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📄 AArch64TargetParser.cpp(8 KB)
📄 ABIBreak.cpp(811 B)
📄 AMDGPUMetadata.cpp(9.37 KB)
📄 APFloat.cpp(155.26 KB)
📄 APInt.cpp(98.08 KB)
📄 APSInt.cpp(1.44 KB)
📄 ARMAttributeParser.cpp(13.94 KB)
📄 ARMBuildAttrs.cpp(3.45 KB)
📄 ARMTargetParser.cpp(18.09 KB)
📄 ARMWinEH.cpp(1.08 KB)
📄 Allocator.cpp(1.35 KB)
📄 Atomic.cpp(1.6 KB)
📄 BinaryStreamError.cpp(1.76 KB)
📄 BinaryStreamReader.cpp(5.24 KB)
📄 BinaryStreamRef.cpp(4.76 KB)
📄 BinaryStreamWriter.cpp(3.36 KB)
📄 BlockFrequency.cpp(2.12 KB)
📄 BranchProbability.cpp(3.44 KB)
📄 BuryPointer.cpp(1.11 KB)
📄 COM.cpp(737 B)
📄 COPYRIGHT.regex(2.65 KB)
📄 CRC.cpp(5.23 KB)
📄 CachePruning.cpp(10.33 KB)
📄 Chrono.cpp(3.17 KB)
📄 CodeGenCoverage.cpp(3.61 KB)
📄 CommandLine.cpp(89.06 KB)
📄 Compression.cpp(3.84 KB)
📄 ConvertUTF.cpp(27.27 KB)
📄 ConvertUTFWrapper.cpp(8.66 KB)
📄 CrashRecoveryContext.cpp(15.45 KB)
📄 DAGDeltaAlgorithm.cpp(12.47 KB)
📄 DJB.cpp(2.71 KB)
📄 DataExtractor.cpp(7.25 KB)
📄 Debug.cpp(5.64 KB)
📄 DebugCounter.cpp(4.95 KB)
📄 DeltaAlgorithm.cpp(3.41 KB)
📄 DynamicLibrary.cpp(6.25 KB)
📄 ELFAttributeParser.cpp(7.27 KB)
📄 ELFAttributes.cpp(1.27 KB)
📄 Errno.cpp(2.18 KB)
📄 Error.cpp(4.72 KB)
📄 ErrorHandling.cpp(11.08 KB)
📄 ExtensibleRTTI.cpp(446 B)
📄 FileCheck.cpp(95.77 KB)
📄 FileCheckImpl.h(34.14 KB)
📄 FileCollector.cpp(9.01 KB)
📄 FileOutputBuffer.cpp(6.62 KB)
📄 FileUtilities.cpp(10.81 KB)
📄 FoldingSet.cpp(15.89 KB)
📄 FormatVariadic.cpp(5.17 KB)
📄 FormattedStream.cpp(5.29 KB)
📄 GlobPattern.cpp(5 KB)
📄 GraphWriter.cpp(9.21 KB)
📄 Hashing.cpp(1.16 KB)
📄 Host.cpp(51.63 KB)
📄 InitLLVM.cpp(1.92 KB)
📄 IntEqClasses.cpp(2.18 KB)
📄 IntervalMap.cpp(4.4 KB)
📄 ItaniumManglingCanonicalizer.cpp(10.77 KB)
📄 JSON.cpp(19.1 KB)
📄 KnownBits.cpp(3.78 KB)
📄 LEB128.cpp(1.19 KB)
📄 LineIterator.cpp(2.61 KB)
📄 Locale.cpp(377 B)
📄 LockFileManager.cpp(10.64 KB)
📄 LowLevelType.cpp(2.09 KB)
📄 MD5.cpp(8.99 KB)
📄 ManagedStatic.cpp(2.37 KB)
📄 MathExtras.cpp(913 B)
📄 MemAlloc.cpp(1.01 KB)
📄 Memory.cpp(1.57 KB)
📄 MemoryBuffer.cpp(18.99 KB)
📄 NativeFormatting.cpp(7.54 KB)
📄 OptimizedStructLayout.cpp(16.7 KB)
📄 Optional.cpp(530 B)
📄 Parallel.cpp(5.08 KB)
📄 Path.cpp(36.52 KB)
📄 PluginLoader.cpp(1.63 KB)
📄 PrettyStackTrace.cpp(10.33 KB)
📄 Process.cpp(3.27 KB)
📄 Program.cpp(3.54 KB)
📄 RISCVAttributeParser.cpp(2.06 KB)
📄 RISCVAttributes.cpp(970 B)
📄 RWMutex.cpp(3.23 KB)
📄 RandomNumberGenerator.cpp(2.86 KB)
📄 Regex.cpp(6.38 KB)
📄 SHA1.cpp(10.43 KB)
📄 ScaledNumber.cpp(9.09 KB)
📄 ScopedPrinter.cpp(1.19 KB)
📄 Signals.cpp(8.35 KB)
📄 Signposts.cpp(3.24 KB)
📄 SmallPtrSet.cpp(9.21 KB)
📄 SmallVector.cpp(3.99 KB)
📄 SourceMgr.cpp(20.08 KB)
📄 SpecialCaseList.cpp(7.48 KB)
📄 Statistic.cpp(8.85 KB)
📄 StringExtras.cpp(4.34 KB)
📄 StringMap.cpp(9.31 KB)
📄 StringRef.cpp(17.41 KB)
📄 StringSaver.cpp(882 B)
📄 SuffixTree.cpp(7.23 KB)
📄 SymbolRemappingReader.cpp(2.94 KB)
📄 SystemUtils.cpp(1.06 KB)
📄 TarWriter.cpp(7.23 KB)
📄 TargetParser.cpp(9.86 KB)
📄 TargetRegistry.cpp(4.6 KB)
📄 ThreadLocal.cpp(1.68 KB)
📄 ThreadPool.cpp(4.4 KB)
📄 Threading.cpp(4.55 KB)
📄 TimeProfiler.cpp(11.63 KB)
📄 Timer.cpp(14.14 KB)
📄 ToolOutputFile.cpp(1.83 KB)
📄 TrigramIndex.cpp(3.24 KB)
📄 Triple.cpp(53.17 KB)
📄 Twine.cpp(4.6 KB)
📄 Unicode.cpp(20.14 KB)
📄 UnicodeCaseFold.cpp(15.32 KB)
📁 Unix
📄 Valgrind.cpp(1.6 KB)
📄 VersionTuple.cpp(2.74 KB)
📄 VirtualFileSystem.cpp(74.17 KB)
📄 Watchdog.cpp(738 B)
📁 Windows
📄 WithColor.cpp(4.35 KB)
📄 X86TargetParser.cpp(27.21 KB)
📄 YAMLParser.cpp(68.53 KB)
📄 YAMLTraits.cpp(28.37 KB)
📄 Z3Solver.cpp(31.44 KB)
📄 circular_raw_ostream.cpp(1.3 KB)
📄 raw_os_ostream.cpp(995 B)
📄 raw_ostream.cpp(28.97 KB)
📄 regcomp.c(39.42 KB)
📄 regengine.inc(26.49 KB)
📄 regerror.c(4.42 KB)
📄 regex2.h(6.82 KB)
📄 regex_impl.h(3.63 KB)
📄 regexec.c(5.71 KB)
📄 regfree.c(2.49 KB)
📄 regstrlcpy.c(1.56 KB)
📄 regutils.h(2.25 KB)
📄 xxhash.cpp(4.07 KB)

Editing: ScaledNumber.cpp

//==- lib/Support/ScaledNumber.cpp - Support for scaled numbers -*- C++ -*-===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// Implementation of some scaled number algorithms.
//
//===----------------------------------------------------------------------===//

#include "llvm/Support/ScaledNumber.h"
#include "llvm/ADT/APFloat.h"
#include "llvm/ADT/ArrayRef.h"
#include "llvm/Support/Debug.h"
#include "llvm/Support/raw_ostream.h"

using namespace llvm;
using namespace llvm::ScaledNumbers;

std::pair<uint64_t, int16_t> ScaledNumbers::multiply64(uint64_t LHS,
                                                       uint64_t RHS) {
  // Separate into two 32-bit digits (U.L).
  auto getU = [](uint64_t N) { return N >> 32; };
  auto getL = [](uint64_t N) { return N & UINT32_MAX; };
  uint64_t UL = getU(LHS), LL = getL(LHS), UR = getU(RHS), LR = getL(RHS);

// Compute cross products.
  uint64_t P1 = UL * UR, P2 = UL * LR, P3 = LL * UR, P4 = LL * LR;

// Sum into two 64-bit digits.
  uint64_t Upper = P1, Lower = P4;
  auto addWithCarry = [&](uint64_t N) {
    uint64_t NewLower = Lower + (getL(N) << 32);
    Upper += getU(N) + (NewLower < Lower);
    Lower = NewLower;
  };
  addWithCarry(P2);
  addWithCarry(P3);

// Check whether the upper digit is empty.
  if (!Upper)
    return std::make_pair(Lower, 0);

// Shift as little as possible to maximize precision.
  unsigned LeadingZeros = countLeadingZeros(Upper);
  int Shift = 64 - LeadingZeros;
  if (LeadingZeros)
    Upper = Upper << LeadingZeros | Lower >> Shift;
  return getRounded(Upper, Shift,
                    Shift && (Lower & UINT64_C(1) << (Shift - 1)));
}

static uint64_t getHalf(uint64_t N) { return (N >> 1) + (N & 1); }

std::pair<uint32_t, int16_t> ScaledNumbers::divide32(uint32_t Dividend,
                                                     uint32_t Divisor) {
  assert(Dividend && "expected non-zero dividend");
  assert(Divisor && "expected non-zero divisor");

// Use 64-bit math and canonicalize the dividend to gain precision.
  uint64_t Dividend64 = Dividend;
  int Shift = 0;
  if (int Zeros = countLeadingZeros(Dividend64)) {
    Shift -= Zeros;
    Dividend64 <<= Zeros;
  }
  uint64_t Quotient = Dividend64 / Divisor;
  uint64_t Remainder = Dividend64 % Divisor;

// If Quotient needs to be shifted, leave the rounding to getAdjusted().
  if (Quotient > UINT32_MAX)
    return getAdjusted<uint32_t>(Quotient, Shift);

// Round based on the value of the next bit.
  return getRounded<uint32_t>(Quotient, Shift, Remainder >= getHalf(Divisor));
}

std::pair<uint64_t, int16_t> ScaledNumbers::divide64(uint64_t Dividend,
                                                     uint64_t Divisor) {
  assert(Dividend && "expected non-zero dividend");
  assert(Divisor && "expected non-zero divisor");

// Minimize size of divisor.
  int Shift = 0;
  if (int Zeros = countTrailingZeros(Divisor)) {
    Shift -= Zeros;
    Divisor >>= Zeros;
  }

// Check for powers of two.
  if (Divisor == 1)
    return std::make_pair(Dividend, Shift);

// Maximize size of dividend.
  if (int Zeros = countLeadingZeros(Dividend)) {
    Shift -= Zeros;
    Dividend <<= Zeros;
  }

// Start with the result of a divide.
  uint64_t Quotient = Dividend / Divisor;
  Dividend %= Divisor;

// Continue building the quotient with long division.
  while (!(Quotient >> 63) && Dividend) {
    // Shift Dividend and check for overflow.
    bool IsOverflow = Dividend >> 63;
    Dividend <<= 1;
    --Shift;

// Get the next bit of Quotient.
    Quotient <<= 1;
    if (IsOverflow || Divisor <= Dividend) {
      Quotient |= 1;
      Dividend -= Divisor;
    }
  }

return getRounded(Quotient, Shift, Dividend >= getHalf(Divisor));
}

int ScaledNumbers::compareImpl(uint64_t L, uint64_t R, int ScaleDiff) {
  assert(ScaleDiff >= 0 && "wrong argument order");
  assert(ScaleDiff < 64 && "numbers too far apart");

uint64_t L_adjusted = L >> ScaleDiff;
  if (L_adjusted < R)
    return -1;
  if (L_adjusted > R)
    return 1;

return L > L_adjusted << ScaleDiff ? 1 : 0;
}

static void appendDigit(std::string &Str, unsigned D) {
  assert(D < 10);
  Str += '0' + D % 10;
}

static void appendNumber(std::string &Str, uint64_t N) {
  while (N) {
    appendDigit(Str, N % 10);
    N /= 10;
  }
}

static bool doesRoundUp(char Digit) {
  switch (Digit) {
  case '5':
  case '6':
  case '7':
  case '8':
  case '9':
    return true;
  default:
    return false;
  }
}

static std::string toStringAPFloat(uint64_t D, int E, unsigned Precision) {
  assert(E >= ScaledNumbers::MinScale);
  assert(E <= ScaledNumbers::MaxScale);

// Find a new E, but don't let it increase past MaxScale.
  int LeadingZeros = ScaledNumberBase::countLeadingZeros64(D);
  int NewE = std::min(ScaledNumbers::MaxScale, E + 63 - LeadingZeros);
  int Shift = 63 - (NewE - E);
  assert(Shift <= LeadingZeros);
  assert(Shift == LeadingZeros || NewE == ScaledNumbers::MaxScale);
  assert(Shift >= 0 && Shift < 64 && "undefined behavior");
  D <<= Shift;
  E = NewE;

// Check for a denormal.
  unsigned AdjustedE = E + 16383;
  if (!(D >> 63)) {
    assert(E == ScaledNumbers::MaxScale);
    AdjustedE = 0;
  }

// Build the float and print it.
  uint64_t RawBits[2] = {D, AdjustedE};
  APFloat Float(APFloat::x87DoubleExtended(), APInt(80, RawBits));
  SmallVector<char, 24> Chars;
  Float.toString(Chars, Precision, 0);
  return std::string(Chars.begin(), Chars.end());
}

static std::string stripTrailingZeros(const std::string &Float) {
  size_t NonZero = Float.find_last_not_of('0');
  assert(NonZero != std::string::npos && "no . in floating point string");

if (Float[NonZero] == '.')
    ++NonZero;

return Float.substr(0, NonZero + 1);
}

std::string ScaledNumberBase::toString(uint64_t D, int16_t E, int Width,
                                       unsigned Precision) {
  if (!D)
    return "0.0";

// Canonicalize exponent and digits.
  uint64_t Above0 = 0;
  uint64_t Below0 = 0;
  uint64_t Extra = 0;
  int ExtraShift = 0;
  if (E == 0) {
    Above0 = D;
  } else if (E > 0) {
    if (int Shift = std::min(int16_t(countLeadingZeros64(D)), E)) {
      D <<= Shift;
      E -= Shift;

if (!E)
        Above0 = D;
    }
  } else if (E > -64) {
    Above0 = D >> -E;
    Below0 = D << (64 + E);
  } else if (E == -64) {
    // Special case: shift by 64 bits is undefined behavior.
    Below0 = D;
  } else if (E > -120) {
    Below0 = D >> (-E - 64);
    Extra = D << (128 + E);
    ExtraShift = -64 - E;
  }

// Fall back on APFloat for very small and very large numbers.
  if (!Above0 && !Below0)
    return toStringAPFloat(D, E, Precision);

// Append the digits before the decimal.
  std::string Str;
  size_t DigitsOut = 0;
  if (Above0) {
    appendNumber(Str, Above0);
    DigitsOut = Str.size();
  } else
    appendDigit(Str, 0);
  std::reverse(Str.begin(), Str.end());

// Return early if there's nothing after the decimal.
  if (!Below0)
    return Str + ".0";

// Append the decimal and beyond.
  Str += '.';
  uint64_t Error = UINT64_C(1) << (64 - Width);

// We need to shift Below0 to the right to make space for calculating
  // digits.  Save the precision we're losing in Extra.
  Extra = (Below0 & 0xf) << 56 | (Extra >> 8);
  Below0 >>= 4;
  size_t SinceDot = 0;
  size_t AfterDot = Str.size();
  do {
    if (ExtraShift) {
      --ExtraShift;
      Error *= 5;
    } else
      Error *= 10;

Below0 *= 10;
    Extra *= 10;
    Below0 += (Extra >> 60);
    Extra = Extra & (UINT64_MAX >> 4);
    appendDigit(Str, Below0 >> 60);
    Below0 = Below0 & (UINT64_MAX >> 4);
    if (DigitsOut || Str.back() != '0')
      ++DigitsOut;
    ++SinceDot;
  } while (Error && (Below0 << 4 | Extra >> 60) >= Error / 2 &&
           (!Precision || DigitsOut <= Precision || SinceDot < 2));

// Return early for maximum precision.
  if (!Precision || DigitsOut <= Precision)
    return stripTrailingZeros(Str);

// Find where to truncate.
  size_t Truncate =
      std::max(Str.size() - (DigitsOut - Precision), AfterDot + 1);

// Check if there's anything to truncate.
  if (Truncate >= Str.size())
    return stripTrailingZeros(Str);

bool Carry = doesRoundUp(Str[Truncate]);
  if (!Carry)
    return stripTrailingZeros(Str.substr(0, Truncate));

// Round with the first truncated digit.
  for (std::string::reverse_iterator I(Str.begin() + Truncate), E = Str.rend();
       I != E; ++I) {
    if (*I == '.')
      continue;
    if (*I == '9') {
      *I = '0';
      continue;
    }

++*I;
    Carry = false;
    break;
  }

// Add "1" in front if we still need to carry.
  return stripTrailingZeros(std::string(Carry, '1') + Str.substr(0, Truncate));
}

raw_ostream &ScaledNumberBase::print(raw_ostream &OS, uint64_t D, int16_t E,
                                     int Width, unsigned Precision) {
  return OS << toString(D, E, Width, Precision);
}

void ScaledNumberBase::dump(uint64_t D, int16_t E, int Width) {
  print(dbgs(), D, E, Width, 0) << "[" << Width << ":" << D << "*2^" << E
                                << "]";
}

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Editing: ScaledNumber.cpp

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