j].SExtBits != SExtBits)
      continue;

    // If we found it, subtract off Scale V's from the entry in Dest.  If it
    // goes to zero, remove the entry.
    if (Dest[j].Scale != Scale)
      Dest[j].Scale -= Scale;
    else
      Dest.erase(Dest.begin() + j);
    Scale = 0;
    break;
  }

  // If we didn't consume this entry, add it to the end of the Dest list.
  if (Scale) {
    VariableGEPIndex Entry = {V, ZExtBits, SExtBits, -Scale};
    Dest.push_back(Entry);
  }
}
1814}

1816bool BasicAAResult::constantOffsetHeuristic(
  const SmallVectorImpl<VariableGEPIndex> &VarIndices, LocationSize V1Size,
  LocationSize V2Size, int64_t BaseOffset, AssumptionCache *AC,
  DominatorTree *DT) {
if (VarIndices.size() != 2 || V1Size == MemoryLocation::UnknownSize ||
1
Assuming the condition is false→
2
←
Assuming 'V1Size' is not equal to UnknownSize→
4
←
Taking false branch→
    V2Size == MemoryLocation::UnknownSize)
3
←
Assuming 'V2Size' is not equal to UnknownSize→
  return false;

const VariableGEPIndex &Var0 = VarIndices[0], &Var1 = VarIndices[1];

if (Var0.ZExtBits != Var1.ZExtBits || Var0.SExtBits != Var1.SExtBits ||
5
←
Taking false branch→
    Var0.Scale != -Var1.Scale)
  return false;

unsigned Width = Var1.V->getType()->getIntegerBitWidth();

// We'll strip off the Extensions of Var0 and Var1 and do another round
// of GetLinearExpression decomposition. In the example above, if Var0
// is zext(%x + 1) we should get V1 == %x and V1Offset == 1.

APInt V0Scale(Width, 0), V0Offset(Width, 0), V1Scale(Width, 0),
    V1Offset(Width, 0);
bool NSW = true, NUW = true;
unsigned V0ZExtBits = 0, V0SExtBits = 0, V1ZExtBits = 0, V1SExtBits = 0;
const Value *V0 = GetLinearExpression(Var0.V, V0Scale, V0Offset, V0ZExtBits,
6
←
Calling 'BasicAAResult::GetLinearExpression'→
                                      V0SExtBits, DL, 0, AC, DT, NSW, NUW);
NSW = true;
NUW = true;
const Value *V1 = GetLinearExpression(Var1.V, V1Scale, V1Offset, V1ZExtBits,
                                      V1SExtBits, DL, 0, AC, DT, NSW, NUW);

if (V0Scale != V1Scale || V0ZExtBits != V1ZExtBits ||
    V0SExtBits != V1SExtBits || !isValueEqualInPotentialCycles(V0, V1))
  return false;

// We have a hit - Var0 and Var1 only differ by a constant offset!

// If we've been sext'ed then zext'd the maximum difference between Var0 and
// Var1 is possible to calculate, but we're just interested in the absolute
// minimum difference between the two. The minimum distance may occur due to
// wrapping; consider "add i3 %i, 5": if %i == 7 then 7 + 5 mod 8 == 4, and so
// the minimum distance between %i and %i + 5 is 3.
APInt MinDiff = V0Offset - V1Offset, Wrapped = -MinDiff;
MinDiff = APIntOps::umin(MinDiff, Wrapped);
uint64_t MinDiffBytes = MinDiff.getZExtValue() * std::abs(Var0.Scale);

// We can't definitely say whether GEP1 is before or after V2 due to wrapping
// arithmetic (i.e. for some values of GEP1 and V2 GEP1 < V2, and for other
// values GEP1 > V2). We'll therefore only declare NoAlias if both V1Size and
// V2Size can fit in the MinDiffBytes gap.
return V1Size + std::abs(BaseOffset) <= MinDiffBytes &&
       V2Size + std::abs(BaseOffset) <= MinDiffBytes;
1868}

1870//===----------------------------------------------------------------------===//
1871// BasicAliasAnalysis Pass
1872//===----------------------------------------------------------------------===//

1874AnalysisKey BasicAA::Key;

1876BasicAAResult BasicAA::run(Function &F, FunctionAnalysisManager &AM) {
return BasicAAResult(F.getParent()->getDataLayout(),
                     F,
                     AM.getResult<TargetLibraryAnalysis>(F),
                     AM.getResult<AssumptionAnalysis>(F),
                     &AM.getResult<DominatorTreeAnalysis>(F),
                     AM.getCachedResult<LoopAnalysis>(F));
1883}

1885BasicAAWrapperPass::BasicAAWrapperPass() : FunctionPass(ID) {
  initializeBasicAAWrapperPassPass(*PassRegistry::getPassRegistry());
1887}

1889char BasicAAWrapperPass::ID = 0;

1891void BasicAAWrapperPass::anchor() {}

1893INITIALIZE_PASS_BEGIN(BasicAAWrapperPass, "basicaa",static void *initializeBasicAAWrapperPassPassOnce(PassRegistry
 &Registry) {
                    "Basic Alias Analysis (stateless AA impl)", true, true)static void *initializeBasicAAWrapperPassPassOnce(PassRegistry
 &Registry) {
1895INITIALIZE_PASS_DEPENDENCY(AssumptionCacheTracker)initializeAssumptionCacheTrackerPass(Registry);
1896INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)initializeDominatorTreeWrapperPassPass(Registry);
1897INITIALIZE_PASS_DEPENDENCY(TargetLibraryInfoWrapperPass)initializeTargetLibraryInfoWrapperPassPass(Registry);
1898INITIALIZE_PASS_END(BasicAAWrapperPass, "basicaa",PassInfo *PI = new PassInfo( "Basic Alias Analysis (stateless AA impl)"
, "basicaa", &BasicAAWrapperPass::ID, PassInfo::NormalCtor_t
(callDefaultCtor<BasicAAWrapperPass>), true, true); Registry
.registerPass(*PI, true); return PI; } static llvm::once_flag
 InitializeBasicAAWrapperPassPassFlag; void llvm::initializeBasicAAWrapperPassPass
(PassRegistry &Registry) { llvm::call_once(InitializeBasicAAWrapperPassPassFlag
, initializeBasicAAWrapperPassPassOnce, std::ref(Registry)); }
                  "Basic Alias Analysis (stateless AA impl)", true, true)PassInfo *PI = new PassInfo( "Basic Alias Analysis (stateless AA impl)"
, "basicaa", &BasicAAWrapperPass::ID, PassInfo::NormalCtor_t
(callDefaultCtor<BasicAAWrapperPass>), true, true); Registry
.registerPass(*PI, true); return PI; } static llvm::once_flag
 InitializeBasicAAWrapperPassPassFlag; void llvm::initializeBasicAAWrapperPassPass
(PassRegistry &Registry) { llvm::call_once(InitializeBasicAAWrapperPassPassFlag
, initializeBasicAAWrapperPassPassOnce, std::ref(Registry)); }

1901FunctionPass *llvm::createBasicAAWrapperPass() {
return new BasicAAWrapperPass();
1903}

1905bool BasicAAWrapperPass::runOnFunction(Function &F) {
auto &ACT = getAnalysis<AssumptionCacheTracker>();
auto &TLIWP = getAnalysis<TargetLibraryInfoWrapperPass>();
auto &DTWP = getAnalysis<DominatorTreeWrapperPass>();
auto *LIWP = getAnalysisIfAvailable<LoopInfoWrapperPass>();

Result.reset(new BasicAAResult(F.getParent()->getDataLayout(), F, TLIWP.getTLI(),
                               ACT.getAssumptionCache(F), &DTWP.getDomTree(),
                               LIWP ? &LIWP->getLoopInfo() : nullptr));

return false;
1916}

1918void BasicAAWrapperPass::getAnalysisUsage(AnalysisUsage &AU) const {
AU.setPreservesAll();
AU.addRequired<AssumptionCacheTracker>();
AU.addRequired<DominatorTreeWrapperPass>();
AU.addRequired<TargetLibraryInfoWrapperPass>();
1923}

1925BasicAAResult llvm::createLegacyPMBasicAAResult(Pass &P, Function &F) {
return BasicAAResult(
    F.getParent()->getDataLayout(),
    F,
    P.getAnalysis<TargetLibraryInfoWrapperPass>().getTLI(),
    P.getAnalysis<AssumptionCacheTracker>().getAssumptionCache(F));
1931}

←

/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h

1//===-- llvm/ADT/APInt.h - For Arbitrary Precision Integer -----*- C++ -*--===//
2//
3//                     The LLVM Compiler Infrastructure
4//
5// This file is distributed under the University of Illinois Open Source
6// License. See LICENSE.TXT for details.
7//
8//===----------------------------------------------------------------------===//
9///
10/// \file
11/// This file implements a class to represent arbitrary precision
12/// integral constant values and operations on them.
13///
14//===----------------------------------------------------------------------===//

16#ifndef LLVM_ADT_APINT_H
17#define LLVM_ADT_APINT_H

19#include "llvm/Support/Compiler.h"
20#include "llvm/Support/MathExtras.h"
21#include <cassert>
22#include <climits>
23#include <cstring>
24#include <string>

26namespace llvm {
27class FoldingSetNodeID;
28class StringRef;
29class hash_code;
30class raw_ostream;

32template <typename T> class SmallVectorImpl;
33template <typename T> class ArrayRef;

35class APInt;

37inline APInt operator-(APInt);

39//===----------------------------------------------------------------------===//
40//                              APInt Class
41//===----------------------------------------------------------------------===//

43/// Class for arbitrary precision integers.
44///
45/// APInt is a functional replacement for common case unsigned integer type like
46/// "unsigned", "unsigned long" or "uint64_t", but also allows non-byte-width
47/// integer sizes and large integer value types such as 3-bits, 15-bits, or more
48/// than 64-bits of precision. APInt provides a variety of arithmetic operators
49/// and methods to manipulate integer values of any bit-width. It supports both
50/// the typical integer arithmetic and comparison operations as well as bitwise
51/// manipulation.
52///
53/// The class has several invariants worth noting:
54///   * All bit, byte, and word positions are zero-based.
55///   * Once the bit width is set, it doesn't change except by the Truncate,
56///     SignExtend, or ZeroExtend operations.
57///   * All binary operators must be on APInt instances of the same bit width.
58///     Attempting to use these operators on instances with different bit
59///     widths will yield an assertion.
60///   * The value is stored canonically as an unsigned value. For operations
61///     where it makes a difference, there are both signed and unsigned variants
62///     of the operation. For example, sdiv and udiv. However, because the bit
63///     widths must be the same, operations such as Mul and Add produce the same
64///     results regardless of whether the values are interpreted as signed or
65///     not.
66///   * In general, the class tries to follow the style of computation that LLVM
67///     uses in its IR. This simplifies its use for LLVM.
68///
69class LLVM_NODISCARD[[clang::warn_unused_result]] APInt {
70public:
typedef uint64_t WordType;

/// This enum is used to hold the constants we needed for APInt.
enum : unsigned {
  /// Byte size of a word.
  APINT_WORD_SIZE = sizeof(WordType),
  /// Bits in a word.
  APINT_BITS_PER_WORD = APINT_WORD_SIZE * CHAR_BIT8
};

enum class Rounding {
  DOWN,
  TOWARD_ZERO,
  UP,
};

static const WordType WORD_MAX = ~WordType(0);

89private:
/// This union is used to store the integer value. When the
/// integer bit-width <= 64, it uses VAL, otherwise it uses pVal.
union {
  uint64_t VAL;   ///< Used to store the <= 64 bits integer value.
  uint64_t *pVal; ///< Used to store the >64 bits integer value.
} U;

unsigned BitWidth; ///< The number of bits in this APInt.

friend struct DenseMapAPIntKeyInfo;

friend class APSInt;

/// Fast internal constructor
///
/// This constructor is used only internally for speed of construction of
/// temporaries. It is unsafe for general use so it is not public.
APInt(uint64_t *val, unsigned bits) : BitWidth(bits) {
  U.pVal = val;
}

/// Determine if this APInt just has one word to store value.
///
/// \returns true if the number of bits <= 64, false otherwise.
bool isSingleWord() const { return BitWidth <= APINT_BITS_PER_WORD; }

/// Determine which word a bit is in.
///
/// \returns the word position for the specified bit position.
static unsigned whichWord(unsigned bitPosition) {
  return bitPosition / APINT_BITS_PER_WORD;
}

/// Determine which bit in a word a bit is in.
///
/// \returns the bit position in a word for the specified bit position
/// in the APInt.
static unsigned whichBit(unsigned bitPosition) {
  return bitPosition % APINT_BITS_PER_WORD;
}

/// Get a single bit mask.
///
/// \returns a uint64_t with only bit at "whichBit(bitPosition)" set
/// This method generates and returns a uint64_t (word) mask for a single
/// bit at a specific bit position. This is used to mask the bit in the
/// corresponding word.
static uint64_t maskBit(unsigned bitPosition) {
  return 1ULL << whichBit(bitPosition);
}

/// Clear unused high order bits
///
/// This method is used internally to clear the top "N" bits in the high order
/// word that are not used by the APInt. This is needed after the most
/// significant word is assigned a value to ensure that those bits are
/// zero'd out.
APInt &clearUnusedBits() {
  // Compute how many bits are used in the final word
  unsigned WordBits = ((BitWidth-1) % APINT_BITS_PER_WORD) + 1;

  // Mask out the high bits.
  uint64_t mask = WORD_MAX >> (APINT_BITS_PER_WORD - WordBits);
  if (isSingleWord())
    U.VAL &= mask;
  else
    U.pVal[getNumWords() - 1] &= mask;
  return *this;
}

/// Get the word corresponding to a bit position
/// \returns the corresponding word for the specified bit position.
uint64_t getWord(unsigned bitPosition) const {
  return isSingleWord() ? U.VAL : U.pVal[whichWord(bitPosition)];
}

/// Utility method to change the bit width of this APInt to new bit width,
/// allocating and/or deallocating as necessary. There is no guarantee on the
/// value of any bits upon return. Caller should populate the bits after.
void reallocate(unsigned NewBitWidth);

/// Convert a char array into an APInt
///
/// \param radix 2, 8, 10, 16, or 36
/// Converts a string into a number.  The string must be non-empty
/// and well-formed as a number of the given base. The bit-width
/// must be sufficient to hold the result.
///
/// This is used by the constructors that take string arguments.
///
/// StringRef::getAsInteger is superficially similar but (1) does
/// not assume that the string is well-formed and (2) grows the
/// result to hold the input.
void fromString(unsigned numBits, StringRef str, uint8_t radix);

/// An internal division function for dividing APInts.
///
/// This is used by the toString method to divide by the radix. It simply
/// provides a more convenient form of divide for internal use since KnuthDiv
/// has specific constraints on its inputs. If those constraints are not met
/// then it provides a simpler form of divide.
static void divide(const WordType *LHS, unsigned lhsWords,
                   const WordType *RHS, unsigned rhsWords, WordType *Quotient,
                   WordType *Remainder);

/// out-of-line slow case for inline constructor
void initSlowCase(uint64_t val, bool isSigned);

/// shared code between two array constructors
void initFromArray(ArrayRef<uint64_t> array);

/// out-of-line slow case for inline copy constructor
void initSlowCase(const APInt &that);

/// out-of-line slow case for shl
void shlSlowCase(unsigned ShiftAmt);

/// out-of-line slow case for lshr.
void lshrSlowCase(unsigned ShiftAmt);

/// out-of-line slow case for ashr.
void ashrSlowCase(unsigned ShiftAmt);

/// out-of-line slow case for operator=
void AssignSlowCase(const APInt &RHS);

/// out-of-line slow case for operator==
bool EqualSlowCase(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for countLeadingZeros
unsigned countLeadingZerosSlowCase() const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for countLeadingOnes.
unsigned countLeadingOnesSlowCase() const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for countTrailingZeros.
unsigned countTrailingZerosSlowCase() const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for countTrailingOnes
unsigned countTrailingOnesSlowCase() const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for countPopulation
unsigned countPopulationSlowCase() const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for intersects.
bool intersectsSlowCase(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for isSubsetOf.
bool isSubsetOfSlowCase(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));

/// out-of-line slow case for setBits.
void setBitsSlowCase(unsigned loBit, unsigned hiBit);

/// out-of-line slow case for flipAllBits.
void flipAllBitsSlowCase();

/// out-of-line slow case for operator&=.
void AndAssignSlowCase(const APInt& RHS);

/// out-of-line slow case for operator|=.
void OrAssignSlowCase(const APInt& RHS);

/// out-of-line slow case for operator^=.
void XorAssignSlowCase(const APInt& RHS);

/// Unsigned comparison. Returns -1, 0, or 1 if this APInt is less than, equal
/// to, or greater than RHS.
int compare(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));

/// Signed comparison. Returns -1, 0, or 1 if this APInt is less than, equal
/// to, or greater than RHS.
int compareSigned(const APInt &RHS) const LLVM_READONLY__attribute__((__pure__));

263public:
/// \name Constructors
/// @{

/// Create a new APInt of numBits width, initialized as val.
///
/// If isSigned is true then val is treated as if it were a signed value
/// (i.e. as an int64_t) and the appropriate sign extension to the bit width
/// will be done. Otherwise, no sign extension occurs (high order bits beyond
/// the range of val are zero filled).
///
/// \param numBits the bit width of the constructed APInt
/// \param val the initial value of the APInt
/// \param isSigned how to treat signedness of val
APInt(unsigned numBits, uint64_t val, bool isSigned = false)
    : BitWidth(numBits) {
  assert(BitWidth && "bitwidth too small")(static_cast <bool> (BitWidth && "bitwidth too small"
) ? void (0) : __assert_fail ("BitWidth && \"bitwidth too small\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 279, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord()) {
    U.VAL = val;
    clearUnusedBits();
  } else {
    initSlowCase(val, isSigned);
  }
}

/// Construct an APInt of numBits width, initialized as bigVal[].
///
/// Note that bigVal.size() can be smaller or larger than the corresponding
/// bit width but any extraneous bits will be dropped.
///
/// \param numBits the bit width of the constructed APInt
/// \param bigVal a sequence of words to form the initial value of the APInt
APInt(unsigned numBits, ArrayRef<uint64_t> bigVal);

/// Equivalent to APInt(numBits, ArrayRef<uint64_t>(bigVal, numWords)), but
/// deprecated because this constructor is prone to ambiguity with the
/// APInt(unsigned, uint64_t, bool) constructor.
///
/// If this overload is ever deleted, care should be taken to prevent calls
/// from being incorrectly captured by the APInt(unsigned, uint64_t, bool)
/// constructor.
APInt(unsigned numBits, unsigned numWords, const uint64_t bigVal[]);

/// Construct an APInt from a string representation.
///
/// This constructor interprets the string \p str in the given radix. The
/// interpretation stops when the first character that is not suitable for the
/// radix is encountered, or the end of the string. Acceptable radix values
/// are 2, 8, 10, 16, and 36. It is an error for the value implied by the
/// string to require more bits than numBits.
///
/// \param numBits the bit width of the constructed APInt
/// \param str the string to be interpreted
/// \param radix the radix to use for the conversion
APInt(unsigned numBits, StringRef str, uint8_t radix);

/// Simply makes *this a copy of that.
/// Copy Constructor.
APInt(const APInt &that) : BitWidth(that.BitWidth) {
  if (isSingleWord())
    U.VAL = that.U.VAL;
  else
    initSlowCase(that);
}

/// Move Constructor.
APInt(APInt &&that) : BitWidth(that.BitWidth) {
  memcpy(&U, &that.U, sizeof(U));
  that.BitWidth = 0;
}

/// Destructor.
~APInt() {
  if (needsCleanup())
    delete[] U.pVal;
}

/// Default constructor that creates an uninteresting APInt
/// representing a 1-bit zero value.
///
/// This is useful for object deserialization (pair this with the static
///  method Read).
explicit APInt() : BitWidth(1) { U.VAL = 0; }

/// Returns whether this instance allocated memory.
bool needsCleanup() const { return !isSingleWord(); }

/// Used to insert APInt objects, or objects that contain APInt objects, into
///  FoldingSets.
void Profile(FoldingSetNodeID &id) const;

/// @}
/// \name Value Tests
/// @{

/// Determine sign of this APInt.
///
/// This tests the high bit of this APInt to determine if it is set.
///
/// \returns true if this APInt is negative, false otherwise
bool isNegative() const { return (*this)[BitWidth - 1]; }

/// Determine if this APInt Value is non-negative (>= 0)
///
/// This tests the high bit of the APInt to determine if it is unset.
bool isNonNegative() const { return !isNegative(); }

/// Determine if sign bit of this APInt is set.
///
/// This tests the high bit of this APInt to determine if it is set.
///
/// \returns true if this APInt has its sign bit set, false otherwise.
bool isSignBitSet() const { return (*this)[BitWidth-1]; }

/// Determine if sign bit of this APInt is clear.
///
/// This tests the high bit of this APInt to determine if it is clear.
///
/// \returns true if this APInt has its sign bit clear, false otherwise.
bool isSignBitClear() const { return !isSignBitSet(); }

/// Determine if this APInt Value is positive.
///
/// This tests if the value of this APInt is positive (> 0). Note
/// that 0 is not a positive value.
///
/// \returns true if this APInt is positive.
bool isStrictlyPositive() const { return isNonNegative() && !isNullValue(); }

/// Determine if all bits are set
///
/// This checks to see if the value has all bits of the APInt are set or not.
bool isAllOnesValue() const {
  if (isSingleWord())
    return U.VAL == WORD_MAX >> (APINT_BITS_PER_WORD - BitWidth);
  return countTrailingOnesSlowCase() == BitWidth;
}

/// Determine if all bits are clear
///
/// This checks to see if the value has all bits of the APInt are clear or
/// not.
bool isNullValue() const { return !*this; }

/// Determine if this is a value of 1.
///
/// This checks to see if the value of this APInt is one.
bool isOneValue() const {
  if (isSingleWord())
    return U.VAL == 1;
  return countLeadingZerosSlowCase() == BitWidth - 1;
}

/// Determine if this is the largest unsigned value.
///
/// This checks to see if the value of this APInt is the maximum unsigned
/// value for the APInt's bit width.
bool isMaxValue() const { return isAllOnesValue(); }

/// Determine if this is the largest signed value.
///
/// This checks to see if the value of this APInt is the maximum signed
/// value for the APInt's bit width.
bool isMaxSignedValue() const {
  if (isSingleWord())
    return U.VAL == ((WordType(1) << (BitWidth - 1)) - 1);
  return !isNegative() && countTrailingOnesSlowCase() == BitWidth - 1;
}

/// Determine if this is the smallest unsigned value.
///
/// This checks to see if the value of this APInt is the minimum unsigned
/// value for the APInt's bit width.
bool isMinValue() const { return isNullValue(); }

/// Determine if this is the smallest signed value.
///
/// This checks to see if the value of this APInt is the minimum signed
/// value for the APInt's bit width.
bool isMinSignedValue() const {
  if (isSingleWord())
    return U.VAL == (WordType(1) << (BitWidth - 1));
  return isNegative() && countTrailingZerosSlowCase() == BitWidth - 1;
}

/// Check if this APInt has an N-bits unsigned integer value.
bool isIntN(unsigned N) const {
  assert(N && "N == 0 ???")(static_cast <bool> (N && "N == 0 ???") ? void (
0) : __assert_fail ("N && \"N == 0 ???\"", "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 450, __extension__ __PRETTY_FUNCTION__));
  return getActiveBits() <= N;
}

/// Check if this APInt has an N-bits signed integer value.
bool isSignedIntN(unsigned N) const {
  assert(N && "N == 0 ???")(static_cast <bool> (N && "N == 0 ???") ? void (
0) : __assert_fail ("N && \"N == 0 ???\"", "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 456, __extension__ __PRETTY_FUNCTION__));
  return getMinSignedBits() <= N;
}

/// Check if this APInt's value is a power of two greater than zero.
///
/// \returns true if the argument APInt value is a power of two > 0.
bool isPowerOf2() const {
  if (isSingleWord())
    return isPowerOf2_64(U.VAL);
  return countPopulationSlowCase() == 1;
}

/// Check if the APInt's value is returned by getSignMask.
///
/// \returns true if this is the value returned by getSignMask.
bool isSignMask() const { return isMinSignedValue(); }

/// Convert APInt to a boolean value.
///
/// This converts the APInt to a boolean value as a test against zero.
bool getBoolValue() const { return !!*this; }

/// If this value is smaller than the specified limit, return it, otherwise
/// return the limit value.  This causes the value to saturate to the limit.
uint64_t getLimitedValue(uint64_t Limit = UINT64_MAX(18446744073709551615UL)) const {
  return ugt(Limit) ? Limit : getZExtValue();
16
←
'?' condition is true→
}

/// Check if the APInt consists of a repeated bit pattern.
///
/// e.g. 0x01010101 satisfies isSplat(8).
/// \param SplatSizeInBits The size of the pattern in bits. Must divide bit
/// width without remainder.
bool isSplat(unsigned SplatSizeInBits) const;

/// \returns true if this APInt value is a sequence of \param numBits ones
/// starting at the least significant bit with the remainder zero.
bool isMask(unsigned numBits) const {
  assert(numBits != 0 && "numBits must be non-zero")(static_cast <bool> (numBits != 0 && "numBits must be non-zero"
) ? void (0) : __assert_fail ("numBits != 0 && \"numBits must be non-zero\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 495, __extension__ __PRETTY_FUNCTION__));
  assert(numBits <= BitWidth && "numBits out of range")(static_cast <bool> (numBits <= BitWidth && "numBits out of range"
) ? void (0) : __assert_fail ("numBits <= BitWidth && \"numBits out of range\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 496, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    return U.VAL == (WORD_MAX >> (APINT_BITS_PER_WORD - numBits));
  unsigned Ones = countTrailingOnesSlowCase();
  return (numBits == Ones) &&
         ((Ones + countLeadingZerosSlowCase()) == BitWidth);
}

/// \returns true if this APInt is a non-empty sequence of ones starting at
/// the least significant bit with the remainder zero.
/// Ex. isMask(0x0000FFFFU) == true.
bool isMask() const {
  if (isSingleWord())
    return isMask_64(U.VAL);
  unsigned Ones = countTrailingOnesSlowCase();
  return (Ones > 0) && ((Ones + countLeadingZerosSlowCase()) == BitWidth);
}

/// Return true if this APInt value contains a sequence of ones with
/// the remainder zero.
bool isShiftedMask() const {
  if (isSingleWord())
    return isShiftedMask_64(U.VAL);
  unsigned Ones = countPopulationSlowCase();
  unsigned LeadZ = countLeadingZerosSlowCase();
  return (Ones + LeadZ + countTrailingZeros()) == BitWidth;
}

/// @}
/// \name Value Generators
/// @{

/// Gets maximum unsigned value of APInt for specific bit width.
static APInt getMaxValue(unsigned numBits) {
  return getAllOnesValue(numBits);
}

/// Gets maximum signed value of APInt for a specific bit width.
static APInt getSignedMaxValue(unsigned numBits) {
  APInt API = getAllOnesValue(numBits);
  API.clearBit(numBits - 1);
  return API;
}

/// Gets minimum unsigned value of APInt for a specific bit width.
static APInt getMinValue(unsigned numBits) { return APInt(numBits, 0); }

/// Gets minimum signed value of APInt for a specific bit width.
static APInt getSignedMinValue(unsigned numBits) {
  APInt API(numBits, 0);
  API.setBit(numBits - 1);
  return API;
}

/// Get the SignMask for a specific bit width.
///
/// This is just a wrapper function of getSignedMinValue(), and it helps code
/// readability when we want to get a SignMask.
static APInt getSignMask(unsigned BitWidth) {
  return getSignedMinValue(BitWidth);
}

/// Get the all-ones value.
///
/// \returns the all-ones value for an APInt of the specified bit-width.
static APInt getAllOnesValue(unsigned numBits) {
  return APInt(numBits, WORD_MAX, true);
}

/// Get the '0' value.
///
/// \returns the '0' value for an APInt of the specified bit-width.
static APInt getNullValue(unsigned numBits) { return APInt(numBits, 0); }

/// Compute an APInt containing numBits highbits from this APInt.
///
/// Get an APInt with the same BitWidth as this APInt, just zero mask
/// the low bits and right shift to the least significant bit.
///
/// \returns the high "numBits" bits of this APInt.
APInt getHiBits(unsigned numBits) const;

/// Compute an APInt containing numBits lowbits from this APInt.
///
/// Get an APInt with the same BitWidth as this APInt, just zero mask
/// the high bits.
///
/// \returns the low "numBits" bits of this APInt.
APInt getLoBits(unsigned numBits) const;

/// Return an APInt with exactly one bit set in the result.
static APInt getOneBitSet(unsigned numBits, unsigned BitNo) {
  APInt Res(numBits, 0);
  Res.setBit(BitNo);
  return Res;
}

/// Get a value with a block of bits set.
///
/// Constructs an APInt value that has a contiguous range of bits set. The
/// bits from loBit (inclusive) to hiBit (exclusive) will be set. All other
/// bits will be zero. For example, with parameters(32, 0, 16) you would get
/// 0x0000FFFF. If hiBit is less than loBit then the set bits "wrap". For
/// example, with parameters (32, 28, 4), you would get 0xF000000F.
///
/// \param numBits the intended bit width of the result
/// \param loBit the index of the lowest bit set.
/// \param hiBit the index of the highest bit set.
///
/// \returns An APInt value with the requested bits set.
static APInt getBitsSet(unsigned numBits, unsigned loBit, unsigned hiBit) {
  APInt Res(numBits, 0);
  Res.setBits(loBit, hiBit);
  return Res;
}

/// Get a value with upper bits starting at loBit set.
///
/// Constructs an APInt value that has a contiguous range of bits set. The
/// bits from loBit (inclusive) to numBits (exclusive) will be set. All other
/// bits will be zero. For example, with parameters(32, 12) you would get
/// 0xFFFFF000.
///
/// \param numBits the intended bit width of the result
/// \param loBit the index of the lowest bit to set.
///
/// \returns An APInt value with the requested bits set.
static APInt getBitsSetFrom(unsigned numBits, unsigned loBit) {
  APInt Res(numBits, 0);
  Res.setBitsFrom(loBit);
  return Res;
}

/// Get a value with high bits set
///
/// Constructs an APInt value that has the top hiBitsSet bits set.
///
/// \param numBits the bitwidth of the result
/// \param hiBitsSet the number of high-order bits set in the result.
static APInt getHighBitsSet(unsigned numBits, unsigned hiBitsSet) {
  APInt Res(numBits, 0);
  Res.setHighBits(hiBitsSet);
  return Res;
}

/// Get a value with low bits set
///
/// Constructs an APInt value that has the bottom loBitsSet bits set.
///
/// \param numBits the bitwidth of the result
/// \param loBitsSet the number of low-order bits set in the result.
static APInt getLowBitsSet(unsigned numBits, unsigned loBitsSet) {
  APInt Res(numBits, 0);
  Res.setLowBits(loBitsSet);
  return Res;
}

/// Return a value containing V broadcasted over NewLen bits.
static APInt getSplat(unsigned NewLen, const APInt &V);

/// Determine if two APInts have the same value, after zero-extending
/// one of them (if needed!) to ensure that the bit-widths match.
static bool isSameValue(const APInt &I1, const APInt &I2) {
  if (I1.getBitWidth() == I2.getBitWidth())
    return I1 == I2;

  if (I1.getBitWidth() > I2.getBitWidth())
    return I1 == I2.zext(I1.getBitWidth());

  return I1.zext(I2.getBitWidth()) == I2;
}

/// Overload to compute a hash_code for an APInt value.
friend hash_code hash_value(const APInt &Arg);

/// This function returns a pointer to the internal storage of the APInt.
/// This is useful for writing out the APInt in binary form without any
/// conversions.
const uint64_t *getRawData() const {
  if (isSingleWord())
    return &U.VAL;
  return &U.pVal[0];
}

/// @}
/// \name Unary Operators
/// @{

/// Postfix increment operator.
///
/// Increments *this by 1.
///
/// \returns a new APInt value representing the original value of *this.
const APInt operator++(int) {
  APInt API(*this);
  ++(*this);
  return API;
}

/// Prefix increment operator.
///
/// \returns *this incremented by one
APInt &operator++();

/// Postfix decrement operator.
///
/// Decrements *this by 1.
///
/// \returns a new APInt value representing the original value of *this.
const APInt operator--(int) {
  APInt API(*this);
  --(*this);
  return API;
}

/// Prefix decrement operator.
///
/// \returns *this decremented by one.
APInt &operator--();

/// Logical negation operator.
///
/// Performs logical negation operation on this APInt.
///
/// \returns true if *this is zero, false otherwise.
bool operator!() const {
  if (isSingleWord())
    return U.VAL == 0;
  return countLeadingZerosSlowCase() == BitWidth;
}

/// @}
/// \name Assignment Operators
/// @{

/// Copy assignment operator.
///
/// \returns *this after assignment of RHS.
APInt &operator=(const APInt &RHS) {
  // If the bitwidths are the same, we can avoid mucking with memory
  if (isSingleWord() && RHS.isSingleWord()) {
    U.VAL = RHS.U.VAL;
    BitWidth = RHS.BitWidth;
    return clearUnusedBits();
  }

  AssignSlowCase(RHS);
  return *this;
}

/// Move assignment operator.
APInt &operator=(APInt &&that) {
748#ifdef _MSC_VER
  // The MSVC std::shuffle implementation still does self-assignment.
  if (this == &that)
    return *this;
752#endif
  assert(this != &that && "Self-move not supported")(static_cast <bool> (this != &that && "Self-move not supported"
) ? void (0) : __assert_fail ("this != &that && \"Self-move not supported\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 753, __extension__ __PRETTY_FUNCTION__));
  if (!isSingleWord())
    delete[] U.pVal;

  // Use memcpy so that type based alias analysis sees both VAL and pVal
  // as modified.
  memcpy(&U, &that.U, sizeof(U));

  BitWidth = that.BitWidth;
  that.BitWidth = 0;

  return *this;
}

/// Assignment operator.
///
/// The RHS value is assigned to *this. If the significant bits in RHS exceed
/// the bit width, the excess bits are truncated. If the bit width is larger
/// than 64, the value is zero filled in the unspecified high order bits.
///
/// \returns *this after assignment of RHS value.
APInt &operator=(uint64_t RHS) {
  if (isSingleWord()) {
    U.VAL = RHS;
    clearUnusedBits();
  } else {
    U.pVal[0] = RHS;
    memset(U.pVal+1, 0, (getNumWords() - 1) * APINT_WORD_SIZE);
  }
  return *this;
}

/// Bitwise AND assignment operator.
///
/// Performs a bitwise AND operation on this APInt and RHS. The result is
/// assigned to *this.
///
/// \returns *this after ANDing with RHS.
APInt &operator&=(const APInt &RHS) {
  assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")(static_cast <bool> (BitWidth == RHS.BitWidth &&
 "Bit widths must be the same") ? void (0) : __assert_fail ("BitWidth == RHS.BitWidth && \"Bit widths must be the same\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 792, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    U.VAL &= RHS.U.VAL;
  else
    AndAssignSlowCase(RHS);
  return *this;
}

/// Bitwise AND assignment operator.
///
/// Performs a bitwise AND operation on this APInt and RHS. RHS is
/// logically zero-extended or truncated to match the bit-width of
/// the LHS.
APInt &operator&=(uint64_t RHS) {
  if (isSingleWord()) {
    U.VAL &= RHS;
    return *this;
  }
  U.pVal[0] &= RHS;
  memset(U.pVal+1, 0, (getNumWords() - 1) * APINT_WORD_SIZE);
  return *this;
}

/// Bitwise OR assignment operator.
///
/// Performs a bitwise OR operation on this APInt and RHS. The result is
/// assigned *this;
///
/// \returns *this after ORing with RHS.
APInt &operator|=(const APInt &RHS) {
  assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")(static_cast <bool> (BitWidth == RHS.BitWidth &&
 "Bit widths must be the same") ? void (0) : __assert_fail ("BitWidth == RHS.BitWidth && \"Bit widths must be the same\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 822, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    U.VAL |= RHS.U.VAL;
  else
    OrAssignSlowCase(RHS);
  return *this;
}

/// Bitwise OR assignment operator.
///
/// Performs a bitwise OR operation on this APInt and RHS. RHS is
/// logically zero-extended or truncated to match the bit-width of
/// the LHS.
APInt &operator|=(uint64_t RHS) {
  if (isSingleWord()) {
    U.VAL |= RHS;
    clearUnusedBits();
  } else {
    U.pVal[0] |= RHS;
  }
  return *this;
}

/// Bitwise XOR assignment operator.
///
/// Performs a bitwise XOR operation on this APInt and RHS. The result is
/// assigned to *this.
///
/// \returns *this after XORing with RHS.
APInt &operator^=(const APInt &RHS) {
  assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")(static_cast <bool> (BitWidth == RHS.BitWidth &&
 "Bit widths must be the same") ? void (0) : __assert_fail ("BitWidth == RHS.BitWidth && \"Bit widths must be the same\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 852, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    U.VAL ^= RHS.U.VAL;
  else
    XorAssignSlowCase(RHS);
  return *this;
}

/// Bitwise XOR assignment operator.
///
/// Performs a bitwise XOR operation on this APInt and RHS. RHS is
/// logically zero-extended or truncated to match the bit-width of
/// the LHS.
APInt &operator^=(uint64_t RHS) {
  if (isSingleWord()) {
    U.VAL ^= RHS;
    clearUnusedBits();
  } else {
    U.pVal[0] ^= RHS;
  }
  return *this;
}

/// Multiplication assignment operator.
///
/// Multiplies this APInt by RHS and assigns the result to *this.
///
/// \returns *this
APInt &operator*=(const APInt &RHS);
APInt &operator*=(uint64_t RHS);

/// Addition assignment operator.
///
/// Adds RHS to *this and assigns the result to *this.
///
/// \returns *this
APInt &operator+=(const APInt &RHS);
APInt &operator+=(uint64_t RHS);

/// Subtraction assignment operator.
///
/// Subtracts RHS from *this and assigns the result to *this.
///
/// \returns *this
APInt &operator-=(const APInt &RHS);
APInt &operator-=(uint64_t RHS);

/// Left-shift assignment function.
///
/// Shifts *this left by shiftAmt and assigns the result to *this.
///
/// \returns *this after shifting left by ShiftAmt
APInt &operator<<=(unsigned ShiftAmt) {
  assert(ShiftAmt <= BitWidth && "Invalid shift amount")(static_cast <bool> (ShiftAmt <= BitWidth &&
 "Invalid shift amount") ? void (0) : __assert_fail ("ShiftAmt <= BitWidth && \"Invalid shift amount\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 905, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord()) {
20
←
Taking true branch→
    if (ShiftAmt == BitWidth)
21
←
Taking false branch→
      U.VAL = 0;
    else
      U.VAL <<= ShiftAmt;
22
←
Assigned value is garbage or undefined
    return clearUnusedBits();
  }
  shlSlowCase(ShiftAmt);
  return *this;
}

/// Left-shift assignment function.
///
/// Shifts *this left by shiftAmt and assigns the result to *this.
///
/// \returns *this after shifting left by ShiftAmt
APInt &operator<<=(const APInt &ShiftAmt);

/// @}
/// \name Binary Operators
/// @{

/// Multiplication operator.
///
/// Multiplies this APInt by RHS and returns the result.
APInt operator*(const APInt &RHS) const;

/// Left logical shift operator.
///
/// Shifts this APInt left by \p Bits and returns the result.
APInt operator<<(unsigned Bits) const { return shl(Bits); }

/// Left logical shift operator.
///
/// Shifts this APInt left by \p Bits and returns the result.
APInt operator<<(const APInt &Bits) const { return shl(Bits); }

/// Arithmetic right-shift function.
///
/// Arithmetic right-shift this APInt by shiftAmt.
APInt ashr(unsigned ShiftAmt) const {
  APInt R(*this);
  R.ashrInPlace(ShiftAmt);
  return R;
}

/// Arithmetic right-shift this APInt by ShiftAmt in place.
void ashrInPlace(unsigned ShiftAmt) {
  assert(ShiftAmt <= BitWidth && "Invalid shift amount")(static_cast <bool> (ShiftAmt <= BitWidth &&
 "Invalid shift amount") ? void (0) : __assert_fail ("ShiftAmt <= BitWidth && \"Invalid shift amount\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 954, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord()) {
    int64_t SExtVAL = SignExtend64(U.VAL, BitWidth);
    if (ShiftAmt == BitWidth)
      U.VAL = SExtVAL >> (APINT_BITS_PER_WORD - 1); // Fill with sign bit.
    else
      U.VAL = SExtVAL >> ShiftAmt;
    clearUnusedBits();
    return;
  }
  ashrSlowCase(ShiftAmt);
}

/// Logical right-shift function.
///
/// Logical right-shift this APInt by shiftAmt.
APInt lshr(unsigned shiftAmt) const {
  APInt R(*this);
  R.lshrInPlace(shiftAmt);
  return R;
}

/// Logical right-shift this APInt by ShiftAmt in place.
void lshrInPlace(unsigned ShiftAmt) {
  assert(ShiftAmt <= BitWidth && "Invalid shift amount")(static_cast <bool> (ShiftAmt <= BitWidth &&
 "Invalid shift amount") ? void (0) : __assert_fail ("ShiftAmt <= BitWidth && \"Invalid shift amount\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 978, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord()) {
    if (ShiftAmt == BitWidth)
      U.VAL = 0;
    else
      U.VAL >>= ShiftAmt;
    return;
  }
  lshrSlowCase(ShiftAmt);
}

/// Left-shift function.
///
/// Left-shift this APInt by shiftAmt.
APInt shl(unsigned shiftAmt) const {
  APInt R(*this);
  R <<= shiftAmt;
  return R;
}

/// Rotate left by rotateAmt.
APInt rotl(unsigned rotateAmt) const;

/// Rotate right by rotateAmt.
APInt rotr(unsigned rotateAmt) const;

/// Arithmetic right-shift function.
///
/// Arithmetic right-shift this APInt by shiftAmt.
APInt ashr(const APInt &ShiftAmt) const {
  APInt R(*this);
  R.ashrInPlace(ShiftAmt);
  return R;
}

/// Arithmetic right-shift this APInt by shiftAmt in place.
void ashrInPlace(const APInt &shiftAmt);

/// Logical right-shift function.
///
/// Logical right-shift this APInt by shiftAmt.
APInt lshr(const APInt &ShiftAmt) const {
  APInt R(*this);
  R.lshrInPlace(ShiftAmt);
  return R;
}

/// Logical right-shift this APInt by ShiftAmt in place.
void lshrInPlace(const APInt &ShiftAmt);

/// Left-shift function.
///
/// Left-shift this APInt by shiftAmt.
APInt shl(const APInt &ShiftAmt) const {
  APInt R(*this);
  R <<= ShiftAmt;
  return R;
}

/// Rotate left by rotateAmt.
APInt rotl(const APInt &rotateAmt) const;

/// Rotate right by rotateAmt.
APInt rotr(const APInt &rotateAmt) const;

/// Unsigned division operation.
///
/// Perform an unsigned divide operation on this APInt by RHS. Both this and
/// RHS are treated as unsigned quantities for purposes of this division.
///
/// \returns a new APInt value containing the division result, rounded towards
/// zero.
APInt udiv(const APInt &RHS) const;
APInt udiv(uint64_t RHS) const;

/// Signed division function for APInt.
///
/// Signed divide this APInt by APInt RHS.
///
/// The result is rounded towards zero.
APInt sdiv(const APInt &RHS) const;
APInt sdiv(int64_t RHS) const;

/// Unsigned remainder operation.
///
/// Perform an unsigned remainder operation on this APInt with RHS being the
/// divisor. Both this and RHS are treated as unsigned quantities for purposes
/// of this operation. Note that this is a true remainder operation and not a
/// modulo operation because the sign follows the sign of the dividend which
/// is *this.
///
/// \returns a new APInt value containing the remainder result
APInt urem(const APInt &RHS) const;
uint64_t urem(uint64_t RHS) const;

/// Function for signed remainder operation.
///
/// Signed remainder operation on APInt.
APInt srem(const APInt &RHS) const;
int64_t srem(int64_t RHS) const;

/// Dual division/remainder interface.
///
/// Sometimes it is convenient to divide two APInt values and obtain both the
/// quotient and remainder. This function does both operations in the same
/// computation making it a little more efficient. The pair of input arguments
/// may overlap with the pair of output arguments. It is safe to call
/// udivrem(X, Y, X, Y), for example.
static void udivrem(const APInt &LHS, const APInt &RHS, APInt &Quotient,
                    APInt &Remainder);
static void udivrem(const APInt &LHS, uint64_t RHS, APInt &Quotient,
                    uint64_t &Remainder);

static void sdivrem(const APInt &LHS, const APInt &RHS, APInt &Quotient,
                    APInt &Remainder);
static void sdivrem(const APInt &LHS, int64_t RHS, APInt &Quotient,
                    int64_t &Remainder);

// Operations that return overflow indicators.
APInt sadd_ov(const APInt &RHS, bool &Overflow) const;
APInt uadd_ov(const APInt &RHS, bool &Overflow) const;
APInt ssub_ov(const APInt &RHS, bool &Overflow) const;
APInt usub_ov(const APInt &RHS, bool &Overflow) const;
APInt sdiv_ov(const APInt &RHS, bool &Overflow) const;
APInt smul_ov(const APInt &RHS, bool &Overflow) const;
APInt umul_ov(const APInt &RHS, bool &Overflow) const;
APInt sshl_ov(const APInt &Amt, bool &Overflow) const;
APInt ushl_ov(const APInt &Amt, bool &Overflow) const;

/// Array-indexing support.
///
/// \returns the bit value at bitPosition
bool operator[](unsigned bitPosition) const {
  assert(bitPosition < getBitWidth() && "Bit position out of bounds!")(static_cast <bool> (bitPosition < getBitWidth() &&
 "Bit position out of bounds!") ? void (0) : __assert_fail ("bitPosition < getBitWidth() && \"Bit position out of bounds!\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1111, __extension__ __PRETTY_FUNCTION__));
  return (maskBit(bitPosition) & getWord(bitPosition)) != 0;
}

/// @}
/// \name Comparison Operators
/// @{

/// Equality operator.
///
/// Compares this APInt with RHS for the validity of the equality
/// relationship.
bool operator==(const APInt &RHS) const {
  assert(BitWidth == RHS.BitWidth && "Comparison requires equal bit widths")(static_cast <bool> (BitWidth == RHS.BitWidth &&
 "Comparison requires equal bit widths") ? void (0) : __assert_fail
 ("BitWidth == RHS.BitWidth && \"Comparison requires equal bit widths\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1124, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    return U.VAL == RHS.U.VAL;
  return EqualSlowCase(RHS);
}

/// Equality operator.
///
/// Compares this APInt with a uint64_t for the validity of the equality
/// relationship.
///
/// \returns true if *this == Val
bool operator==(uint64_t Val) const {
  return (isSingleWord() || getActiveBits() <= 64) && getZExtValue() == Val;
}

/// Equality comparison.
///
/// Compares this APInt with RHS for the validity of the equality
/// relationship.
///
/// \returns true if *this == Val
bool eq(const APInt &RHS) const { return (*this) == RHS; }

/// Inequality operator.
///
/// Compares this APInt with RHS for the validity of the inequality
/// relationship.
///
/// \returns true if *this != Val
bool operator!=(const APInt &RHS) const { return !((*this) == RHS); }

/// Inequality operator.
///
/// Compares this APInt with a uint64_t for the validity of the inequality
/// relationship.
///
/// \returns true if *this != Val
bool operator!=(uint64_t Val) const { return !((*this) == Val); }

/// Inequality comparison
///
/// Compares this APInt with RHS for the validity of the inequality
/// relationship.
///
/// \returns true if *this != Val
bool ne(const APInt &RHS) const { return !((*this) == RHS); }

/// Unsigned less than comparison
///
/// Regards both *this and RHS as unsigned quantities and compares them for
/// the validity of the less-than relationship.
///
/// \returns true if *this < RHS when both are considered unsigned.
bool ult(const APInt &RHS) const { return compare(RHS) < 0; }

/// Unsigned less than comparison
///
/// Regards both *this as an unsigned quantity and compares it with RHS for
/// the validity of the less-than relationship.
///
/// \returns true if *this < RHS when considered unsigned.
bool ult(uint64_t RHS) const {
  // Only need to check active bits if not a single word.
  return (isSingleWord() || getActiveBits() <= 64) && getZExtValue() < RHS;
}

/// Signed less than comparison
///
/// Regards both *this and RHS as signed quantities and compares them for
/// validity of the less-than relationship.
///
/// \returns true if *this < RHS when both are considered signed.
bool slt(const APInt &RHS) const { return compareSigned(RHS) < 0; }

/// Signed less than comparison
///
/// Regards both *this as a signed quantity and compares it with RHS for
/// the validity of the less-than relationship.
///
/// \returns true if *this < RHS when considered signed.
bool slt(int64_t RHS) const {
  return (!isSingleWord() && getMinSignedBits() > 64) ? isNegative()
                                                      : getSExtValue() < RHS;
}

/// Unsigned less or equal comparison
///
/// Regards both *this and RHS as unsigned quantities and compares them for
/// validity of the less-or-equal relationship.
///
/// \returns true if *this <= RHS when both are considered unsigned.
bool ule(const APInt &RHS) const { return compare(RHS) <= 0; }

/// Unsigned less or equal comparison
///
/// Regards both *this as an unsigned quantity and compares it with RHS for
/// the validity of the less-or-equal relationship.
///
/// \returns true if *this <= RHS when considered unsigned.
bool ule(uint64_t RHS) const { return !ugt(RHS); }

/// Signed less or equal comparison
///
/// Regards both *this and RHS as signed quantities and compares them for
/// validity of the less-or-equal relationship.
///
/// \returns true if *this <= RHS when both are considered signed.
bool sle(const APInt &RHS) const { return compareSigned(RHS) <= 0; }

/// Signed less or equal comparison
///
/// Regards both *this as a signed quantity and compares it with RHS for the
/// validity of the less-or-equal relationship.
///
/// \returns true if *this <= RHS when considered signed.
bool sle(uint64_t RHS) const { return !sgt(RHS); }

/// Unsigned greather than comparison
///
/// Regards both *this and RHS as unsigned quantities and compares them for
/// the validity of the greater-than relationship.
///
/// \returns true if *this > RHS when both are considered unsigned.
bool ugt(const APInt &RHS) const { return !ule(RHS); }

/// Unsigned greater than comparison
///
/// Regards both *this as an unsigned quantity and compares it with RHS for
/// the validity of the greater-than relationship.
///
/// \returns true if *this > RHS when considered unsigned.
bool ugt(uint64_t RHS) const {
  // Only need to check active bits if not a single word.
  return (!isSingleWord() && getActiveBits() > 64) || getZExtValue() > RHS;
}

/// Signed greather than comparison
///
/// Regards both *this and RHS as signed quantities and compares them for the
/// validity of the greater-than relationship.
///
/// \returns true if *this > RHS when both are considered signed.
bool sgt(const APInt &RHS) const { return !sle(RHS); }

/// Signed greater than comparison
///
/// Regards both *this as a signed quantity and compares it with RHS for
/// the validity of the greater-than relationship.
///
/// \returns true if *this > RHS when considered signed.
bool sgt(int64_t RHS) const {
  return (!isSingleWord() && getMinSignedBits() > 64) ? !isNegative()
                                                      : getSExtValue() > RHS;
}

/// Unsigned greater or equal comparison
///
/// Regards both *this and RHS as unsigned quantities and compares them for
/// validity of the greater-or-equal relationship.
///
/// \returns true if *this >= RHS when both are considered unsigned.
bool uge(const APInt &RHS) const { return !ult(RHS); }

/// Unsigned greater or equal comparison
///
/// Regards both *this as an unsigned quantity and compares it with RHS for
/// the validity of the greater-or-equal relationship.
///
/// \returns true if *this >= RHS when considered unsigned.
bool uge(uint64_t RHS) const { return !ult(RHS); }

/// Signed greater or equal comparison
///
/// Regards both *this and RHS as signed quantities and compares them for
/// validity of the greater-or-equal relationship.
///
/// \returns true if *this >= RHS when both are considered signed.
bool sge(const APInt &RHS) const { return !slt(RHS); }

/// Signed greater or equal comparison
///
/// Regards both *this as a signed quantity and compares it with RHS for
/// the validity of the greater-or-equal relationship.
///
/// \returns true if *this >= RHS when considered signed.
bool sge(int64_t RHS) const { return !slt(RHS); }

/// This operation tests if there are any pairs of corresponding bits
/// between this APInt and RHS that are both set.
bool intersects(const APInt &RHS) const {
  assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")(static_cast <bool> (BitWidth == RHS.BitWidth &&
 "Bit widths must be the same") ? void (0) : __assert_fail ("BitWidth == RHS.BitWidth && \"Bit widths must be the same\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1315, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    return (U.VAL & RHS.U.VAL) != 0;
  return intersectsSlowCase(RHS);
}

/// This operation checks that all bits set in this APInt are also set in RHS.
bool isSubsetOf(const APInt &RHS) const {
  assert(BitWidth == RHS.BitWidth && "Bit widths must be the same")(static_cast <bool> (BitWidth == RHS.BitWidth &&
 "Bit widths must be the same") ? void (0) : __assert_fail ("BitWidth == RHS.BitWidth && \"Bit widths must be the same\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1323, __extension__ __PRETTY_FUNCTION__));
  if (isSingleWord())
    return (U.VAL & ~RHS.U.VAL) == 0;
  return isSubsetOfSlowCase(RHS);
}

/// @}
/// \name Resizing Operators
/// @{

/// Truncate to new width.
///
/// Truncate the APInt to a specified width. It is an error to specify a width
/// that is greater than or equal to the current width.
APInt trunc(unsigned width) const;

/// Sign extend to a new width.
///
/// This operation sign extends the APInt to a new width. If the high order
/// bit is set, the fill on the left will be done with 1 bits, otherwise zero.
/// It is an error to specify a width that is less than or equal to the
/// current width.
APInt sext(unsigned width) const;

/// Zero extend to a new width.
///
/// This operation zero extends the APInt to a new width. The high order bits
/// are filled with 0 bits.  It is an error to specify a width that is less
/// than or equal to the current width.
APInt zext(unsigned width) const;

/// Sign extend or truncate to width
///
/// Make this APInt have the bit width given by \p width. The value is sign
/// extended, truncated, or left alone to make it that width.
APInt sextOrTrunc(unsigned width) const;

/// Zero extend or truncate to width
///
/// Make this APInt have the bit width given by \p width. The value is zero
/// extended, truncated, or left alone to make it that width.
APInt zextOrTrunc(unsigned width) const;

/// Sign extend or truncate to width
///
/// Make this APInt have the bit width given by \p width. The value is sign
/// extended, or left alone to make it that width.
APInt sextOrSelf(unsigned width) const;

/// Zero extend or truncate to width
///
/// Make this APInt have the bit width given by \p width. The value is zero
/// extended, or left alone to make it that width.
APInt zextOrSelf(unsigned width) const;

/// @}
/// \name Bit Manipulation Operators
/// @{

/// Set every bit to 1.
void setAllBits() {
  if (isSingleWord())
    U.VAL = WORD_MAX;
  else
    // Set all the bits in all the words.
    memset(U.pVal, -1, getNumWords() * APINT_WORD_SIZE);
  // Clear the unused ones
  clearUnusedBits();
}

/// Set a given bit to 1.
///
/// Set the given bit to 1 whose position is given as "bitPosition".
void setBit(unsigned BitPosition) {
  assert(BitPosition <= BitWidth && "BitPosition out of range")(static_cast <bool> (BitPosition <= BitWidth &&
 "BitPosition out of range") ? void (0) : __assert_fail ("BitPosition <= BitWidth && \"BitPosition out of range\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1397, __extension__ __PRETTY_FUNCTION__));
  WordType Mask = maskBit(BitPosition);
  if (isSingleWord())
    U.VAL |= Mask;
  else
    U.pVal[whichWord(BitPosition)] |= Mask;
}

/// Set the sign bit to 1.
void setSignBit() {
  setBit(BitWidth - 1);
}

/// Set the bits from loBit (inclusive) to hiBit (exclusive) to 1.
void setBits(unsigned loBit, unsigned hiBit) {
  assert(hiBit <= BitWidth && "hiBit out of range")(static_cast <bool> (hiBit <= BitWidth && "hiBit out of range"
) ? void (0) : __assert_fail ("hiBit <= BitWidth && \"hiBit out of range\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1412, __extension__ __PRETTY_FUNCTION__));
  assert(loBit <= BitWidth && "loBit out of range")(static_cast <bool> (loBit <= BitWidth && "loBit out of range"
) ? void (0) : __assert_fail ("loBit <= BitWidth && \"loBit out of range\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1413, __extension__ __PRETTY_FUNCTION__));
  assert(loBit <= hiBit && "loBit greater than hiBit")(static_cast <bool> (loBit <= hiBit && "loBit greater than hiBit"
) ? void (0) : __assert_fail ("loBit <= hiBit && \"loBit greater than hiBit\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1414, __extension__ __PRETTY_FUNCTION__));
  if (loBit == hiBit)
    return;
  if (loBit < APINT_BITS_PER_WORD && hiBit <= APINT_BITS_PER_WORD) {
    uint64_t mask = WORD_MAX >> (APINT_BITS_PER_WORD - (hiBit - loBit));
    mask <<= loBit;
    if (isSingleWord())
      U.VAL |= mask;
    else
      U.pVal[0] |= mask;
  } else {
    setBitsSlowCase(loBit, hiBit);
  }
}

/// Set the top bits starting from loBit.
void setBitsFrom(unsigned loBit) {
  return setBits(loBit, BitWidth);
}

/// Set the bottom loBits bits.
void setLowBits(unsigned loBits) {
  return setBits(0, loBits);
}

/// Set the top hiBits bits.
void setHighBits(unsigned hiBits) {
  return setBits(BitWidth - hiBits, BitWidth);
}

/// Set every bit to 0.
void clearAllBits() {
  if (isSingleWord())
    U.VAL = 0;
  else
    memset(U.pVal, 0, getNumWords() * APINT_WORD_SIZE);
}

/// Set a given bit to 0.
///
/// Set the given bit to 0 whose position is given as "bitPosition".
void clearBit(unsigned BitPosition) {
  assert(BitPosition <= BitWidth && "BitPosition out of range")(static_cast <bool> (BitPosition <= BitWidth &&
 "BitPosition out of range") ? void (0) : __assert_fail ("BitPosition <= BitWidth && \"BitPosition out of range\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1456, __extension__ __PRETTY_FUNCTION__));
  WordType Mask = ~maskBit(BitPosition);
  if (isSingleWord())
    U.VAL &= Mask;
  else
    U.pVal[whichWord(BitPosition)] &= Mask;
}

/// Set the sign bit to 0.
void clearSignBit() {
  clearBit(BitWidth - 1);
}

/// Toggle every bit to its opposite value.
void flipAllBits() {
  if (isSingleWord()) {
    U.VAL ^= WORD_MAX;
    clearUnusedBits();
  } else {
    flipAllBitsSlowCase();
  }
}

/// Toggles a given bit to its opposite value.
///
/// Toggle a given bit to its opposite value whose position is given
/// as "bitPosition".
void flipBit(unsigned bitPosition);

/// Negate this APInt in place.
void negate() {
  flipAllBits();
  ++(*this);
}

/// Insert the bits from a smaller APInt starting at bitPosition.
void insertBits(const APInt &SubBits, unsigned bitPosition);

/// Return an APInt with the extracted bits [bitPosition,bitPosition+numBits).
APInt extractBits(unsigned numBits, unsigned bitPosition) const;

/// @}
/// \name Value Characterization Functions
/// @{

/// Return the number of bits in the APInt.
unsigned getBitWidth() const { return BitWidth; }

/// Get the number of words.
///
/// Here one word's bitwidth equals to that of uint64_t.
///
/// \returns the number of words to hold the integer value of this APInt.
unsigned getNumWords() const { return getNumWords(BitWidth); }

/// Get the number of words.
///
/// *NOTE* Here one word's bitwidth equals to that of uint64_t.
///
/// \returns the number of words to hold the integer value with a given bit
/// width.
static unsigned getNumWords(unsigned BitWidth) {
  return ((uint64_t)BitWidth + APINT_BITS_PER_WORD - 1) / APINT_BITS_PER_WORD;
}

/// Compute the number of active bits in the value
///
/// This function returns the number of active bits which is defined as the
/// bit width minus the number of leading zeros. This is used in several
/// computations to see how "wide" the value is.
unsigned getActiveBits() const { return BitWidth - countLeadingZeros(); }

/// Compute the number of active words in the value of this APInt.
///
/// This is used in conjunction with getActiveData to extract the raw value of
/// the APInt.
unsigned getActiveWords() const {
  unsigned numActiveBits = getActiveBits();
  return numActiveBits ? whichWord(numActiveBits - 1) + 1 : 1;
}

/// Get the minimum bit size for this signed APInt
///
/// Computes the minimum bit width for this APInt while considering it to be a
/// signed (and probably negative) value. If the value is not negative, this
/// function returns the same value as getActiveBits()+1. Otherwise, it
/// returns the smallest bit width that will retain the negative value. For
/// example, -1 can be written as 0b1 or 0xFFFFFFFFFF. 0b1 is shorter and so
/// for -1, this function will always return 1.
unsigned getMinSignedBits() const {
  if (isNegative())
    return BitWidth - countLeadingOnes() + 1;
  return getActiveBits() + 1;
}

/// Get zero extended value
///
/// This method attempts to return the value of this APInt as a zero extended
/// uint64_t. The bitwidth must be <= 64 or the value must fit within a
/// uint64_t. Otherwise an assertion will result.
uint64_t getZExtValue() const {
  if (isSingleWord())
    return U.VAL;
  assert(getActiveBits() <= 64 && "Too many bits for uint64_t")(static_cast <bool> (getActiveBits() <= 64 &&
 "Too many bits for uint64_t") ? void (0) : __assert_fail ("getActiveBits() <= 64 && \"Too many bits for uint64_t\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1559, __extension__ __PRETTY_FUNCTION__));
  return U.pVal[0];
}

/// Get sign extended value
///
/// This method attempts to return the value of this APInt as a sign extended
/// int64_t. The bit width must be <= 64 or the value must fit within an
/// int64_t. Otherwise an assertion will result.
int64_t getSExtValue() const {
  if (isSingleWord())
    return SignExtend64(U.VAL, BitWidth);
  assert(getMinSignedBits() <= 64 && "Too many bits for int64_t")(static_cast <bool> (getMinSignedBits() <= 64 &&
 "Too many bits for int64_t") ? void (0) : __assert_fail ("getMinSignedBits() <= 64 && \"Too many bits for int64_t\""
, "/build/llvm-toolchain-snapshot-7~svn337204/include/llvm/ADT/APInt.h"
, 1571, __extension__ __PRETTY_FUNCTION__));
  return int64_t(U.pVal[0]);
}

/// Get bits required for string value.
///
/// This method determines how many bits are required to hold the APInt
/// equivalent of the string given by \p str.
static unsigned getBitsNeeded(StringRef str, uint8_t radix);

/// The APInt version of the countLeadingZeros functions in
///   MathExtras.h.
///
/// It counts the number of zeros from the most significant bit to the first
/// one bit.
///
/// \returns BitWidth if the value is zero, otherwise returns the number of
///   zeros from the most significant bit to the first one bits.
unsigned countLeadingZeros() const {
  if (isSingleWord()) {
    unsigned unusedBits = APINT_BITS_PER_WORD - BitWidth;
    return llvm::countLeadingZeros(U.VAL) - unusedBits;
  }
  return countLeadingZerosSlowCase();
}

/// Count the number of leading one bits.
///
/// This function is an APInt version of the countLeadingOnes
/// functions in MathExtras.h. It counts the number of ones from the most
/// significant bit to the first zero bit.
///
/// \returns 0 if the high order bit is not set, otherwise returns the number
/// of 1 bits from the most significant to the least
unsigned countLeadingOnes() const {
  if (isSingleWord())
    return llvm::countLeadingOnes(U.VAL << (APINT_BITS_PER_WORD - BitWidth));
  return countLeadingOnesSlowCase();
}

/// Computes the number of leading bits of this APInt that are equal to its
/// sign bit.
unsigned getNumSignBits() const {
  return isNegative() ? countLeadingOnes() : countLeadingZeros();
}

/// Count the number of trailing zero bits.
///
/// This function is an APInt version of the countTrailingZeros
/// functions in MathExtras.h. It counts the number of zeros from the least
/// significant bit to the first set bit.
///
/// \returns BitWidth if the value is zero, otherwise returns the number of
/// zeros from the least significant bit to the first one bit.
unsigned countTrailingZeros() const {
  if (isSingleWord())
    return std::min(unsigned(llvm::countTrailingZeros(U.VAL)), BitWidth);
  return countTrailingZerosSlowCase();
}

/// Count the number of trailing one bits.
///
/// This function is an APInt version of the countTrailingOnes
/// functions in MathExtras.h. It counts the number of ones from the least
/// significant bit to the first zero bit.
///
/// \returns BitWidth if the value is all ones, otherwise returns the number
/// of ones from the least significant bit to the first zero bit.
unsigned countTrailingOnes() const {
  if (isSingleWord())
    return llvm::countTrailingOnes(U.VAL);
  return countTrailingOnesSlowCase();
}

/// Count the number of bits set.
///
/// This function is an APInt version of the countPopulation functions
/// in MathExtras.h. It counts the number of 1 bits in the APInt value.
///
/// \returns 0 if the value is zero, otherwise returns the number of set bits.
unsigned countPopulation() const {
  if (isSingleWord())
    return llvm::countPopulation(U.VAL);
  return countPopulationSlowCase();
}

/// @}
/// \name Conversion Functions
/// @{
void print(raw_ostream &OS, bool isSigned) const;

/// Converts an APInt to a string and append it to Str.  Str is commonly a
/// SmallString.
void toString(SmallVectorImpl<char> &Str, unsigned Radix, bool Signed,
              bool formatAsCLiteral = false) const;

/// Considers the APInt to be unsigned and converts it into a string in the
/// radix given. The radix can be 2, 8, 10 16, or 36.
void toStringUnsigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
  toString(Str, Radix, false, false);
}

/// Considers the APInt to be signed and converts it into a string in the
/// radix given. The radix can be 2, 8, 10, 16, or 36.
void toStringSigned(SmallVectorImpl<char> &Str, unsigned Radix = 10) const {
  toString(Str, Radix, true, false);
}

/// Return the APInt as a std::string.
///
/// Note that this is an inefficient method.  It is better to pass in a
/// SmallVector/SmallString to the methods above to avoid thrashing the heap
/// for the string.
std::string toString(unsigned Radix, bool Signed) const;

/// \returns a byte-swapped representation of this APInt Value.
APInt byteSwap() const;

/// \returns the value with the bit representation reversed of this APInt
/// Value.
APInt reverseBits() const;

/// Converts this APInt to a double value.
double roundToDouble(bool isSigned) const;

/// Converts this unsigned APInt to a double value.
double roundToDouble() const { return roundToDouble(false); }

/// Converts this signed APInt to a double value.
double signedRoundToDouble() const { return roundToDouble(true); }

/// Converts APInt bits to a double
///
/// The conversion does not do a translation from integer to double, it just
/// re-interprets the bits as a double. Note that it is valid to do this on
/// any bit width. Exactly 64 bits will be translated.
double bitsToDouble() const {
  return BitsToDouble(getWord(0));
}

/// Converts APInt bits to a double
///
/// The conversion does not do a translation from integer to float, it just
/// re-interprets the bits as a float. Note that it is valid to do this on
/// any bit width. Exactly 32 bits will be translated.
float bitsToFloat() const {
  return BitsToFloat(getWord(0));
}

/// Converts a double to APInt bits.
///
/// The conversion does not do a translation from double to integer, it just
/// re-interprets the bits of the double.
static APInt doubleToBits(double V) {
  return APInt(sizeof(double) * CHAR_BIT8, DoubleToBits(V));
}

/// Converts a float to APInt bits.
///
/// The conversion does not do a translation from float to integer, it just
/// re-interprets the bits of the float.
static APInt floatToBits(float V) {
  return APInt(sizeof(float) * CHAR_BIT8, FloatToBits(V));
}

/// @}
/// \name Mathematics Operations
/// @{

/// \returns the floor log base 2 of this APInt.
unsigned logBase2() const { return getActiveBits() -  1; }

/// \returns the ceil log base 2 of this APInt.
unsigned ceilLogBase2() const {
  APInt temp(*this);
  --temp;
  return temp.getActiveBits();
}

/// \returns the nearest log base 2 of this APInt. Ties round up.
///
/// NOTE: When we have a BitWidth of 1, we define:
///
///   log2(0) = UINT32_MAX
///   log2(1) = 0
///
/// to get around any mathematical concerns resulting from
/// referencing 2 in a space where 2 does no exist.
unsigned nearestLogBase2() const {
  // Special case when we have a bitwidth of 1. If VAL is 1, then we
  // get 0. If VAL is 0, we get WORD_MAX which gets truncated to
  // UINT32_MAX.
  if (BitWidth == 1)
    return U.VAL - 1;

  // Handle the zero case.
  if (isNullValue())
    return UINT32_MAX(4294967295U);

  // The non-zero case is handled by computing:
  //
  //   nearestLogBase2(x) = logBase2(x) + x[logBase2(x)-1].
  //
  // where x[i] is referring to the value of the ith bit of x.
  unsigned lg = logBase2();
  return lg + unsigned((*this)[lg - 1]);
}

/// \returns the log base 2 of this APInt if its an exact power of two, -1
/// otherwise
int32_t exactLogBase2() const {
  if (!isPowerOf2())
    return -1;
  return logBase2();
}

/// Compute the square root
APInt sqrt() const;

/// Get the absolute value;
///
/// If *this is < 0 then return -(*this), otherwise *this;
APInt abs() const {
  if (isNegative())
    return -(*this);
  return *this;
}

/// \returns the multiplicative inverse for a given modulo.
APInt multiplicativeInverse(const APInt &modulo) const;

/// @}
/// \name Support for division by constant
/// @{

/// Calculate the magic number for signed division by a constant.
struct ms;
ms magic() const;

/// Calculate the magic number for unsigned division by a constant.
struct mu;
mu magicu(unsigned LeadingZeros = 0) const;

/// @}
/// \name Building-block Operations for APInt and APFloat
/// @{

// These building block operations operate on a representation of arbitrary
// precision, two's-complement, bignum integer values. They should be
// sufficient to implement APInt and APFloat bignum requirements. Inputs are
// generally a pointer to the base of an array of integer parts, representing
// an unsigned bignum, and a count of how many parts there are.

/// Sets the least significant part of a bignum to the input value, and zeroes
/// out higher parts.
static void tcSet(WordType *, WordType, unsigned);

/// Assign one bignum to another.
static void tcAssign(WordType *, const WordType *, unsigned);

/// Returns true if a bignum is zero, false otherwise.
static bool tcIsZero(const WordType *, unsigned);

/// Extract the given bit of a bignum; returns 0 or 1.  Zero-based.
static int tcExtractBit(const WordType *, unsigned bit);

/// Copy the bit vector of width srcBITS from SRC, starting at bit srcLSB, to
/// DST, of dstCOUNT parts, such that the bit srcLSB becomes the least
/// significant bit of DST.  All high bits above srcBITS in DST are
/// zero-filled.
static void tcExtract(WordType *, unsigned dstCount,
                      const WordType *, unsigned srcBits,
                      unsigned srcLSB);

/// Set the given bit of a bignum.  Zero-based.
static void tcSetBit(WordType *, unsigned bit);

/// Clear the given bit of a bignum.  Zero-based.
static void tcClearBit(WordType *, unsigned bit);

/// Returns the bit number of the least or most significant set bit of a
/// number.  If the input number has no bits set -1U is returned.
static unsigned tcLSB(const WordType *, unsigned n);
static unsigned tcMSB(const WordType *parts, unsigned n);

/// Negate a bignum in-place.
static void tcNegate(WordType *, unsigned);

/// DST += RHS + CARRY where CARRY is zero or one.  Returns the carry flag.
static WordType tcAdd(WordType *, const WordType *,
                      WordType carry, unsigned);
/// DST += RHS.  Returns the carry flag.
static WordType tcAddPart(WordType *, WordType, unsigned);

/// DST -= RHS + CARRY where CARRY is zero or one. Returns the carry flag.
static WordType tcSubtract(WordType *, const WordType *,
                           WordType carry, unsigned);
/// DST -= RHS.  Returns the carry flag.
static WordType tcSubtractPart(WordType *, WordType, unsigned);

/// DST += SRC * MULTIPLIER + PART   if add is true
/// DST  = SRC * MULTIPLIER + PART   if add is false
///
/// Requires 0 <= DSTPARTS <= SRCPARTS + 1.  If DST overlaps SRC they must
/// start at the same point, i.e. DST == SRC.
///
/// If DSTPARTS == SRC_PARTS + 1 no overflow occurs and zero is returned.
/// Otherwise DST is filled with the least significant DSTPARTS parts of the
/// result, and if all of the omitted higher parts were zero return zero,
/// otherwise overflow occurred and return one.
static int tcMultiplyPart(WordType *dst, const WordType *src,
                          WordType multiplier, WordType carry,
                          unsigned srcParts, unsigned dstParts,
                          bool add);

/// DST = LHS * RHS, where DST has the same width as the operands and is
/// filled with the least significant parts of the result.  Returns one if
/// overflow occurred, otherwise zero.  DST must be disjoint from both
/// operands.
static int tcMultiply(WordType *, const WordType *, const WordType *,
                      unsigned);

/// DST = LHS * RHS, where DST has width the sum of the widths of the
/// operands. No overflow occurs. DST must be disjoint from both operands.
static void tcFullMultiply(WordType *, const WordType *,
                           const WordType *, unsigned, unsigned);

/// If RHS is zero LHS and REMAINDER are left unchanged, return one.
/// Otherwise set LHS to LHS / RHS with the fractional part discarded, set
/// REMAINDER to the remainder, return zero.  i.e.
///
///  OLD_LHS = RHS * LHS + REMAINDER
///
/// SCRATCH is a bignum of the same size as the operands and result for use by
/// the routine; its contents need not be initialized and are destroyed.  LHS,
/// REMAINDER and SCRATCH must be distinct.
static int tcDivide(WordType *lhs, const WordType *rhs,
                    WordType *remainder, WordType *scratch,
                    unsigned parts);

/// Shift a bignum left Count bits. Shifted in bits are zero. There are no
/// restrictions on Count.
static void tcShiftLeft(WordType *, unsigned Words, unsigned Count);

/// Shift a bignum right Count bits.  Shifted in bits are zero.  There are no
/// restrictions on Count.
static void tcShiftRight(WordType *, unsigned Words, unsigned Count);

/// The obvious AND, OR and XOR and complement operations.
static void tcAnd(WordType *, const WordType *, unsigned);
static void tcOr(WordType *, const WordType *, unsigned);
static void tcXor(WordType *, const WordType *, unsigned);
static void tcComplement(WordType *, unsigned);

/// Comparison (unsigned) of two bignums.
static int tcCompare(const WordType *, const WordType *, unsigned);

/// Increment a bignum in-place.  Return the carry flag.
static WordType tcIncrement(WordType *dst, unsigned parts) {
  return tcAddPart(dst, 1, parts);
}

/// Decrement a bignum in-place.  Return the borrow flag.
static WordType tcDecrement(WordType *dst, unsigned parts) {
  return tcSubtractPart(dst, 1, parts);
}

/// Set the least significant BITS and clear the rest.
static void tcSetLeastSignificantBits(WordType *, unsigned, unsigned bits);

/// debug method
void dump() const;

/// @}
1945};

1947/// Magic data for optimising signed division by a constant.
1948struct APInt::ms {
APInt m;    ///< magic number
unsigned s; ///< shift amount
1951};

1953/// Magic data for optimising unsigned division by a constant.
1954struct APInt::mu {
APInt m;    ///< magic number
bool a;     ///< add indicator
unsigned s; ///< shift amount
1958};

1960inline bool operator==(uint64_t V1, const APInt &V2) { return V2 == V1; }

1962inline bool operator!=(uint64_t V1, const APInt &V2) { return V2 != V1; }

1964/// Unary bitwise complement operator.
1965///
1966/// \returns an APInt that is the bitwise complement of \p v.
1967inline APInt operator~(APInt v) {
v.flipAllBits();
return v;
1970}

1972inline APInt operator&(APInt a, const APInt &b) {
a &= b;
return a;
1975}

1977inline APInt operator&(const APInt &a, APInt &&b) {
b &= a;
return std::move(b);
1980}

1982inline APInt operator&(APInt a, uint64_t RHS) {
a &= RHS;
return a;
1985}

1987inline APInt operator&(uint64_t LHS, APInt b) {
b &= LHS;
return b;
1990}

1992inline APInt operator|(APInt a, const APInt &b) {
a |= b;
return a;
1995}

1997inline APInt operator|(const APInt &a, APInt &&b) {
b |= a;
return std::move(b);
2000}

2002inline APInt operator|(APInt a, uint64_t RHS) {
a |= RHS;
return a;
2005}

2007inline APInt operator|(uint64_t LHS, APInt b) {
b |= LHS;
return b;
2010}

2012inline APInt operator^(APInt a, const APInt &b) {
a ^= b;
return a;
2015}

2017inline APInt operator^(const APInt &a, APInt &&b) {
b ^= a;
return std::move(b);
2020}

2022inline APInt operator^(APInt a, uint64_t RHS) {
a ^= RHS;
return a;
2025}

2027inline APInt operator^(uint64_t LHS, APInt b) {
b ^= LHS;
return b;
2030}

2032inline raw_ostream &operator<<(raw_ostream &OS, const APInt &I) {
I.print(OS, true);
return OS;
2035}

2037inline APInt operator-(APInt v) {
v.negate();
return v;
2040}

2042inline APInt operator+(APInt a, const APInt &b) {
a += b;
return a;
2045}

2047inline APInt operator+(const APInt &a, APInt &&b) {
b += a;
return std::move(b);
2050}

2052inline APInt operator+(APInt a, uint64_t RHS) {
a += RHS;
return a;
2055}

2057inline APInt operator+(uint64_t LHS, APInt b) {
b += LHS;
return b;
2060}

2062inline APInt operator-(APInt a, const APInt &b) {
a -= b;
return a;
2065}

2067inline APInt operator-(const APInt &a, APInt &&b) {
b.negate();
b += a;
return std::move(b);
2071}

2073inline APInt operator-(APInt a, uint64_t RHS) {
a -= RHS;
return a;
2076}

2078inline APInt operator-(uint64_t LHS, APInt b) {
b.negate();
b += LHS;
return b;
2082}

2084inline APInt operator*(APInt a, uint64_t RHS) {
a *= RHS;
return a;
2087}

2089inline APInt operator*(uint64_t LHS, APInt b) {
b *= LHS;
return b;
2092}


2095namespace APIntOps {

2097/// Determine the smaller of two APInts considered to be signed.
2098inline const APInt &smin(const APInt &A, const APInt &B) {
return A.slt(B) ? A : B;
2100}

2102/// Determine the larger of two APInts considered to be signed.
2103inline const APInt &smax(const APInt &A, const APInt &B) {
return A.sgt(B) ? A : B;
2105}

2107/// Determine the smaller of two APInts considered to be signed.
2108inline const APInt &umin(const APInt &A, const APInt &B) {
return A.ult(B) ? A : B;
2110}

2112/// Determine the larger of two APInts considered to be unsigned.
2113inline const APInt &umax(const APInt &A, const APInt &B) {
return A.ugt(B) ? A : B;
2115}

2117/// Compute GCD of two unsigned APInt values.
2118///
2119/// This function returns the greatest common divisor of the two APInt values
2120/// using Stein's algorithm.
2121///
2122/// \returns the greatest common divisor of A and B.
2123APInt GreatestCommonDivisor(APInt A, APInt B);

2125/// Converts the given APInt to a double value.
2126///
2127/// Treats the APInt as an unsigned value for conversion purposes.
2128inline double RoundAPIntToDouble(const APInt &APIVal) {
return APIVal.roundToDouble();
2130}

2132/// Converts the given APInt to a double value.
2133///
2134/// Treats the APInt as a signed value for conversion purposes.
2135inline double RoundSignedAPIntToDouble(const APInt &APIVal) {
return APIVal.signedRoundToDouble();
2137}

2139/// Converts the given APInt to a float vlalue.
2140inline float RoundAPIntToFloat(const APInt &APIVal) {
return float(RoundAPIntToDouble(APIVal));
2142}

2144/// Converts the given APInt to a float value.
2145///
2146/// Treast the APInt as a signed value for conversion purposes.
2147inline float RoundSignedAPIntToFloat(const APInt &APIVal) {
return float(APIVal.signedRoundToDouble());
2149}

2151/// Converts the given double value into a APInt.
2152///
2153/// This function convert a double value to an APInt value.
2154APInt RoundDoubleToAPInt(double Double, unsigned width);

2156/// Converts a float value into a APInt.
2157///
2158/// Converts a float value into an APInt value.
2159inline APInt RoundFloatToAPInt(float Float, unsigned width) {
return RoundDoubleToAPInt(double(Float), width);
2161}

2163/// Return A unsign-divided by B, rounded by the given rounding mode.
2164APInt RoundingUDiv(const APInt &A, const APInt &B, APInt::Rounding RM);

2166/// Return A sign-divided by B, rounded by the given rounding mode.
2167APInt RoundingSDiv(const APInt &A, const APInt &B, APInt::Rounding RM);

2169} // End of APIntOps namespace

2171// See friend declaration above. This additional declaration is required in
2172// order to compile LLVM with IBM xlC compiler.
2173hash_code hash_value(const APInt &Arg);
2174} // End of llvm namespace

2176#endif