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//===- BranchProbability.h - Branch Probability Wrapper ---------*- C++ -*-===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// Definition of BranchProbability shared by IR and Machine Instructions.
//
//===----------------------------------------------------------------------===//
#ifndef LLVM_SUPPORT_BRANCHPROBABILITY_H
#define LLVM_SUPPORT_BRANCHPROBABILITY_H
#include "llvm/Support/DataTypes.h"
#include <algorithm>
#include <cassert>
#include <climits>
#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 const uint32_t D = 1u << 31;
static const uint32_t UnknownN = UINT32_MAX;
// Construct a BranchProbability with only numerator assuming the denominator
// is 1<<31. For internal use only.
explicit BranchProbability(uint32_t n) : N(n) {}
public:
BranchProbability() : N(UnknownN) {}
BranchProbability(uint32_t Numerator, uint32_t Denominator);
bool isZero() const { return N == 0; }
bool isUnknown() const { return N == UnknownN; }
static BranchProbability getZero() { return BranchProbability(0); }
static BranchProbability getOne() { return BranchProbability(D); }
static BranchProbability getUnknown() { return BranchProbability(UnknownN); }
// Create a BranchProbability object with the given numerator and 1<<31
// as denominator.
static BranchProbability getRaw(uint32_t N) { return BranchProbability(N); }
// Create a BranchProbability object from 64-bit integers.
static BranchProbability getBranchProbability(uint64_t Numerator,
uint64_t Denominator);
// Normalize given probabilties so that the sum of them becomes approximate
// one.
template <class ProbabilityIter>
static void normalizeProbabilities(ProbabilityIter Begin,
ProbabilityIter End);
// Normalize a list of weights by scaling them down so that the sum of them
// doesn't exceed UINT32_MAX.
template <class WeightListIter>
static void normalizeEdgeWeights(WeightListIter Begin, WeightListIter End);
uint32_t getNumerator() const { return N; }
static uint32_t getDenominator() { return D; }
// Return (1 - Probability).
BranchProbability getCompl() const { return BranchProbability(D - N); }
raw_ostream &print(raw_ostream &OS) const;
void dump() const;
/// \brief Scale a large integer.
///
/// Scales \c Num. Guarantees full precision. Returns the floor of the
/// result.
///
/// \return \c Num times \c this.
uint64_t scale(uint64_t Num) const;
/// \brief 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.
uint64_t scaleByInverse(uint64_t Num) 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.");
assert(RHS > 0 && "The divider cannot be zero.");
N /= RHS;
return *this;
}
BranchProbability operator+(BranchProbability RHS) const {
BranchProbability Prob(*this);
return Prob += RHS;
}
BranchProbability operator-(BranchProbability RHS) const {
BranchProbability Prob(*this);
return Prob -= RHS;
}
BranchProbability operator*(BranchProbability RHS) const {
BranchProbability Prob(*this);
return Prob *= RHS;
}
BranchProbability operator/(uint32_t RHS) const {
BranchProbability Prob(*this);
return Prob /= RHS;
}
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;
}
template <class WeightListIter>
void BranchProbability::normalizeEdgeWeights(WeightListIter Begin,
WeightListIter End) {
// First we compute the sum with 64-bits of precision.
uint64_t Sum = std::accumulate(Begin, End, uint64_t(0));
if (Sum > UINT32_MAX) {
// Compute the scale necessary to cause the weights to fit, and re-sum with
// that scale applied.
assert(Sum / UINT32_MAX < UINT32_MAX &&
"The sum of weights exceeds UINT32_MAX^2!");
uint32_t Scale = Sum / UINT32_MAX + 1;
for (auto I = Begin; I != End; ++I)
*I /= Scale;
Sum = std::accumulate(Begin, End, uint64_t(0));
}
// Eliminate zero weights.
auto ZeroWeightNum = std::count(Begin, End, 0u);
if (ZeroWeightNum > 0) {
// If all weights are zeros, replace them by 1.
if (Sum == 0)
std::fill(Begin, End, 1u);
else {
// We are converting zeros into ones, and here we need to make sure that
// after this the sum won't exceed UINT32_MAX.
if (Sum + ZeroWeightNum > UINT32_MAX) {
for (auto I = Begin; I != End; ++I)
*I /= 2;
ZeroWeightNum = std::count(Begin, End, 0u);
Sum = std::accumulate(Begin, End, uint64_t(0));
}
// Scale up non-zero weights and turn zero weights into ones.
uint64_t ScalingFactor = (UINT32_MAX - ZeroWeightNum) / Sum;
assert(ScalingFactor >= 1);
if (ScalingFactor > 1)
for (auto I = Begin; I != End; ++I)
*I *= ScalingFactor;
std::replace(Begin, End, 0u, 1u);
}
}
}
}
#endif