1 //===- BranchProbability.h - Branch Probability Wrapper ---------*- C++ -*-===//
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7 //===----------------------------------------------------------------------===//
9 // Definition of BranchProbability shared by IR and Machine Instructions.
11 //===----------------------------------------------------------------------===//
13 #ifndef LLVM_SUPPORT_BRANCHPROBABILITY_H
14 #define LLVM_SUPPORT_BRANCHPROBABILITY_H
16 #include "llvm/Support/DataTypes.h"
26 // This class represents Branch Probability as a non-negative fraction that is
27 // no greater than 1. It uses a fixed-point-like implementation, in which the
28 // denominator is always a constant value (here we use 1<<31 for maximum
30 class BranchProbability
{
34 // Denominator, which is a constant value.
35 static const uint32_t D
= 1u << 31;
36 static const uint32_t UnknownN
= UINT32_MAX
;
38 // Construct a BranchProbability with only numerator assuming the denominator
39 // is 1<<31. For internal use only.
40 explicit BranchProbability(uint32_t n
) : N(n
) {}
43 BranchProbability() : N(UnknownN
) {}
44 BranchProbability(uint32_t Numerator
, uint32_t Denominator
);
46 bool isZero() const { return N
== 0; }
47 bool isUnknown() const { return N
== UnknownN
; }
49 static BranchProbability
getZero() { return BranchProbability(0); }
50 static BranchProbability
getOne() { return BranchProbability(D
); }
51 static BranchProbability
getUnknown() { return BranchProbability(UnknownN
); }
52 // Create a BranchProbability object with the given numerator and 1<<31
54 static BranchProbability
getRaw(uint32_t N
) { return BranchProbability(N
); }
55 // Create a BranchProbability object from 64-bit integers.
56 static BranchProbability
getBranchProbability(uint64_t Numerator
,
57 uint64_t Denominator
);
59 // Normalize given probabilties so that the sum of them becomes approximate
61 template <class ProbabilityIter
>
62 static void normalizeProbabilities(ProbabilityIter Begin
,
65 uint32_t getNumerator() const { return N
; }
66 static uint32_t getDenominator() { return D
; }
68 // Return (1 - Probability).
69 BranchProbability
getCompl() const { return BranchProbability(D
- N
); }
71 raw_ostream
&print(raw_ostream
&OS
) const;
75 /// Scale a large integer.
77 /// Scales \c Num. Guarantees full precision. Returns the floor of the
80 /// \return \c Num times \c this.
81 uint64_t scale(uint64_t Num
) const;
83 /// Scale a large integer by the inverse.
85 /// Scales \c Num by the inverse of \c this. Guarantees full precision.
86 /// Returns the floor of the result.
88 /// \return \c Num divided by \c this.
89 uint64_t scaleByInverse(uint64_t Num
) const;
91 BranchProbability
&operator+=(BranchProbability RHS
) {
92 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
93 "Unknown probability cannot participate in arithmetics.");
94 // Saturate the result in case of overflow.
95 N
= (uint64_t(N
) + RHS
.N
> D
) ? D
: N
+ RHS
.N
;
99 BranchProbability
&operator-=(BranchProbability RHS
) {
100 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
101 "Unknown probability cannot participate in arithmetics.");
102 // Saturate the result in case of underflow.
103 N
= N
< RHS
.N
? 0 : N
- RHS
.N
;
107 BranchProbability
&operator*=(BranchProbability RHS
) {
108 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
109 "Unknown probability cannot participate in arithmetics.");
110 N
= (static_cast<uint64_t>(N
) * RHS
.N
+ D
/ 2) / D
;
114 BranchProbability
&operator*=(uint32_t RHS
) {
115 assert(N
!= UnknownN
&&
116 "Unknown probability cannot participate in arithmetics.");
117 N
= (uint64_t(N
) * RHS
> D
) ? D
: N
* RHS
;
121 BranchProbability
&operator/=(BranchProbability RHS
) {
122 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
123 "Unknown probability cannot participate in arithmetics.");
124 N
= (static_cast<uint64_t>(N
) * D
+ RHS
.N
/ 2) / RHS
.N
;
128 BranchProbability
&operator/=(uint32_t RHS
) {
129 assert(N
!= UnknownN
&&
130 "Unknown probability cannot participate in arithmetics.");
131 assert(RHS
> 0 && "The divider cannot be zero.");
136 BranchProbability
operator+(BranchProbability RHS
) const {
137 BranchProbability
Prob(*this);
142 BranchProbability
operator-(BranchProbability RHS
) const {
143 BranchProbability
Prob(*this);
148 BranchProbability
operator*(BranchProbability RHS
) const {
149 BranchProbability
Prob(*this);
154 BranchProbability
operator*(uint32_t RHS
) const {
155 BranchProbability
Prob(*this);
160 BranchProbability
operator/(BranchProbability RHS
) const {
161 BranchProbability
Prob(*this);
166 BranchProbability
operator/(uint32_t RHS
) const {
167 BranchProbability
Prob(*this);
172 bool operator==(BranchProbability RHS
) const { return N
== RHS
.N
; }
173 bool operator!=(BranchProbability RHS
) const { return !(*this == RHS
); }
175 bool operator<(BranchProbability RHS
) const {
176 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
177 "Unknown probability cannot participate in comparisons.");
181 bool operator>(BranchProbability RHS
) const {
182 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
183 "Unknown probability cannot participate in comparisons.");
187 bool operator<=(BranchProbability RHS
) const {
188 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
189 "Unknown probability cannot participate in comparisons.");
190 return !(RHS
< *this);
193 bool operator>=(BranchProbability RHS
) const {
194 assert(N
!= UnknownN
&& RHS
.N
!= UnknownN
&&
195 "Unknown probability cannot participate in comparisons.");
196 return !(*this < RHS
);
200 inline raw_ostream
&operator<<(raw_ostream
&OS
, BranchProbability Prob
) {
201 return Prob
.print(OS
);
204 template <class ProbabilityIter
>
205 void BranchProbability::normalizeProbabilities(ProbabilityIter Begin
,
206 ProbabilityIter End
) {
210 unsigned UnknownProbCount
= 0;
211 uint64_t Sum
= std::accumulate(Begin
, End
, uint64_t(0),
212 [&](uint64_t S
, const BranchProbability
&BP
) {
219 if (UnknownProbCount
> 0) {
220 BranchProbability ProbForUnknown
= BranchProbability::getZero();
221 // If the sum of all known probabilities is less than one, evenly distribute
222 // the complement of sum to unknown probabilities. Otherwise, set unknown
223 // probabilities to zeros and continue to normalize known probabilities.
224 if (Sum
< BranchProbability::getDenominator())
225 ProbForUnknown
= BranchProbability::getRaw(
226 (BranchProbability::getDenominator() - Sum
) / UnknownProbCount
);
228 std::replace_if(Begin
, End
,
229 [](const BranchProbability
&BP
) { return BP
.isUnknown(); },
232 if (Sum
<= BranchProbability::getDenominator())
237 BranchProbability
BP(1, std::distance(Begin
, End
));
238 std::fill(Begin
, End
, BP
);
242 for (auto I
= Begin
; I
!= End
; ++I
)
243 I
->N
= (I
->N
* uint64_t(D
) + Sum
/ 2) / Sum
;