BranchProbability.h

Go to the documentation of this file.

//===- BranchProbability.h - Branch Probability Wrapper ---------*- 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
//
//===----------------------------------------------------------------------===//
//
// Definition of BranchProbability shared by IR and Machine Instructions.
//
//===----------------------------------------------------------------------===//
 
#ifndef LLVM_SUPPORT_BRANCHPROBABILITY_H
#define LLVM_SUPPORT_BRANCHPROBABILITY_H
 
#include "llvm/ADT/ADL.h"
#include "llvm/Support/Compiler.h"
#include "llvm/Support/DataTypes.h"
#include <algorithm>
#include <cassert>
#include <iterator>
#include <numeric>
 
namespace llvm {
 
class raw_ostream;
 
// This class represents Branch Probability as a non-negative fraction that is
// no greater than 1. It uses a fixed-point-like implementation, in which the
// denominator is always a constant value (here we use 1<<31 for maximum
// precision).
class BranchProbability {
  // Numerator
  uint32_t N;
 
  // Denominator, which is a constant value.
  static constexpr uint32_t D = 1u << 31;
  static constexpr uint32_t UnknownN = UINT32_MAX;
 
  // Construct a BranchProbability with only numerator assuming the denominator
  // is 1<<31. For internal use only.
  explicit constexpr BranchProbability(uint32_t n) : N(n) {}
 
public:
  constexpr BranchProbability() : N(UnknownN) {}
  constexpr BranchProbability(uint32_t Numerator, uint32_t Denominator)
      : N(Numerator) {
    assert(Denominator > 0 && "Denominator cannot be 0!");
    assert(Numerator <= Denominator && "Probability cannot be bigger than 1!");
    if (Denominator != D) {
      uint64_t Prob64 =
          (Numerator * static_cast<uint64_t>(D) + Denominator / 2) /
          Denominator;
      N = static_cast<uint32_t>(Prob64);
    }
  }
 
  bool isZero() const { return N == 0; }
  bool isOne() const { return N == D; }
  bool isUnknown() const { return N == UnknownN; }
 
  static constexpr BranchProbability getZero() { return BranchProbability(0); }
  static constexpr BranchProbability getOne() { return BranchProbability(D); }
  static constexpr BranchProbability getUnknown() {
    return BranchProbability(UnknownN);
  }
  // Create a BranchProbability object with the given numerator and 1<<31
  // as denominator.
  static constexpr BranchProbability getRaw(uint32_t N) {
    return BranchProbability(N);
  }
  // Create a BranchProbability object from 64-bit integers.
  LLVM_ABI static BranchProbability getBranchProbability(uint64_t Numerator,
                                                         uint64_t Denominator);
  // Create a BranchProbability from a double, which must be from 0 to 1.
  LLVM_ABI static BranchProbability getBranchProbability(double Prob);
 
  // Normalize given probabilties so that the sum of them becomes approximate
  // one.
  template <class ProbabilityIter>
  static void normalizeProbabilities(ProbabilityIter Begin,
                                     ProbabilityIter End);
 
  template <class ProbabilityContainer>
  static void normalizeProbabilities(ProbabilityContainer &&R) {
    normalizeProbabilities(adl_begin(R), adl_end(R));
  }
 
  uint32_t getNumerator() const { return N; }
  static uint32_t getDenominator() { return D; }
  double toDouble() const { return static_cast<double>(N) / D; }
 
  // Return (1 - Probability).
  BranchProbability getCompl() const { return BranchProbability(D - N); }
 
  LLVM_ABI raw_ostream &print(raw_ostream &OS) const;
 
#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
  LLVM_DUMP_METHOD void dump() const;
#endif
 
  /// Scale a large integer.
  ///
  /// Scales \c Num.  Guarantees full precision.  Returns the floor of the
  /// result.
  ///
  /// \return \c Num times \c this.
  LLVM_ABI uint64_t scale(uint64_t Num) const;
 
  /// Scale a large integer by the inverse.
  ///
  /// Scales \c Num by the inverse of \c this.  Guarantees full precision.
  /// Returns the floor of the result.
  ///
  /// \return \c Num divided by \c this.
  LLVM_ABI uint64_t scaleByInverse(uint64_t Num) const;
 
  /// Compute pow(Probability, N).
  LLVM_ABI BranchProbability pow(unsigned N) const;
 
  BranchProbability &operator+=(BranchProbability RHS) {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in arithmetics.");
    // Saturate the result in case of overflow.
    N = (uint64_t(N) + RHS.N > D) ? D : N + RHS.N;
    return *this;
  }
 
  BranchProbability &operator-=(BranchProbability RHS) {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in arithmetics.");
    // Saturate the result in case of underflow.
    N = N < RHS.N ? 0 : N - RHS.N;
    return *this;
  }
 
  BranchProbability &operator*=(BranchProbability RHS) {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in arithmetics.");
    N = (static_cast<uint64_t>(N) * RHS.N + D / 2) / D;
    return *this;
  }
 
  BranchProbability &operator*=(uint32_t RHS) {
    assert(N != UnknownN &&
           "Unknown probability cannot participate in arithmetics.");
    N = (uint64_t(N) * RHS > D) ? D : N * RHS;
    return *this;
  }
 
  BranchProbability &operator/=(BranchProbability RHS) {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in arithmetics.");
    N = (static_cast<uint64_t>(N) * D + RHS.N / 2) / RHS.N;
    return *this;
  }
 
  BranchProbability &operator/=(uint32_t RHS) {
    assert(N != UnknownN &&
           "Unknown probability cannot participate in arithmetics.");
    assert(RHS > 0 && "The divider cannot be zero.");
    N /= RHS;
    return *this;
  }
 
  BranchProbability operator+(BranchProbability RHS) const {
    BranchProbability Prob(*this);
    Prob += RHS;
    return Prob;
  }
 
  BranchProbability operator-(BranchProbability RHS) const {
    BranchProbability Prob(*this);
    Prob -= RHS;
    return Prob;
  }
 
  BranchProbability operator*(BranchProbability RHS) const {
    BranchProbability Prob(*this);
    Prob *= RHS;
    return Prob;
  }
 
  BranchProbability operator*(uint32_t RHS) const {
    BranchProbability Prob(*this);
    Prob *= RHS;
    return Prob;
  }
 
  BranchProbability operator/(BranchProbability RHS) const {
    BranchProbability Prob(*this);
    Prob /= RHS;
    return Prob;
  }
 
  BranchProbability operator/(uint32_t RHS) const {
    BranchProbability Prob(*this);
    Prob /= RHS;
    return Prob;
  }
 
  bool operator==(BranchProbability RHS) const { return N == RHS.N; }
  bool operator!=(BranchProbability RHS) const { return !(*this == RHS); }
 
  bool operator<(BranchProbability RHS) const {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in comparisons.");
    return N < RHS.N;
  }
 
  bool operator>(BranchProbability RHS) const {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in comparisons.");
    return RHS < *this;
  }
 
  bool operator<=(BranchProbability RHS) const {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in comparisons.");
    return !(RHS < *this);
  }
 
  bool operator>=(BranchProbability RHS) const {
    assert(N != UnknownN && RHS.N != UnknownN &&
           "Unknown probability cannot participate in comparisons.");
    return !(*this < RHS);
  }
};
 
inline raw_ostream &operator<<(raw_ostream &OS, BranchProbability Prob) {
  return Prob.print(OS);
}
 
template <class ProbabilityIter>
void BranchProbability::normalizeProbabilities(ProbabilityIter Begin,
                                               ProbabilityIter End) {
  if (Begin == End)
    return;
 
  unsigned UnknownProbCount = 0;
  uint64_t Sum = std::accumulate(Begin, End, uint64_t(0),
                                 [&](uint64_t S, const BranchProbability &BP) {
                                   if (!BP.isUnknown())
                                     return S + BP.N;
                                   UnknownProbCount++;
                                   return S;
                                 });
 
  if (UnknownProbCount > 0) {
    BranchProbability ProbForUnknown = BranchProbability::getZero();
    // If the sum of all known probabilities is less than one, evenly distribute
    // the complement of sum to unknown probabilities. Otherwise, set unknown
    // probabilities to zeros and continue to normalize known probabilities.
    if (Sum < BranchProbability::getDenominator())
      ProbForUnknown = BranchProbability::getRaw(
          (BranchProbability::getDenominator() - Sum) / UnknownProbCount);
 
    std::replace_if(Begin, End,
                    [](const BranchProbability &BP) { return BP.isUnknown(); },
                    ProbForUnknown);
 
    if (Sum <= BranchProbability::getDenominator())
      return;
  }
 
  if (Sum == 0) {
    BranchProbability BP(1, std::distance(Begin, End));
    std::fill(Begin, End, BP);
    return;
  }
 
  for (auto I = Begin; I != End; ++I)
    I->N = (I->N * uint64_t(D) + Sum / 2) / Sum;
}
 
}
 
#endif