1 //===- BranchProbabilityInfo.cpp - Branch Probability Analysis ------------===//
2 //
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
6 //
7 //===----------------------------------------------------------------------===//
8 //
9 // Loops should be simplified before this analysis.
10 //
11 //===----------------------------------------------------------------------===//
12 
13 #include "llvm/Analysis/BranchProbabilityInfo.h"
14 #include "llvm/ADT/PostOrderIterator.h"
15 #include "llvm/ADT/SCCIterator.h"
16 #include "llvm/ADT/STLExtras.h"
17 #include "llvm/ADT/SmallVector.h"
18 #include "llvm/Analysis/ConstantFolding.h"
19 #include "llvm/Analysis/LoopInfo.h"
20 #include "llvm/Analysis/PostDominators.h"
21 #include "llvm/Analysis/TargetLibraryInfo.h"
22 #include "llvm/IR/Attributes.h"
23 #include "llvm/IR/BasicBlock.h"
24 #include "llvm/IR/CFG.h"
25 #include "llvm/IR/Constants.h"
26 #include "llvm/IR/Dominators.h"
27 #include "llvm/IR/Function.h"
28 #include "llvm/IR/InstrTypes.h"
29 #include "llvm/IR/Instruction.h"
30 #include "llvm/IR/Instructions.h"
31 #include "llvm/IR/LLVMContext.h"
32 #include "llvm/IR/Metadata.h"
33 #include "llvm/IR/PassManager.h"
34 #include "llvm/IR/ProfDataUtils.h"
35 #include "llvm/IR/Type.h"
36 #include "llvm/IR/Value.h"
37 #include "llvm/InitializePasses.h"
38 #include "llvm/Pass.h"
39 #include "llvm/Support/BranchProbability.h"
40 #include "llvm/Support/Casting.h"
41 #include "llvm/Support/CommandLine.h"
42 #include "llvm/Support/Debug.h"
43 #include "llvm/Support/raw_ostream.h"
44 #include <cassert>
45 #include <cstdint>
46 #include <iterator>
47 #include <map>
48 #include <utility>
49 
50 using namespace llvm;
51 
52 #define DEBUG_TYPE "branch-prob"
53 
54 static cl::opt<bool> PrintBranchProb(
55     "print-bpi", cl::init(false), cl::Hidden,
56     cl::desc("Print the branch probability info."));
57 
58 cl::opt<std::string> PrintBranchProbFuncName(
59     "print-bpi-func-name", cl::Hidden,
60     cl::desc("The option to specify the name of the function "
61              "whose branch probability info is printed."));
62 
63 INITIALIZE_PASS_BEGIN(BranchProbabilityInfoWrapperPass, "branch-prob",
64                       "Branch Probability Analysis", false, true)
65 INITIALIZE_PASS_DEPENDENCY(LoopInfoWrapperPass)
66 INITIALIZE_PASS_DEPENDENCY(TargetLibraryInfoWrapperPass)
67 INITIALIZE_PASS_DEPENDENCY(DominatorTreeWrapperPass)
68 INITIALIZE_PASS_DEPENDENCY(PostDominatorTreeWrapperPass)
69 INITIALIZE_PASS_END(BranchProbabilityInfoWrapperPass, "branch-prob",
70                     "Branch Probability Analysis", false, true)
71 
72 BranchProbabilityInfoWrapperPass::BranchProbabilityInfoWrapperPass()
73     : FunctionPass(ID) {
74   initializeBranchProbabilityInfoWrapperPassPass(
75       *PassRegistry::getPassRegistry());
76 }
77 
78 char BranchProbabilityInfoWrapperPass::ID = 0;
79 
80 // Weights are for internal use only. They are used by heuristics to help to
81 // estimate edges' probability. Example:
82 //
83 // Using "Loop Branch Heuristics" we predict weights of edges for the
84 // block BB2.
85 //         ...
86 //          |
87 //          V
88 //         BB1<-+
89 //          |   |
90 //          |   | (Weight = 124)
91 //          V   |
92 //         BB2--+
93 //          |
94 //          | (Weight = 4)
95 //          V
96 //         BB3
97 //
98 // Probability of the edge BB2->BB1 = 124 / (124 + 4) = 0.96875
99 // Probability of the edge BB2->BB3 = 4 / (124 + 4) = 0.03125
100 static const uint32_t LBH_TAKEN_WEIGHT = 124;
101 static const uint32_t LBH_NONTAKEN_WEIGHT = 4;
102 
103 /// Unreachable-terminating branch taken probability.
104 ///
105 /// This is the probability for a branch being taken to a block that terminates
106 /// (eventually) in unreachable. These are predicted as unlikely as possible.
107 /// All reachable probability will proportionally share the remaining part.
108 static const BranchProbability UR_TAKEN_PROB = BranchProbability::getRaw(1);
109 
110 /// Heuristics and lookup tables for non-loop branches:
111 /// Pointer Heuristics (PH)
112 static const uint32_t PH_TAKEN_WEIGHT = 20;
113 static const uint32_t PH_NONTAKEN_WEIGHT = 12;
114 static const BranchProbability
115     PtrTakenProb(PH_TAKEN_WEIGHT, PH_TAKEN_WEIGHT + PH_NONTAKEN_WEIGHT);
116 static const BranchProbability
117     PtrUntakenProb(PH_NONTAKEN_WEIGHT, PH_TAKEN_WEIGHT + PH_NONTAKEN_WEIGHT);
118 
119 using ProbabilityList = SmallVector<BranchProbability>;
120 using ProbabilityTable = std::map<CmpInst::Predicate, ProbabilityList>;
121 
122 /// Pointer comparisons:
123 static const ProbabilityTable PointerTable{
124     {ICmpInst::ICMP_NE, {PtrTakenProb, PtrUntakenProb}}, /// p != q -> Likely
125     {ICmpInst::ICMP_EQ, {PtrUntakenProb, PtrTakenProb}}, /// p == q -> Unlikely
126 };
127 
128 /// Zero Heuristics (ZH)
129 static const uint32_t ZH_TAKEN_WEIGHT = 20;
130 static const uint32_t ZH_NONTAKEN_WEIGHT = 12;
131 static const BranchProbability
132     ZeroTakenProb(ZH_TAKEN_WEIGHT, ZH_TAKEN_WEIGHT + ZH_NONTAKEN_WEIGHT);
133 static const BranchProbability
134     ZeroUntakenProb(ZH_NONTAKEN_WEIGHT, ZH_TAKEN_WEIGHT + ZH_NONTAKEN_WEIGHT);
135 
136 /// Integer compares with 0:
137 static const ProbabilityTable ICmpWithZeroTable{
138     {CmpInst::ICMP_EQ, {ZeroUntakenProb, ZeroTakenProb}},  /// X == 0 -> Unlikely
139     {CmpInst::ICMP_NE, {ZeroTakenProb, ZeroUntakenProb}},  /// X != 0 -> Likely
140     {CmpInst::ICMP_SLT, {ZeroUntakenProb, ZeroTakenProb}}, /// X < 0  -> Unlikely
141     {CmpInst::ICMP_SGT, {ZeroTakenProb, ZeroUntakenProb}}, /// X > 0  -> Likely
142 };
143 
144 /// Integer compares with -1:
145 static const ProbabilityTable ICmpWithMinusOneTable{
146     {CmpInst::ICMP_EQ, {ZeroUntakenProb, ZeroTakenProb}},  /// X == -1 -> Unlikely
147     {CmpInst::ICMP_NE, {ZeroTakenProb, ZeroUntakenProb}},  /// X != -1 -> Likely
148     // InstCombine canonicalizes X >= 0 into X > -1
149     {CmpInst::ICMP_SGT, {ZeroTakenProb, ZeroUntakenProb}}, /// X >= 0  -> Likely
150 };
151 
152 /// Integer compares with 1:
153 static const ProbabilityTable ICmpWithOneTable{
154     // InstCombine canonicalizes X <= 0 into X < 1
155     {CmpInst::ICMP_SLT, {ZeroUntakenProb, ZeroTakenProb}}, /// X <= 0 -> Unlikely
156 };
157 
158 /// strcmp and similar functions return zero, negative, or positive, if the
159 /// first string is equal, less, or greater than the second. We consider it
160 /// likely that the strings are not equal, so a comparison with zero is
161 /// probably false, but also a comparison with any other number is also
162 /// probably false given that what exactly is returned for nonzero values is
163 /// not specified. Any kind of comparison other than equality we know
164 /// nothing about.
165 static const ProbabilityTable ICmpWithLibCallTable{
166     {CmpInst::ICMP_EQ, {ZeroUntakenProb, ZeroTakenProb}},
167     {CmpInst::ICMP_NE, {ZeroTakenProb, ZeroUntakenProb}},
168 };
169 
170 // Floating-Point Heuristics (FPH)
171 static const uint32_t FPH_TAKEN_WEIGHT = 20;
172 static const uint32_t FPH_NONTAKEN_WEIGHT = 12;
173 
174 /// This is the probability for an ordered floating point comparison.
175 static const uint32_t FPH_ORD_WEIGHT = 1024 * 1024 - 1;
176 /// This is the probability for an unordered floating point comparison, it means
177 /// one or two of the operands are NaN. Usually it is used to test for an
178 /// exceptional case, so the result is unlikely.
179 static const uint32_t FPH_UNO_WEIGHT = 1;
180 
181 static const BranchProbability FPOrdTakenProb(FPH_ORD_WEIGHT,
182                                               FPH_ORD_WEIGHT + FPH_UNO_WEIGHT);
183 static const BranchProbability
184     FPOrdUntakenProb(FPH_UNO_WEIGHT, FPH_ORD_WEIGHT + FPH_UNO_WEIGHT);
185 static const BranchProbability
186     FPTakenProb(FPH_TAKEN_WEIGHT, FPH_TAKEN_WEIGHT + FPH_NONTAKEN_WEIGHT);
187 static const BranchProbability
188     FPUntakenProb(FPH_NONTAKEN_WEIGHT, FPH_TAKEN_WEIGHT + FPH_NONTAKEN_WEIGHT);
189 
190 /// Floating-Point compares:
191 static const ProbabilityTable FCmpTable{
192     {FCmpInst::FCMP_ORD, {FPOrdTakenProb, FPOrdUntakenProb}}, /// !isnan -> Likely
193     {FCmpInst::FCMP_UNO, {FPOrdUntakenProb, FPOrdTakenProb}}, /// isnan -> Unlikely
194 };
195 
196 /// Set of dedicated "absolute" execution weights for a block. These weights are
197 /// meaningful relative to each other and their derivatives only.
198 enum class BlockExecWeight : std::uint32_t {
199   /// Special weight used for cases with exact zero probability.
200   ZERO = 0x0,
201   /// Minimal possible non zero weight.
202   LOWEST_NON_ZERO = 0x1,
203   /// Weight to an 'unreachable' block.
204   UNREACHABLE = ZERO,
205   /// Weight to a block containing non returning call.
206   NORETURN = LOWEST_NON_ZERO,
207   /// Weight to 'unwind' block of an invoke instruction.
208   UNWIND = LOWEST_NON_ZERO,
209   /// Weight to a 'cold' block. Cold blocks are the ones containing calls marked
210   /// with attribute 'cold'.
211   COLD = 0xffff,
212   /// Default weight is used in cases when there is no dedicated execution
213   /// weight set. It is not propagated through the domination line either.
214   DEFAULT = 0xfffff
215 };
216 
217 BranchProbabilityInfo::SccInfo::SccInfo(const Function &F) {
218   // Record SCC numbers of blocks in the CFG to identify irreducible loops.
219   // FIXME: We could only calculate this if the CFG is known to be irreducible
220   // (perhaps cache this info in LoopInfo if we can easily calculate it there?).
221   int SccNum = 0;
222   for (scc_iterator<const Function *> It = scc_begin(&F); !It.isAtEnd();
223        ++It, ++SccNum) {
224     // Ignore single-block SCCs since they either aren't loops or LoopInfo will
225     // catch them.
226     const std::vector<const BasicBlock *> &Scc = *It;
227     if (Scc.size() == 1)
228       continue;
229 
230     LLVM_DEBUG(dbgs() << "BPI: SCC " << SccNum << ":");
231     for (const auto *BB : Scc) {
232       LLVM_DEBUG(dbgs() << " " << BB->getName());
233       SccNums[BB] = SccNum;
234       calculateSccBlockType(BB, SccNum);
235     }
236     LLVM_DEBUG(dbgs() << "\n");
237   }
238 }
239 
240 int BranchProbabilityInfo::SccInfo::getSCCNum(const BasicBlock *BB) const {
241   auto SccIt = SccNums.find(BB);
242   if (SccIt == SccNums.end())
243     return -1;
244   return SccIt->second;
245 }
246 
247 void BranchProbabilityInfo::SccInfo::getSccEnterBlocks(
248     int SccNum, SmallVectorImpl<BasicBlock *> &Enters) const {
249 
250   for (auto MapIt : SccBlocks[SccNum]) {
251     const auto *BB = MapIt.first;
252     if (isSCCHeader(BB, SccNum))
253       for (const auto *Pred : predecessors(BB))
254         if (getSCCNum(Pred) != SccNum)
255           Enters.push_back(const_cast<BasicBlock *>(BB));
256   }
257 }
258 
259 void BranchProbabilityInfo::SccInfo::getSccExitBlocks(
260     int SccNum, SmallVectorImpl<BasicBlock *> &Exits) const {
261   for (auto MapIt : SccBlocks[SccNum]) {
262     const auto *BB = MapIt.first;
263     if (isSCCExitingBlock(BB, SccNum))
264       for (const auto *Succ : successors(BB))
265         if (getSCCNum(Succ) != SccNum)
266           Exits.push_back(const_cast<BasicBlock *>(Succ));
267   }
268 }
269 
270 uint32_t BranchProbabilityInfo::SccInfo::getSccBlockType(const BasicBlock *BB,
271                                                          int SccNum) const {
272   assert(getSCCNum(BB) == SccNum);
273 
274   assert(SccBlocks.size() > static_cast<unsigned>(SccNum) && "Unknown SCC");
275   const auto &SccBlockTypes = SccBlocks[SccNum];
276 
277   auto It = SccBlockTypes.find(BB);
278   if (It != SccBlockTypes.end()) {
279     return It->second;
280   }
281   return Inner;
282 }
283 
284 void BranchProbabilityInfo::SccInfo::calculateSccBlockType(const BasicBlock *BB,
285                                                            int SccNum) {
286   assert(getSCCNum(BB) == SccNum);
287   uint32_t BlockType = Inner;
288 
289   if (llvm::any_of(predecessors(BB), [&](const BasicBlock *Pred) {
290         // Consider any block that is an entry point to the SCC as
291         // a header.
292         return getSCCNum(Pred) != SccNum;
293       }))
294     BlockType |= Header;
295 
296   if (llvm::any_of(successors(BB), [&](const BasicBlock *Succ) {
297         return getSCCNum(Succ) != SccNum;
298       }))
299     BlockType |= Exiting;
300 
301   // Lazily compute the set of headers for a given SCC and cache the results
302   // in the SccHeaderMap.
303   if (SccBlocks.size() <= static_cast<unsigned>(SccNum))
304     SccBlocks.resize(SccNum + 1);
305   auto &SccBlockTypes = SccBlocks[SccNum];
306 
307   if (BlockType != Inner) {
308     bool IsInserted;
309     std::tie(std::ignore, IsInserted) =
310         SccBlockTypes.insert(std::make_pair(BB, BlockType));
311     assert(IsInserted && "Duplicated block in SCC");
312   }
313 }
314 
315 BranchProbabilityInfo::LoopBlock::LoopBlock(const BasicBlock *BB,
316                                             const LoopInfo &LI,
317                                             const SccInfo &SccI)
318     : BB(BB) {
319   LD.first = LI.getLoopFor(BB);
320   if (!LD.first) {
321     LD.second = SccI.getSCCNum(BB);
322   }
323 }
324 
325 bool BranchProbabilityInfo::isLoopEnteringEdge(const LoopEdge &Edge) const {
326   const auto &SrcBlock = Edge.first;
327   const auto &DstBlock = Edge.second;
328   return (DstBlock.getLoop() &&
329           !DstBlock.getLoop()->contains(SrcBlock.getLoop())) ||
330          // Assume that SCCs can't be nested.
331          (DstBlock.getSccNum() != -1 &&
332           SrcBlock.getSccNum() != DstBlock.getSccNum());
333 }
334 
335 bool BranchProbabilityInfo::isLoopExitingEdge(const LoopEdge &Edge) const {
336   return isLoopEnteringEdge({Edge.second, Edge.first});
337 }
338 
339 bool BranchProbabilityInfo::isLoopEnteringExitingEdge(
340     const LoopEdge &Edge) const {
341   return isLoopEnteringEdge(Edge) || isLoopExitingEdge(Edge);
342 }
343 
344 bool BranchProbabilityInfo::isLoopBackEdge(const LoopEdge &Edge) const {
345   const auto &SrcBlock = Edge.first;
346   const auto &DstBlock = Edge.second;
347   return SrcBlock.belongsToSameLoop(DstBlock) &&
348          ((DstBlock.getLoop() &&
349            DstBlock.getLoop()->getHeader() == DstBlock.getBlock()) ||
350           (DstBlock.getSccNum() != -1 &&
351            SccI->isSCCHeader(DstBlock.getBlock(), DstBlock.getSccNum())));
352 }
353 
354 void BranchProbabilityInfo::getLoopEnterBlocks(
355     const LoopBlock &LB, SmallVectorImpl<BasicBlock *> &Enters) const {
356   if (LB.getLoop()) {
357     auto *Header = LB.getLoop()->getHeader();
358     Enters.append(pred_begin(Header), pred_end(Header));
359   } else {
360     assert(LB.getSccNum() != -1 && "LB doesn't belong to any loop?");
361     SccI->getSccEnterBlocks(LB.getSccNum(), Enters);
362   }
363 }
364 
365 void BranchProbabilityInfo::getLoopExitBlocks(
366     const LoopBlock &LB, SmallVectorImpl<BasicBlock *> &Exits) const {
367   if (LB.getLoop()) {
368     LB.getLoop()->getExitBlocks(Exits);
369   } else {
370     assert(LB.getSccNum() != -1 && "LB doesn't belong to any loop?");
371     SccI->getSccExitBlocks(LB.getSccNum(), Exits);
372   }
373 }
374 
375 // Propagate existing explicit probabilities from either profile data or
376 // 'expect' intrinsic processing. Examine metadata against unreachable
377 // heuristic. The probability of the edge coming to unreachable block is
378 // set to min of metadata and unreachable heuristic.
379 bool BranchProbabilityInfo::calcMetadataWeights(const BasicBlock *BB) {
380   const Instruction *TI = BB->getTerminator();
381   assert(TI->getNumSuccessors() > 1 && "expected more than one successor!");
382   if (!(isa<BranchInst>(TI) || isa<SwitchInst>(TI) || isa<IndirectBrInst>(TI) ||
383         isa<InvokeInst>(TI) || isa<CallBrInst>(TI)))
384     return false;
385 
386   MDNode *WeightsNode = getValidBranchWeightMDNode(*TI);
387   if (!WeightsNode)
388     return false;
389 
390   // Check that the number of successors is manageable.
391   assert(TI->getNumSuccessors() < UINT32_MAX && "Too many successors");
392 
393   // Build up the final weights that will be used in a temporary buffer.
394   // Compute the sum of all weights to later decide whether they need to
395   // be scaled to fit in 32 bits.
396   uint64_t WeightSum = 0;
397   SmallVector<uint32_t, 2> Weights;
398   SmallVector<unsigned, 2> UnreachableIdxs;
399   SmallVector<unsigned, 2> ReachableIdxs;
400 
401   extractBranchWeights(WeightsNode, Weights);
402   for (unsigned I = 0, E = Weights.size(); I != E; ++I) {
403     WeightSum += Weights[I];
404     const LoopBlock SrcLoopBB = getLoopBlock(BB);
405     const LoopBlock DstLoopBB = getLoopBlock(TI->getSuccessor(I));
406     auto EstimatedWeight = getEstimatedEdgeWeight({SrcLoopBB, DstLoopBB});
407     if (EstimatedWeight &&
408         *EstimatedWeight <= static_cast<uint32_t>(BlockExecWeight::UNREACHABLE))
409       UnreachableIdxs.push_back(I);
410     else
411       ReachableIdxs.push_back(I);
412   }
413   assert(Weights.size() == TI->getNumSuccessors() && "Checked above");
414 
415   // If the sum of weights does not fit in 32 bits, scale every weight down
416   // accordingly.
417   uint64_t ScalingFactor =
418       (WeightSum > UINT32_MAX) ? WeightSum / UINT32_MAX + 1 : 1;
419 
420   if (ScalingFactor > 1) {
421     WeightSum = 0;
422     for (unsigned I = 0, E = TI->getNumSuccessors(); I != E; ++I) {
423       Weights[I] /= ScalingFactor;
424       WeightSum += Weights[I];
425     }
426   }
427   assert(WeightSum <= UINT32_MAX &&
428          "Expected weights to scale down to 32 bits");
429 
430   if (WeightSum == 0 || ReachableIdxs.size() == 0) {
431     for (unsigned I = 0, E = TI->getNumSuccessors(); I != E; ++I)
432       Weights[I] = 1;
433     WeightSum = TI->getNumSuccessors();
434   }
435 
436   // Set the probability.
437   SmallVector<BranchProbability, 2> BP;
438   for (unsigned I = 0, E = TI->getNumSuccessors(); I != E; ++I)
439     BP.push_back({ Weights[I], static_cast<uint32_t>(WeightSum) });
440 
441   // Examine the metadata against unreachable heuristic.
442   // If the unreachable heuristic is more strong then we use it for this edge.
443   if (UnreachableIdxs.size() == 0 || ReachableIdxs.size() == 0) {
444     setEdgeProbability(BB, BP);
445     return true;
446   }
447 
448   auto UnreachableProb = UR_TAKEN_PROB;
449   for (auto I : UnreachableIdxs)
450     if (UnreachableProb < BP[I]) {
451       BP[I] = UnreachableProb;
452     }
453 
454   // Sum of all edge probabilities must be 1.0. If we modified the probability
455   // of some edges then we must distribute the introduced difference over the
456   // reachable blocks.
457   //
458   // Proportional distribution: the relation between probabilities of the
459   // reachable edges is kept unchanged. That is for any reachable edges i and j:
460   //   newBP[i] / newBP[j] == oldBP[i] / oldBP[j] =>
461   //   newBP[i] / oldBP[i] == newBP[j] / oldBP[j] == K
462   // Where K is independent of i,j.
463   //   newBP[i] == oldBP[i] * K
464   // We need to find K.
465   // Make sum of all reachables of the left and right parts:
466   //   sum_of_reachable(newBP) == K * sum_of_reachable(oldBP)
467   // Sum of newBP must be equal to 1.0:
468   //   sum_of_reachable(newBP) + sum_of_unreachable(newBP) == 1.0 =>
469   //   sum_of_reachable(newBP) = 1.0 - sum_of_unreachable(newBP)
470   // Where sum_of_unreachable(newBP) is what has been just changed.
471   // Finally:
472   //   K == sum_of_reachable(newBP) / sum_of_reachable(oldBP) =>
473   //   K == (1.0 - sum_of_unreachable(newBP)) / sum_of_reachable(oldBP)
474   BranchProbability NewUnreachableSum = BranchProbability::getZero();
475   for (auto I : UnreachableIdxs)
476     NewUnreachableSum += BP[I];
477 
478   BranchProbability NewReachableSum =
479       BranchProbability::getOne() - NewUnreachableSum;
480 
481   BranchProbability OldReachableSum = BranchProbability::getZero();
482   for (auto I : ReachableIdxs)
483     OldReachableSum += BP[I];
484 
485   if (OldReachableSum != NewReachableSum) { // Anything to dsitribute?
486     if (OldReachableSum.isZero()) {
487       // If all oldBP[i] are zeroes then the proportional distribution results
488       // in all zero probabilities and the error stays big. In this case we
489       // evenly spread NewReachableSum over the reachable edges.
490       BranchProbability PerEdge = NewReachableSum / ReachableIdxs.size();
491       for (auto I : ReachableIdxs)
492         BP[I] = PerEdge;
493     } else {
494       for (auto I : ReachableIdxs) {
495         // We use uint64_t to avoid double rounding error of the following
496         // calculation: BP[i] = BP[i] * NewReachableSum / OldReachableSum
497         // The formula is taken from the private constructor
498         // BranchProbability(uint32_t Numerator, uint32_t Denominator)
499         uint64_t Mul = static_cast<uint64_t>(NewReachableSum.getNumerator()) *
500                        BP[I].getNumerator();
501         uint32_t Div = static_cast<uint32_t>(
502             divideNearest(Mul, OldReachableSum.getNumerator()));
503         BP[I] = BranchProbability::getRaw(Div);
504       }
505     }
506   }
507 
508   setEdgeProbability(BB, BP);
509 
510   return true;
511 }
512 
513 // Calculate Edge Weights using "Pointer Heuristics". Predict a comparison
514 // between two pointer or pointer and NULL will fail.
515 bool BranchProbabilityInfo::calcPointerHeuristics(const BasicBlock *BB) {
516   const BranchInst *BI = dyn_cast<BranchInst>(BB->getTerminator());
517   if (!BI || !BI->isConditional())
518     return false;
519 
520   Value *Cond = BI->getCondition();
521   ICmpInst *CI = dyn_cast<ICmpInst>(Cond);
522   if (!CI || !CI->isEquality())
523     return false;
524 
525   Value *LHS = CI->getOperand(0);
526 
527   if (!LHS->getType()->isPointerTy())
528     return false;
529 
530   assert(CI->getOperand(1)->getType()->isPointerTy());
531 
532   auto Search = PointerTable.find(CI->getPredicate());
533   if (Search == PointerTable.end())
534     return false;
535   setEdgeProbability(BB, Search->second);
536   return true;
537 }
538 
539 // Compute the unlikely successors to the block BB in the loop L, specifically
540 // those that are unlikely because this is a loop, and add them to the
541 // UnlikelyBlocks set.
542 static void
543 computeUnlikelySuccessors(const BasicBlock *BB, Loop *L,
544                           SmallPtrSetImpl<const BasicBlock*> &UnlikelyBlocks) {
545   // Sometimes in a loop we have a branch whose condition is made false by
546   // taking it. This is typically something like
547   //  int n = 0;
548   //  while (...) {
549   //    if (++n >= MAX) {
550   //      n = 0;
551   //    }
552   //  }
553   // In this sort of situation taking the branch means that at the very least it
554   // won't be taken again in the next iteration of the loop, so we should
555   // consider it less likely than a typical branch.
556   //
557   // We detect this by looking back through the graph of PHI nodes that sets the
558   // value that the condition depends on, and seeing if we can reach a successor
559   // block which can be determined to make the condition false.
560   //
561   // FIXME: We currently consider unlikely blocks to be half as likely as other
562   // blocks, but if we consider the example above the likelyhood is actually
563   // 1/MAX. We could therefore be more precise in how unlikely we consider
564   // blocks to be, but it would require more careful examination of the form
565   // of the comparison expression.
566   const BranchInst *BI = dyn_cast<BranchInst>(BB->getTerminator());
567   if (!BI || !BI->isConditional())
568     return;
569 
570   // Check if the branch is based on an instruction compared with a constant
571   CmpInst *CI = dyn_cast<CmpInst>(BI->getCondition());
572   if (!CI || !isa<Instruction>(CI->getOperand(0)) ||
573       !isa<Constant>(CI->getOperand(1)))
574     return;
575 
576   // Either the instruction must be a PHI, or a chain of operations involving
577   // constants that ends in a PHI which we can then collapse into a single value
578   // if the PHI value is known.
579   Instruction *CmpLHS = dyn_cast<Instruction>(CI->getOperand(0));
580   PHINode *CmpPHI = dyn_cast<PHINode>(CmpLHS);
581   Constant *CmpConst = dyn_cast<Constant>(CI->getOperand(1));
582   // Collect the instructions until we hit a PHI
583   SmallVector<BinaryOperator *, 1> InstChain;
584   while (!CmpPHI && CmpLHS && isa<BinaryOperator>(CmpLHS) &&
585          isa<Constant>(CmpLHS->getOperand(1))) {
586     // Stop if the chain extends outside of the loop
587     if (!L->contains(CmpLHS))
588       return;
589     InstChain.push_back(cast<BinaryOperator>(CmpLHS));
590     CmpLHS = dyn_cast<Instruction>(CmpLHS->getOperand(0));
591     if (CmpLHS)
592       CmpPHI = dyn_cast<PHINode>(CmpLHS);
593   }
594   if (!CmpPHI || !L->contains(CmpPHI))
595     return;
596 
597   // Trace the phi node to find all values that come from successors of BB
598   SmallPtrSet<PHINode*, 8> VisitedInsts;
599   SmallVector<PHINode*, 8> WorkList;
600   WorkList.push_back(CmpPHI);
601   VisitedInsts.insert(CmpPHI);
602   while (!WorkList.empty()) {
603     PHINode *P = WorkList.pop_back_val();
604     for (BasicBlock *B : P->blocks()) {
605       // Skip blocks that aren't part of the loop
606       if (!L->contains(B))
607         continue;
608       Value *V = P->getIncomingValueForBlock(B);
609       // If the source is a PHI add it to the work list if we haven't
610       // already visited it.
611       if (PHINode *PN = dyn_cast<PHINode>(V)) {
612         if (VisitedInsts.insert(PN).second)
613           WorkList.push_back(PN);
614         continue;
615       }
616       // If this incoming value is a constant and B is a successor of BB, then
617       // we can constant-evaluate the compare to see if it makes the branch be
618       // taken or not.
619       Constant *CmpLHSConst = dyn_cast<Constant>(V);
620       if (!CmpLHSConst || !llvm::is_contained(successors(BB), B))
621         continue;
622       // First collapse InstChain
623       const DataLayout &DL = BB->getModule()->getDataLayout();
624       for (Instruction *I : llvm::reverse(InstChain)) {
625         CmpLHSConst = ConstantFoldBinaryOpOperands(
626             I->getOpcode(), CmpLHSConst, cast<Constant>(I->getOperand(1)), DL);
627         if (!CmpLHSConst)
628           break;
629       }
630       if (!CmpLHSConst)
631         continue;
632       // Now constant-evaluate the compare
633       Constant *Result = ConstantExpr::getCompare(CI->getPredicate(),
634                                                   CmpLHSConst, CmpConst, true);
635       // If the result means we don't branch to the block then that block is
636       // unlikely.
637       if (Result &&
638           ((Result->isZeroValue() && B == BI->getSuccessor(0)) ||
639            (Result->isOneValue() && B == BI->getSuccessor(1))))
640         UnlikelyBlocks.insert(B);
641     }
642   }
643 }
644 
645 std::optional<uint32_t>
646 BranchProbabilityInfo::getEstimatedBlockWeight(const BasicBlock *BB) const {
647   auto WeightIt = EstimatedBlockWeight.find(BB);
648   if (WeightIt == EstimatedBlockWeight.end())
649     return std::nullopt;
650   return WeightIt->second;
651 }
652 
653 std::optional<uint32_t>
654 BranchProbabilityInfo::getEstimatedLoopWeight(const LoopData &L) const {
655   auto WeightIt = EstimatedLoopWeight.find(L);
656   if (WeightIt == EstimatedLoopWeight.end())
657     return std::nullopt;
658   return WeightIt->second;
659 }
660 
661 std::optional<uint32_t>
662 BranchProbabilityInfo::getEstimatedEdgeWeight(const LoopEdge &Edge) const {
663   // For edges entering a loop take weight of a loop rather than an individual
664   // block in the loop.
665   return isLoopEnteringEdge(Edge)
666              ? getEstimatedLoopWeight(Edge.second.getLoopData())
667              : getEstimatedBlockWeight(Edge.second.getBlock());
668 }
669 
670 template <class IterT>
671 std::optional<uint32_t> BranchProbabilityInfo::getMaxEstimatedEdgeWeight(
672     const LoopBlock &SrcLoopBB, iterator_range<IterT> Successors) const {
673   SmallVector<uint32_t, 4> Weights;
674   std::optional<uint32_t> MaxWeight;
675   for (const BasicBlock *DstBB : Successors) {
676     const LoopBlock DstLoopBB = getLoopBlock(DstBB);
677     auto Weight = getEstimatedEdgeWeight({SrcLoopBB, DstLoopBB});
678 
679     if (!Weight)
680       return std::nullopt;
681 
682     if (!MaxWeight || *MaxWeight < *Weight)
683       MaxWeight = Weight;
684   }
685 
686   return MaxWeight;
687 }
688 
689 // Updates \p LoopBB's weight and returns true. If \p LoopBB has already
690 // an associated weight it is unchanged and false is returned.
691 //
692 // Please note by the algorithm the weight is not expected to change once set
693 // thus 'false' status is used to track visited blocks.
694 bool BranchProbabilityInfo::updateEstimatedBlockWeight(
695     LoopBlock &LoopBB, uint32_t BBWeight,
696     SmallVectorImpl<BasicBlock *> &BlockWorkList,
697     SmallVectorImpl<LoopBlock> &LoopWorkList) {
698   BasicBlock *BB = LoopBB.getBlock();
699 
700   // In general, weight is assigned to a block when it has final value and
701   // can't/shouldn't be changed.  However, there are cases when a block
702   // inherently has several (possibly "contradicting") weights. For example,
703   // "unwind" block may also contain "cold" call. In that case the first
704   // set weight is favored and all consequent weights are ignored.
705   if (!EstimatedBlockWeight.insert({BB, BBWeight}).second)
706     return false;
707 
708   for (BasicBlock *PredBlock : predecessors(BB)) {
709     LoopBlock PredLoop = getLoopBlock(PredBlock);
710     // Add affected block/loop to a working list.
711     if (isLoopExitingEdge({PredLoop, LoopBB})) {
712       if (!EstimatedLoopWeight.count(PredLoop.getLoopData()))
713         LoopWorkList.push_back(PredLoop);
714     } else if (!EstimatedBlockWeight.count(PredBlock))
715       BlockWorkList.push_back(PredBlock);
716   }
717   return true;
718 }
719 
720 // Starting from \p BB traverse through dominator blocks and assign \p BBWeight
721 // to all such blocks that are post dominated by \BB. In other words to all
722 // blocks that the one is executed if and only if another one is executed.
723 // Importantly, we skip loops here for two reasons. First weights of blocks in
724 // a loop should be scaled by trip count (yet possibly unknown). Second there is
725 // no any value in doing that because that doesn't give any additional
726 // information regarding distribution of probabilities inside the loop.
727 // Exception is loop 'enter' and 'exit' edges that are handled in a special way
728 // at calcEstimatedHeuristics.
729 //
730 // In addition, \p WorkList is populated with basic blocks if at leas one
731 // successor has updated estimated weight.
732 void BranchProbabilityInfo::propagateEstimatedBlockWeight(
733     const LoopBlock &LoopBB, DominatorTree *DT, PostDominatorTree *PDT,
734     uint32_t BBWeight, SmallVectorImpl<BasicBlock *> &BlockWorkList,
735     SmallVectorImpl<LoopBlock> &LoopWorkList) {
736   const BasicBlock *BB = LoopBB.getBlock();
737   const auto *DTStartNode = DT->getNode(BB);
738   const auto *PDTStartNode = PDT->getNode(BB);
739 
740   // TODO: Consider propagating weight down the domination line as well.
741   for (const auto *DTNode = DTStartNode; DTNode != nullptr;
742        DTNode = DTNode->getIDom()) {
743     auto *DomBB = DTNode->getBlock();
744     // Consider blocks which lie on one 'line'.
745     if (!PDT->dominates(PDTStartNode, PDT->getNode(DomBB)))
746       // If BB doesn't post dominate DomBB it will not post dominate dominators
747       // of DomBB as well.
748       break;
749 
750     LoopBlock DomLoopBB = getLoopBlock(DomBB);
751     const LoopEdge Edge{DomLoopBB, LoopBB};
752     // Don't propagate weight to blocks belonging to different loops.
753     if (!isLoopEnteringExitingEdge(Edge)) {
754       if (!updateEstimatedBlockWeight(DomLoopBB, BBWeight, BlockWorkList,
755                                       LoopWorkList))
756         // If DomBB has weight set then all it's predecessors are already
757         // processed (since we propagate weight up to the top of IR each time).
758         break;
759     } else if (isLoopExitingEdge(Edge)) {
760       LoopWorkList.push_back(DomLoopBB);
761     }
762   }
763 }
764 
765 std::optional<uint32_t>
766 BranchProbabilityInfo::getInitialEstimatedBlockWeight(const BasicBlock *BB) {
767   // Returns true if \p BB has call marked with "NoReturn" attribute.
768   auto hasNoReturn = [&](const BasicBlock *BB) {
769     for (const auto &I : reverse(*BB))
770       if (const CallInst *CI = dyn_cast<CallInst>(&I))
771         if (CI->hasFnAttr(Attribute::NoReturn))
772           return true;
773 
774     return false;
775   };
776 
777   // Important note regarding the order of checks. They are ordered by weight
778   // from lowest to highest. Doing that allows to avoid "unstable" results
779   // when several conditions heuristics can be applied simultaneously.
780   if (isa<UnreachableInst>(BB->getTerminator()) ||
781       // If this block is terminated by a call to
782       // @llvm.experimental.deoptimize then treat it like an unreachable
783       // since it is expected to practically never execute.
784       // TODO: Should we actually treat as never returning call?
785       BB->getTerminatingDeoptimizeCall())
786     return hasNoReturn(BB)
787                ? static_cast<uint32_t>(BlockExecWeight::NORETURN)
788                : static_cast<uint32_t>(BlockExecWeight::UNREACHABLE);
789 
790   // Check if the block is 'unwind' handler of  some invoke instruction.
791   for (const auto *Pred : predecessors(BB))
792     if (Pred)
793       if (const auto *II = dyn_cast<InvokeInst>(Pred->getTerminator()))
794         if (II->getUnwindDest() == BB)
795           return static_cast<uint32_t>(BlockExecWeight::UNWIND);
796 
797   // Check if the block contains 'cold' call.
798   for (const auto &I : *BB)
799     if (const CallInst *CI = dyn_cast<CallInst>(&I))
800       if (CI->hasFnAttr(Attribute::Cold))
801         return static_cast<uint32_t>(BlockExecWeight::COLD);
802 
803   return std::nullopt;
804 }
805 
806 // Does RPO traversal over all blocks in \p F and assigns weights to
807 // 'unreachable', 'noreturn', 'cold', 'unwind' blocks. In addition it does its
808 // best to propagate the weight to up/down the IR.
809 void BranchProbabilityInfo::computeEestimateBlockWeight(
810     const Function &F, DominatorTree *DT, PostDominatorTree *PDT) {
811   SmallVector<BasicBlock *, 8> BlockWorkList;
812   SmallVector<LoopBlock, 8> LoopWorkList;
813 
814   // By doing RPO we make sure that all predecessors already have weights
815   // calculated before visiting theirs successors.
816   ReversePostOrderTraversal<const Function *> RPOT(&F);
817   for (const auto *BB : RPOT)
818     if (auto BBWeight = getInitialEstimatedBlockWeight(BB))
819       // If we were able to find estimated weight for the block set it to this
820       // block and propagate up the IR.
821       propagateEstimatedBlockWeight(getLoopBlock(BB), DT, PDT, *BBWeight,
822                                     BlockWorkList, LoopWorkList);
823 
824   // BlockWorklist/LoopWorkList contains blocks/loops with at least one
825   // successor/exit having estimated weight. Try to propagate weight to such
826   // blocks/loops from successors/exits.
827   // Process loops and blocks. Order is not important.
828   do {
829     while (!LoopWorkList.empty()) {
830       const LoopBlock LoopBB = LoopWorkList.pop_back_val();
831 
832       if (EstimatedLoopWeight.count(LoopBB.getLoopData()))
833         continue;
834 
835       SmallVector<BasicBlock *, 4> Exits;
836       getLoopExitBlocks(LoopBB, Exits);
837       auto LoopWeight = getMaxEstimatedEdgeWeight(
838           LoopBB, make_range(Exits.begin(), Exits.end()));
839 
840       if (LoopWeight) {
841         // If we never exit the loop then we can enter it once at maximum.
842         if (LoopWeight <= static_cast<uint32_t>(BlockExecWeight::UNREACHABLE))
843           LoopWeight = static_cast<uint32_t>(BlockExecWeight::LOWEST_NON_ZERO);
844 
845         EstimatedLoopWeight.insert({LoopBB.getLoopData(), *LoopWeight});
846         // Add all blocks entering the loop into working list.
847         getLoopEnterBlocks(LoopBB, BlockWorkList);
848       }
849     }
850 
851     while (!BlockWorkList.empty()) {
852       // We can reach here only if BlockWorkList is not empty.
853       const BasicBlock *BB = BlockWorkList.pop_back_val();
854       if (EstimatedBlockWeight.count(BB))
855         continue;
856 
857       // We take maximum over all weights of successors. In other words we take
858       // weight of "hot" path. In theory we can probably find a better function
859       // which gives higher accuracy results (comparing to "maximum") but I
860       // can't
861       // think of any right now. And I doubt it will make any difference in
862       // practice.
863       const LoopBlock LoopBB = getLoopBlock(BB);
864       auto MaxWeight = getMaxEstimatedEdgeWeight(LoopBB, successors(BB));
865 
866       if (MaxWeight)
867         propagateEstimatedBlockWeight(LoopBB, DT, PDT, *MaxWeight,
868                                       BlockWorkList, LoopWorkList);
869     }
870   } while (!BlockWorkList.empty() || !LoopWorkList.empty());
871 }
872 
873 // Calculate edge probabilities based on block's estimated weight.
874 // Note that gathered weights were not scaled for loops. Thus edges entering
875 // and exiting loops requires special processing.
876 bool BranchProbabilityInfo::calcEstimatedHeuristics(const BasicBlock *BB) {
877   assert(BB->getTerminator()->getNumSuccessors() > 1 &&
878          "expected more than one successor!");
879 
880   const LoopBlock LoopBB = getLoopBlock(BB);
881 
882   SmallPtrSet<const BasicBlock *, 8> UnlikelyBlocks;
883   uint32_t TC = LBH_TAKEN_WEIGHT / LBH_NONTAKEN_WEIGHT;
884   if (LoopBB.getLoop())
885     computeUnlikelySuccessors(BB, LoopBB.getLoop(), UnlikelyBlocks);
886 
887   // Changed to 'true' if at least one successor has estimated weight.
888   bool FoundEstimatedWeight = false;
889   SmallVector<uint32_t, 4> SuccWeights;
890   uint64_t TotalWeight = 0;
891   // Go over all successors of BB and put their weights into SuccWeights.
892   for (const BasicBlock *SuccBB : successors(BB)) {
893     std::optional<uint32_t> Weight;
894     const LoopBlock SuccLoopBB = getLoopBlock(SuccBB);
895     const LoopEdge Edge{LoopBB, SuccLoopBB};
896 
897     Weight = getEstimatedEdgeWeight(Edge);
898 
899     if (isLoopExitingEdge(Edge) &&
900         // Avoid adjustment of ZERO weight since it should remain unchanged.
901         Weight != static_cast<uint32_t>(BlockExecWeight::ZERO)) {
902       // Scale down loop exiting weight by trip count.
903       Weight = std::max(
904           static_cast<uint32_t>(BlockExecWeight::LOWEST_NON_ZERO),
905           Weight.value_or(static_cast<uint32_t>(BlockExecWeight::DEFAULT)) /
906               TC);
907     }
908     bool IsUnlikelyEdge = LoopBB.getLoop() && UnlikelyBlocks.contains(SuccBB);
909     if (IsUnlikelyEdge &&
910         // Avoid adjustment of ZERO weight since it should remain unchanged.
911         Weight != static_cast<uint32_t>(BlockExecWeight::ZERO)) {
912       // 'Unlikely' blocks have twice lower weight.
913       Weight = std::max(
914           static_cast<uint32_t>(BlockExecWeight::LOWEST_NON_ZERO),
915           Weight.value_or(static_cast<uint32_t>(BlockExecWeight::DEFAULT)) / 2);
916     }
917 
918     if (Weight)
919       FoundEstimatedWeight = true;
920 
921     auto WeightVal =
922         Weight.value_or(static_cast<uint32_t>(BlockExecWeight::DEFAULT));
923     TotalWeight += WeightVal;
924     SuccWeights.push_back(WeightVal);
925   }
926 
927   // If non of blocks have estimated weight bail out.
928   // If TotalWeight is 0 that means weight of each successor is 0 as well and
929   // equally likely. Bail out early to not deal with devision by zero.
930   if (!FoundEstimatedWeight || TotalWeight == 0)
931     return false;
932 
933   assert(SuccWeights.size() == succ_size(BB) && "Missed successor?");
934   const unsigned SuccCount = SuccWeights.size();
935 
936   // If the sum of weights does not fit in 32 bits, scale every weight down
937   // accordingly.
938   if (TotalWeight > UINT32_MAX) {
939     uint64_t ScalingFactor = TotalWeight / UINT32_MAX + 1;
940     TotalWeight = 0;
941     for (unsigned Idx = 0; Idx < SuccCount; ++Idx) {
942       SuccWeights[Idx] /= ScalingFactor;
943       if (SuccWeights[Idx] == static_cast<uint32_t>(BlockExecWeight::ZERO))
944         SuccWeights[Idx] =
945             static_cast<uint32_t>(BlockExecWeight::LOWEST_NON_ZERO);
946       TotalWeight += SuccWeights[Idx];
947     }
948     assert(TotalWeight <= UINT32_MAX && "Total weight overflows");
949   }
950 
951   // Finally set probabilities to edges according to estimated block weights.
952   SmallVector<BranchProbability, 4> EdgeProbabilities(
953       SuccCount, BranchProbability::getUnknown());
954 
955   for (unsigned Idx = 0; Idx < SuccCount; ++Idx) {
956     EdgeProbabilities[Idx] =
957         BranchProbability(SuccWeights[Idx], (uint32_t)TotalWeight);
958   }
959   setEdgeProbability(BB, EdgeProbabilities);
960   return true;
961 }
962 
963 bool BranchProbabilityInfo::calcZeroHeuristics(const BasicBlock *BB,
964                                                const TargetLibraryInfo *TLI) {
965   const BranchInst *BI = dyn_cast<BranchInst>(BB->getTerminator());
966   if (!BI || !BI->isConditional())
967     return false;
968 
969   Value *Cond = BI->getCondition();
970   ICmpInst *CI = dyn_cast<ICmpInst>(Cond);
971   if (!CI)
972     return false;
973 
974   auto GetConstantInt = [](Value *V) {
975     if (auto *I = dyn_cast<BitCastInst>(V))
976       return dyn_cast<ConstantInt>(I->getOperand(0));
977     return dyn_cast<ConstantInt>(V);
978   };
979 
980   Value *RHS = CI->getOperand(1);
981   ConstantInt *CV = GetConstantInt(RHS);
982   if (!CV)
983     return false;
984 
985   // If the LHS is the result of AND'ing a value with a single bit bitmask,
986   // we don't have information about probabilities.
987   if (Instruction *LHS = dyn_cast<Instruction>(CI->getOperand(0)))
988     if (LHS->getOpcode() == Instruction::And)
989       if (ConstantInt *AndRHS = GetConstantInt(LHS->getOperand(1)))
990         if (AndRHS->getValue().isPowerOf2())
991           return false;
992 
993   // Check if the LHS is the return value of a library function
994   LibFunc Func = NumLibFuncs;
995   if (TLI)
996     if (CallInst *Call = dyn_cast<CallInst>(CI->getOperand(0)))
997       if (Function *CalledFn = Call->getCalledFunction())
998         TLI->getLibFunc(*CalledFn, Func);
999 
1000   ProbabilityTable::const_iterator Search;
1001   if (Func == LibFunc_strcasecmp ||
1002       Func == LibFunc_strcmp ||
1003       Func == LibFunc_strncasecmp ||
1004       Func == LibFunc_strncmp ||
1005       Func == LibFunc_memcmp ||
1006       Func == LibFunc_bcmp) {
1007     Search = ICmpWithLibCallTable.find(CI->getPredicate());
1008     if (Search == ICmpWithLibCallTable.end())
1009       return false;
1010   } else if (CV->isZero()) {
1011     Search = ICmpWithZeroTable.find(CI->getPredicate());
1012     if (Search == ICmpWithZeroTable.end())
1013       return false;
1014   } else if (CV->isOne()) {
1015     Search = ICmpWithOneTable.find(CI->getPredicate());
1016     if (Search == ICmpWithOneTable.end())
1017       return false;
1018   } else if (CV->isMinusOne()) {
1019     Search = ICmpWithMinusOneTable.find(CI->getPredicate());
1020     if (Search == ICmpWithMinusOneTable.end())
1021       return false;
1022   } else {
1023     return false;
1024   }
1025 
1026   setEdgeProbability(BB, Search->second);
1027   return true;
1028 }
1029 
1030 bool BranchProbabilityInfo::calcFloatingPointHeuristics(const BasicBlock *BB) {
1031   const BranchInst *BI = dyn_cast<BranchInst>(BB->getTerminator());
1032   if (!BI || !BI->isConditional())
1033     return false;
1034 
1035   Value *Cond = BI->getCondition();
1036   FCmpInst *FCmp = dyn_cast<FCmpInst>(Cond);
1037   if (!FCmp)
1038     return false;
1039 
1040   ProbabilityList ProbList;
1041   if (FCmp->isEquality()) {
1042     ProbList = !FCmp->isTrueWhenEqual() ?
1043       // f1 == f2 -> Unlikely
1044       ProbabilityList({FPTakenProb, FPUntakenProb}) :
1045       // f1 != f2 -> Likely
1046       ProbabilityList({FPUntakenProb, FPTakenProb});
1047   } else {
1048     auto Search = FCmpTable.find(FCmp->getPredicate());
1049     if (Search == FCmpTable.end())
1050       return false;
1051     ProbList = Search->second;
1052   }
1053 
1054   setEdgeProbability(BB, ProbList);
1055   return true;
1056 }
1057 
1058 void BranchProbabilityInfo::releaseMemory() {
1059   Probs.clear();
1060   Handles.clear();
1061 }
1062 
1063 bool BranchProbabilityInfo::invalidate(Function &, const PreservedAnalyses &PA,
1064                                        FunctionAnalysisManager::Invalidator &) {
1065   // Check whether the analysis, all analyses on functions, or the function's
1066   // CFG have been preserved.
1067   auto PAC = PA.getChecker<BranchProbabilityAnalysis>();
1068   return !(PAC.preserved() || PAC.preservedSet<AllAnalysesOn<Function>>() ||
1069            PAC.preservedSet<CFGAnalyses>());
1070 }
1071 
1072 void BranchProbabilityInfo::print(raw_ostream &OS) const {
1073   OS << "---- Branch Probabilities ----\n";
1074   // We print the probabilities from the last function the analysis ran over,
1075   // or the function it is currently running over.
1076   assert(LastF && "Cannot print prior to running over a function");
1077   for (const auto &BI : *LastF) {
1078     for (const BasicBlock *Succ : successors(&BI))
1079       printEdgeProbability(OS << "  ", &BI, Succ);
1080   }
1081 }
1082 
1083 bool BranchProbabilityInfo::
1084 isEdgeHot(const BasicBlock *Src, const BasicBlock *Dst) const {
1085   // Hot probability is at least 4/5 = 80%
1086   // FIXME: Compare against a static "hot" BranchProbability.
1087   return getEdgeProbability(Src, Dst) > BranchProbability(4, 5);
1088 }
1089 
1090 /// Get the raw edge probability for the edge. If can't find it, return a
1091 /// default probability 1/N where N is the number of successors. Here an edge is
1092 /// specified using PredBlock and an
1093 /// index to the successors.
1094 BranchProbability
1095 BranchProbabilityInfo::getEdgeProbability(const BasicBlock *Src,
1096                                           unsigned IndexInSuccessors) const {
1097   auto I = Probs.find(std::make_pair(Src, IndexInSuccessors));
1098   assert((Probs.end() == Probs.find(std::make_pair(Src, 0))) ==
1099              (Probs.end() == I) &&
1100          "Probability for I-th successor must always be defined along with the "
1101          "probability for the first successor");
1102 
1103   if (I != Probs.end())
1104     return I->second;
1105 
1106   return {1, static_cast<uint32_t>(succ_size(Src))};
1107 }
1108 
1109 BranchProbability
1110 BranchProbabilityInfo::getEdgeProbability(const BasicBlock *Src,
1111                                           const_succ_iterator Dst) const {
1112   return getEdgeProbability(Src, Dst.getSuccessorIndex());
1113 }
1114 
1115 /// Get the raw edge probability calculated for the block pair. This returns the
1116 /// sum of all raw edge probabilities from Src to Dst.
1117 BranchProbability
1118 BranchProbabilityInfo::getEdgeProbability(const BasicBlock *Src,
1119                                           const BasicBlock *Dst) const {
1120   if (!Probs.count(std::make_pair(Src, 0)))
1121     return BranchProbability(llvm::count(successors(Src), Dst), succ_size(Src));
1122 
1123   auto Prob = BranchProbability::getZero();
1124   for (const_succ_iterator I = succ_begin(Src), E = succ_end(Src); I != E; ++I)
1125     if (*I == Dst)
1126       Prob += Probs.find(std::make_pair(Src, I.getSuccessorIndex()))->second;
1127 
1128   return Prob;
1129 }
1130 
1131 /// Set the edge probability for all edges at once.
1132 void BranchProbabilityInfo::setEdgeProbability(
1133     const BasicBlock *Src, const SmallVectorImpl<BranchProbability> &Probs) {
1134   assert(Src->getTerminator()->getNumSuccessors() == Probs.size());
1135   eraseBlock(Src); // Erase stale data if any.
1136   if (Probs.size() == 0)
1137     return; // Nothing to set.
1138 
1139   Handles.insert(BasicBlockCallbackVH(Src, this));
1140   uint64_t TotalNumerator = 0;
1141   for (unsigned SuccIdx = 0; SuccIdx < Probs.size(); ++SuccIdx) {
1142     this->Probs[std::make_pair(Src, SuccIdx)] = Probs[SuccIdx];
1143     LLVM_DEBUG(dbgs() << "set edge " << Src->getName() << " -> " << SuccIdx
1144                       << " successor probability to " << Probs[SuccIdx]
1145                       << "\n");
1146     TotalNumerator += Probs[SuccIdx].getNumerator();
1147   }
1148 
1149   // Because of rounding errors the total probability cannot be checked to be
1150   // 1.0 exactly. That is TotalNumerator == BranchProbability::getDenominator.
1151   // Instead, every single probability in Probs must be as accurate as possible.
1152   // This results in error 1/denominator at most, thus the total absolute error
1153   // should be within Probs.size / BranchProbability::getDenominator.
1154   assert(TotalNumerator <= BranchProbability::getDenominator() + Probs.size());
1155   assert(TotalNumerator >= BranchProbability::getDenominator() - Probs.size());
1156   (void)TotalNumerator;
1157 }
1158 
1159 void BranchProbabilityInfo::copyEdgeProbabilities(BasicBlock *Src,
1160                                                   BasicBlock *Dst) {
1161   eraseBlock(Dst); // Erase stale data if any.
1162   unsigned NumSuccessors = Src->getTerminator()->getNumSuccessors();
1163   assert(NumSuccessors == Dst->getTerminator()->getNumSuccessors());
1164   if (NumSuccessors == 0)
1165     return; // Nothing to set.
1166   if (!this->Probs.contains(std::make_pair(Src, 0)))
1167     return; // No probability is set for edges from Src. Keep the same for Dst.
1168 
1169   Handles.insert(BasicBlockCallbackVH(Dst, this));
1170   for (unsigned SuccIdx = 0; SuccIdx < NumSuccessors; ++SuccIdx) {
1171     auto Prob = this->Probs[std::make_pair(Src, SuccIdx)];
1172     this->Probs[std::make_pair(Dst, SuccIdx)] = Prob;
1173     LLVM_DEBUG(dbgs() << "set edge " << Dst->getName() << " -> " << SuccIdx
1174                       << " successor probability to " << Prob << "\n");
1175   }
1176 }
1177 
1178 void BranchProbabilityInfo::swapSuccEdgesProbabilities(const BasicBlock *Src) {
1179   assert(Src->getTerminator()->getNumSuccessors() == 2);
1180   if (!Probs.contains(std::make_pair(Src, 0)))
1181     return; // No probability is set for edges from Src
1182   assert(Probs.contains(std::make_pair(Src, 1)));
1183   std::swap(Probs[std::make_pair(Src, 0)], Probs[std::make_pair(Src, 1)]);
1184 }
1185 
1186 raw_ostream &
1187 BranchProbabilityInfo::printEdgeProbability(raw_ostream &OS,
1188                                             const BasicBlock *Src,
1189                                             const BasicBlock *Dst) const {
1190   const BranchProbability Prob = getEdgeProbability(Src, Dst);
1191   OS << "edge ";
1192   Src->printAsOperand(OS, false, Src->getModule());
1193   OS << " -> ";
1194   Dst->printAsOperand(OS, false, Dst->getModule());
1195   OS << " probability is " << Prob
1196      << (isEdgeHot(Src, Dst) ? " [HOT edge]\n" : "\n");
1197 
1198   return OS;
1199 }
1200 
1201 void BranchProbabilityInfo::eraseBlock(const BasicBlock *BB) {
1202   LLVM_DEBUG(dbgs() << "eraseBlock " << BB->getName() << "\n");
1203 
1204   // Note that we cannot use successors of BB because the terminator of BB may
1205   // have changed when eraseBlock is called as a BasicBlockCallbackVH callback.
1206   // Instead we remove prob data for the block by iterating successors by their
1207   // indices from 0 till the last which exists. There could not be prob data for
1208   // a pair (BB, N) if there is no data for (BB, N-1) because the data is always
1209   // set for all successors from 0 to M at once by the method
1210   // setEdgeProbability().
1211   Handles.erase(BasicBlockCallbackVH(BB, this));
1212   for (unsigned I = 0;; ++I) {
1213     auto MapI = Probs.find(std::make_pair(BB, I));
1214     if (MapI == Probs.end()) {
1215       assert(Probs.count(std::make_pair(BB, I + 1)) == 0 &&
1216              "Must be no more successors");
1217       return;
1218     }
1219     Probs.erase(MapI);
1220   }
1221 }
1222 
1223 void BranchProbabilityInfo::calculate(const Function &F, const LoopInfo &LoopI,
1224                                       const TargetLibraryInfo *TLI,
1225                                       DominatorTree *DT,
1226                                       PostDominatorTree *PDT) {
1227   LLVM_DEBUG(dbgs() << "---- Branch Probability Info : " << F.getName()
1228                     << " ----\n\n");
1229   LastF = &F; // Store the last function we ran on for printing.
1230   LI = &LoopI;
1231 
1232   SccI = std::make_unique<SccInfo>(F);
1233 
1234   assert(EstimatedBlockWeight.empty());
1235   assert(EstimatedLoopWeight.empty());
1236 
1237   std::unique_ptr<DominatorTree> DTPtr;
1238   std::unique_ptr<PostDominatorTree> PDTPtr;
1239 
1240   if (!DT) {
1241     DTPtr = std::make_unique<DominatorTree>(const_cast<Function &>(F));
1242     DT = DTPtr.get();
1243   }
1244 
1245   if (!PDT) {
1246     PDTPtr = std::make_unique<PostDominatorTree>(const_cast<Function &>(F));
1247     PDT = PDTPtr.get();
1248   }
1249 
1250   computeEestimateBlockWeight(F, DT, PDT);
1251 
1252   // Walk the basic blocks in post-order so that we can build up state about
1253   // the successors of a block iteratively.
1254   for (const auto *BB : post_order(&F.getEntryBlock())) {
1255     LLVM_DEBUG(dbgs() << "Computing probabilities for " << BB->getName()
1256                       << "\n");
1257     // If there is no at least two successors, no sense to set probability.
1258     if (BB->getTerminator()->getNumSuccessors() < 2)
1259       continue;
1260     if (calcMetadataWeights(BB))
1261       continue;
1262     if (calcEstimatedHeuristics(BB))
1263       continue;
1264     if (calcPointerHeuristics(BB))
1265       continue;
1266     if (calcZeroHeuristics(BB, TLI))
1267       continue;
1268     if (calcFloatingPointHeuristics(BB))
1269       continue;
1270   }
1271 
1272   EstimatedLoopWeight.clear();
1273   EstimatedBlockWeight.clear();
1274   SccI.reset();
1275 
1276   if (PrintBranchProb &&
1277       (PrintBranchProbFuncName.empty() ||
1278        F.getName().equals(PrintBranchProbFuncName))) {
1279     print(dbgs());
1280   }
1281 }
1282 
1283 void BranchProbabilityInfoWrapperPass::getAnalysisUsage(
1284     AnalysisUsage &AU) const {
1285   // We require DT so it's available when LI is available. The LI updating code
1286   // asserts that DT is also present so if we don't make sure that we have DT
1287   // here, that assert will trigger.
1288   AU.addRequired<DominatorTreeWrapperPass>();
1289   AU.addRequired<LoopInfoWrapperPass>();
1290   AU.addRequired<TargetLibraryInfoWrapperPass>();
1291   AU.addRequired<DominatorTreeWrapperPass>();
1292   AU.addRequired<PostDominatorTreeWrapperPass>();
1293   AU.setPreservesAll();
1294 }
1295 
1296 bool BranchProbabilityInfoWrapperPass::runOnFunction(Function &F) {
1297   const LoopInfo &LI = getAnalysis<LoopInfoWrapperPass>().getLoopInfo();
1298   const TargetLibraryInfo &TLI =
1299       getAnalysis<TargetLibraryInfoWrapperPass>().getTLI(F);
1300   DominatorTree &DT = getAnalysis<DominatorTreeWrapperPass>().getDomTree();
1301   PostDominatorTree &PDT =
1302       getAnalysis<PostDominatorTreeWrapperPass>().getPostDomTree();
1303   BPI.calculate(F, LI, &TLI, &DT, &PDT);
1304   return false;
1305 }
1306 
1307 void BranchProbabilityInfoWrapperPass::releaseMemory() { BPI.releaseMemory(); }
1308 
1309 void BranchProbabilityInfoWrapperPass::print(raw_ostream &OS,
1310                                              const Module *) const {
1311   BPI.print(OS);
1312 }
1313 
1314 AnalysisKey BranchProbabilityAnalysis::Key;
1315 BranchProbabilityInfo
1316 BranchProbabilityAnalysis::run(Function &F, FunctionAnalysisManager &AM) {
1317   auto &LI = AM.getResult<LoopAnalysis>(F);
1318   auto &TLI = AM.getResult<TargetLibraryAnalysis>(F);
1319   auto &DT = AM.getResult<DominatorTreeAnalysis>(F);
1320   auto &PDT = AM.getResult<PostDominatorTreeAnalysis>(F);
1321   BranchProbabilityInfo BPI;
1322   BPI.calculate(F, LI, &TLI, &DT, &PDT);
1323   return BPI;
1324 }
1325 
1326 PreservedAnalyses
1327 BranchProbabilityPrinterPass::run(Function &F, FunctionAnalysisManager &AM) {
1328   OS << "Printing analysis 'Branch Probability Analysis' for function '"
1329      << F.getName() << "':\n";
1330   AM.getResult<BranchProbabilityAnalysis>(F).print(OS);
1331   return PreservedAnalyses::all();
1332 }
1333