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//===- BranchProbability.h - Branch Probability Wrapper ---------*- C++ -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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//
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// Definition of BranchProbability shared by IR and Machine Instructions.
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_SUPPORT_BRANCHPROBABILITY_H
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#define LLVM_SUPPORT_BRANCHPROBABILITY_H
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#include "llvm/Support/DataTypes.h"
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#include <algorithm>
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#include <cassert>
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#include <iterator>
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#include <numeric>
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namespace llvm {
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class raw_ostream;
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// This class represents Branch Probability as a non-negative fraction that is
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// no greater than 1. It uses a fixed-point-like implementation, in which the
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// denominator is always a constant value (here we use 1<<31 for maximum
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// precision).
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class BranchProbability {
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  // Numerator
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  uint32_t N;
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  // Denominator, which is a constant value.
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  static constexpr uint32_t D = 1u << 31;
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  static constexpr uint32_t UnknownN = UINT32_MAX;
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  // Construct a BranchProbability with only numerator assuming the denominator
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  // is 1<<31. For internal use only.
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  explicit BranchProbability(uint32_t n) : N(n) {}
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public:
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  BranchProbability() : N(UnknownN) {}
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  BranchProbability(uint32_t Numerator, uint32_t Denominator);
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  bool isZero() const { return N == 0; }
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  bool isUnknown() const { return N == UnknownN; }
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  static BranchProbability getZero() { return BranchProbability(0); }
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  static BranchProbability getOne() { return BranchProbability(D); }
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  static BranchProbability getUnknown() { return BranchProbability(UnknownN); }
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  // Create a BranchProbability object with the given numerator and 1<<31
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  // as denominator.
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  static BranchProbability getRaw(uint32_t N) { return BranchProbability(N); }
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  // Create a BranchProbability object from 64-bit integers.
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  static BranchProbability getBranchProbability(uint64_t Numerator,
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                                                uint64_t Denominator);
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  // Normalize given probabilties so that the sum of them becomes approximate
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  // one.
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  template <class ProbabilityIter>
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  static void normalizeProbabilities(ProbabilityIter Begin,
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                                     ProbabilityIter End);
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  uint32_t getNumerator() const { return N; }
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  static uint32_t getDenominator() { return D; }
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  // Return (1 - Probability).
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  BranchProbability getCompl() const { return BranchProbability(D - N); }
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  raw_ostream &print(raw_ostream &OS) const;
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  void dump() const;
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  /// Scale a large integer.
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  ///
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  /// Scales \c Num.  Guarantees full precision.  Returns the floor of the
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  /// result.
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  ///
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  /// \return \c Num times \c this.
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  uint64_t scale(uint64_t Num) const;
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  /// Scale a large integer by the inverse.
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  ///
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  /// Scales \c Num by the inverse of \c this.  Guarantees full precision.
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  /// Returns the floor of the result.
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  ///
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  /// \return \c Num divided by \c this.
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  uint64_t scaleByInverse(uint64_t Num) const;
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  BranchProbability &operator+=(BranchProbability RHS) {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in arithmetics.");
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    // Saturate the result in case of overflow.
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    N = (uint64_t(N) + RHS.N > D) ? D : N + RHS.N;
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    return *this;
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  }
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  BranchProbability &operator-=(BranchProbability RHS) {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in arithmetics.");
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    // Saturate the result in case of underflow.
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    N = N < RHS.N ? 0 : N - RHS.N;
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    return *this;
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  }
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  BranchProbability &operator*=(BranchProbability RHS) {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in arithmetics.");
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    N = (static_cast<uint64_t>(N) * RHS.N + D / 2) / D;
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    return *this;
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  }
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  BranchProbability &operator*=(uint32_t RHS) {
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    assert(N != UnknownN &&
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           "Unknown probability cannot participate in arithmetics.");
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    N = (uint64_t(N) * RHS > D) ? D : N * RHS;
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    return *this;
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  }
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  BranchProbability &operator/=(BranchProbability RHS) {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in arithmetics.");
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    N = (static_cast<uint64_t>(N) * D + RHS.N / 2) / RHS.N;
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    return *this;
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  }
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  BranchProbability &operator/=(uint32_t RHS) {
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    assert(N != UnknownN &&
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           "Unknown probability cannot participate in arithmetics.");
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    assert(RHS > 0 && "The divider cannot be zero.");
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    N /= RHS;
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    return *this;
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  }
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  BranchProbability operator+(BranchProbability RHS) const {
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    BranchProbability Prob(*this);
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    Prob += RHS;
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    return Prob;
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  }
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  BranchProbability operator-(BranchProbability RHS) const {
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    BranchProbability Prob(*this);
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    Prob -= RHS;
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    return Prob;
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  }
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  BranchProbability operator*(BranchProbability RHS) const {
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    BranchProbability Prob(*this);
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    Prob *= RHS;
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    return Prob;
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  }
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  BranchProbability operator*(uint32_t RHS) const {
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    BranchProbability Prob(*this);
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    Prob *= RHS;
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    return Prob;
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  }
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  BranchProbability operator/(BranchProbability RHS) const {
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    BranchProbability Prob(*this);
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    Prob /= RHS;
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    return Prob;
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  }
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  BranchProbability operator/(uint32_t RHS) const {
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    BranchProbability Prob(*this);
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    Prob /= RHS;
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    return Prob;
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  }
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  bool operator==(BranchProbability RHS) const { return N == RHS.N; }
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  bool operator!=(BranchProbability RHS) const { return !(*this == RHS); }
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  bool operator<(BranchProbability RHS) const {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in comparisons.");
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    return N < RHS.N;
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  }
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  bool operator>(BranchProbability RHS) const {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in comparisons.");
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    return RHS < *this;
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  }
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  bool operator<=(BranchProbability RHS) const {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in comparisons.");
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    return !(RHS < *this);
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  }
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  bool operator>=(BranchProbability RHS) const {
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    assert(N != UnknownN && RHS.N != UnknownN &&
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           "Unknown probability cannot participate in comparisons.");
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    return !(*this < RHS);
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  }
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};
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inline raw_ostream &operator<<(raw_ostream &OS, BranchProbability Prob) {
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  return Prob.print(OS);
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}
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template <class ProbabilityIter>
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void BranchProbability::normalizeProbabilities(ProbabilityIter Begin,
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                                               ProbabilityIter End) {
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  if (Begin == End)
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    return;
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  unsigned UnknownProbCount = 0;
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  uint64_t Sum = std::accumulate(Begin, End, uint64_t(0),
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                                 [&](uint64_t S, const BranchProbability &BP) {
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                                   if (!BP.isUnknown())
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                                     return S + BP.N;
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                                   UnknownProbCount++;
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                                   return S;
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                                 });
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  if (UnknownProbCount > 0) {
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    BranchProbability ProbForUnknown = BranchProbability::getZero();
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    // If the sum of all known probabilities is less than one, evenly distribute
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    // the complement of sum to unknown probabilities. Otherwise, set unknown
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    // probabilities to zeros and continue to normalize known probabilities.
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    if (Sum < BranchProbability::getDenominator())
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      ProbForUnknown = BranchProbability::getRaw(
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          (BranchProbability::getDenominator() - Sum) / UnknownProbCount);
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    std::replace_if(Begin, End,
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                    [](const BranchProbability &BP) { return BP.isUnknown(); },
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                    ProbForUnknown);
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    if (Sum <= BranchProbability::getDenominator())
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      return;
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  }
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  if (Sum == 0) {
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    BranchProbability BP(1, std::distance(Begin, End));
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    std::fill(Begin, End, BP);
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    return;
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  }
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  for (auto I = Begin; I != End; ++I)
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    I->N = (I->N * uint64_t(D) + Sum / 2) / Sum;
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}
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}
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#endif