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      1 //===- BlockFrequencyImplInfo.cpp - Block Frequency Info Implementation ---===//
      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/BlockFrequencyInfoImpl.h"
     14 #include "llvm/ADT/APInt.h"
     15 #include "llvm/ADT/DenseMap.h"
     16 #include "llvm/ADT/GraphTraits.h"
     17 #include "llvm/ADT/None.h"
     18 #include "llvm/ADT/SCCIterator.h"
     19 #include "llvm/Config/llvm-config.h"
     20 #include "llvm/IR/Function.h"
     21 #include "llvm/Support/BlockFrequency.h"
     22 #include "llvm/Support/BranchProbability.h"
     23 #include "llvm/Support/Compiler.h"
     24 #include "llvm/Support/Debug.h"
     25 #include "llvm/Support/ScaledNumber.h"
     26 #include "llvm/Support/MathExtras.h"
     27 #include "llvm/Support/raw_ostream.h"
     28 #include <algorithm>
     29 #include <cassert>
     30 #include <cstddef>
     31 #include <cstdint>
     32 #include <iterator>
     33 #include <list>
     34 #include <numeric>
     35 #include <utility>
     36 #include <vector>
     37 
     38 using namespace llvm;
     39 using namespace llvm::bfi_detail;
     40 
     41 #define DEBUG_TYPE "block-freq"
     42 
     43 namespace llvm {
     44 cl::opt<bool> CheckBFIUnknownBlockQueries(
     45     "check-bfi-unknown-block-queries",
     46     cl::init(false), cl::Hidden,
     47     cl::desc("Check if block frequency is queried for an unknown block "
     48              "for debugging missed BFI updates"));
     49 }
     50 
     51 ScaledNumber<uint64_t> BlockMass::toScaled() const {
     52   if (isFull())
     53     return ScaledNumber<uint64_t>(1, 0);
     54   return ScaledNumber<uint64_t>(getMass() + 1, -64);
     55 }
     56 
     57 #if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
     58 LLVM_DUMP_METHOD void BlockMass::dump() const { print(dbgs()); }
     59 #endif
     60 
     61 static char getHexDigit(int N) {
     62   assert(N < 16);
     63   if (N < 10)
     64     return '0' + N;
     65   return 'a' + N - 10;
     66 }
     67 
     68 raw_ostream &BlockMass::print(raw_ostream &OS) const {
     69   for (int Digits = 0; Digits < 16; ++Digits)
     70     OS << getHexDigit(Mass >> (60 - Digits * 4) & 0xf);
     71   return OS;
     72 }
     73 
     74 namespace {
     75 
     76 using BlockNode = BlockFrequencyInfoImplBase::BlockNode;
     77 using Distribution = BlockFrequencyInfoImplBase::Distribution;
     78 using WeightList = BlockFrequencyInfoImplBase::Distribution::WeightList;
     79 using Scaled64 = BlockFrequencyInfoImplBase::Scaled64;
     80 using LoopData = BlockFrequencyInfoImplBase::LoopData;
     81 using Weight = BlockFrequencyInfoImplBase::Weight;
     82 using FrequencyData = BlockFrequencyInfoImplBase::FrequencyData;
     83 
     84 /// Dithering mass distributer.
     85 ///
     86 /// This class splits up a single mass into portions by weight, dithering to
     87 /// spread out error.  No mass is lost.  The dithering precision depends on the
     88 /// precision of the product of \a BlockMass and \a BranchProbability.
     89 ///
     90 /// The distribution algorithm follows.
     91 ///
     92 ///  1. Initialize by saving the sum of the weights in \a RemWeight and the
     93 ///     mass to distribute in \a RemMass.
     94 ///
     95 ///  2. For each portion:
     96 ///
     97 ///      1. Construct a branch probability, P, as the portion's weight divided
     98 ///         by the current value of \a RemWeight.
     99 ///      2. Calculate the portion's mass as \a RemMass times P.
    100 ///      3. Update \a RemWeight and \a RemMass at each portion by subtracting
    101 ///         the current portion's weight and mass.
    102 struct DitheringDistributer {
    103   uint32_t RemWeight;
    104   BlockMass RemMass;
    105 
    106   DitheringDistributer(Distribution &Dist, const BlockMass &Mass);
    107 
    108   BlockMass takeMass(uint32_t Weight);
    109 };
    110 
    111 } // end anonymous namespace
    112 
    113 DitheringDistributer::DitheringDistributer(Distribution &Dist,
    114                                            const BlockMass &Mass) {
    115   Dist.normalize();
    116   RemWeight = Dist.Total;
    117   RemMass = Mass;
    118 }
    119 
    120 BlockMass DitheringDistributer::takeMass(uint32_t Weight) {
    121   assert(Weight && "invalid weight");
    122   assert(Weight <= RemWeight);
    123   BlockMass Mass = RemMass * BranchProbability(Weight, RemWeight);
    124 
    125   // Decrement totals (dither).
    126   RemWeight -= Weight;
    127   RemMass -= Mass;
    128   return Mass;
    129 }
    130 
    131 void Distribution::add(const BlockNode &Node, uint64_t Amount,
    132                        Weight::DistType Type) {
    133   assert(Amount && "invalid weight of 0");
    134   uint64_t NewTotal = Total + Amount;
    135 
    136   // Check for overflow.  It should be impossible to overflow twice.
    137   bool IsOverflow = NewTotal < Total;
    138   assert(!(DidOverflow && IsOverflow) && "unexpected repeated overflow");
    139   DidOverflow |= IsOverflow;
    140 
    141   // Update the total.
    142   Total = NewTotal;
    143 
    144   // Save the weight.
    145   Weights.push_back(Weight(Type, Node, Amount));
    146 }
    147 
    148 static void combineWeight(Weight &W, const Weight &OtherW) {
    149   assert(OtherW.TargetNode.isValid());
    150   if (!W.Amount) {
    151     W = OtherW;
    152     return;
    153   }
    154   assert(W.Type == OtherW.Type);
    155   assert(W.TargetNode == OtherW.TargetNode);
    156   assert(OtherW.Amount && "Expected non-zero weight");
    157   if (W.Amount > W.Amount + OtherW.Amount)
    158     // Saturate on overflow.
    159     W.Amount = UINT64_MAX;
    160   else
    161     W.Amount += OtherW.Amount;
    162 }
    163 
    164 static void combineWeightsBySorting(WeightList &Weights) {
    165   // Sort so edges to the same node are adjacent.
    166   llvm::sort(Weights, [](const Weight &L, const Weight &R) {
    167     return L.TargetNode < R.TargetNode;
    168   });
    169 
    170   // Combine adjacent edges.
    171   WeightList::iterator O = Weights.begin();
    172   for (WeightList::const_iterator I = O, L = O, E = Weights.end(); I != E;
    173        ++O, (I = L)) {
    174     *O = *I;
    175 
    176     // Find the adjacent weights to the same node.
    177     for (++L; L != E && I->TargetNode == L->TargetNode; ++L)
    178       combineWeight(*O, *L);
    179   }
    180 
    181   // Erase extra entries.
    182   Weights.erase(O, Weights.end());
    183 }
    184 
    185 static void combineWeightsByHashing(WeightList &Weights) {
    186   // Collect weights into a DenseMap.
    187   using HashTable = DenseMap<BlockNode::IndexType, Weight>;
    188 
    189   HashTable Combined(NextPowerOf2(2 * Weights.size()));
    190   for (const Weight &W : Weights)
    191     combineWeight(Combined[W.TargetNode.Index], W);
    192 
    193   // Check whether anything changed.
    194   if (Weights.size() == Combined.size())
    195     return;
    196 
    197   // Fill in the new weights.
    198   Weights.clear();
    199   Weights.reserve(Combined.size());
    200   for (const auto &I : Combined)
    201     Weights.push_back(I.second);
    202 }
    203 
    204 static void combineWeights(WeightList &Weights) {
    205   // Use a hash table for many successors to keep this linear.
    206   if (Weights.size() > 128) {
    207     combineWeightsByHashing(Weights);
    208     return;
    209   }
    210 
    211   combineWeightsBySorting(Weights);
    212 }
    213 
    214 static uint64_t shiftRightAndRound(uint64_t N, int Shift) {
    215   assert(Shift >= 0);
    216   assert(Shift < 64);
    217   if (!Shift)
    218     return N;
    219   return (N >> Shift) + (UINT64_C(1) & N >> (Shift - 1));
    220 }
    221 
    222 void Distribution::normalize() {
    223   // Early exit for termination nodes.
    224   if (Weights.empty())
    225     return;
    226 
    227   // Only bother if there are multiple successors.
    228   if (Weights.size() > 1)
    229     combineWeights(Weights);
    230 
    231   // Early exit when combined into a single successor.
    232   if (Weights.size() == 1) {
    233     Total = 1;
    234     Weights.front().Amount = 1;
    235     return;
    236   }
    237 
    238   // Determine how much to shift right so that the total fits into 32-bits.
    239   //
    240   // If we shift at all, shift by 1 extra.  Otherwise, the lower limit of 1
    241   // for each weight can cause a 32-bit overflow.
    242   int Shift = 0;
    243   if (DidOverflow)
    244     Shift = 33;
    245   else if (Total > UINT32_MAX)
    246     Shift = 33 - countLeadingZeros(Total);
    247 
    248   // Early exit if nothing needs to be scaled.
    249   if (!Shift) {
    250     // If we didn't overflow then combineWeights() shouldn't have changed the
    251     // sum of the weights, but let's double-check.
    252     assert(Total == std::accumulate(Weights.begin(), Weights.end(), UINT64_C(0),
    253                                     [](uint64_t Sum, const Weight &W) {
    254                       return Sum + W.Amount;
    255                     }) &&
    256            "Expected total to be correct");
    257     return;
    258   }
    259 
    260   // Recompute the total through accumulation (rather than shifting it) so that
    261   // it's accurate after shifting and any changes combineWeights() made above.
    262   Total = 0;
    263 
    264   // Sum the weights to each node and shift right if necessary.
    265   for (Weight &W : Weights) {
    266     // Scale down below UINT32_MAX.  Since Shift is larger than necessary, we
    267     // can round here without concern about overflow.
    268     assert(W.TargetNode.isValid());
    269     W.Amount = std::max(UINT64_C(1), shiftRightAndRound(W.Amount, Shift));
    270     assert(W.Amount <= UINT32_MAX);
    271 
    272     // Update the total.
    273     Total += W.Amount;
    274   }
    275   assert(Total <= UINT32_MAX);
    276 }
    277 
    278 void BlockFrequencyInfoImplBase::clear() {
    279   // Swap with a default-constructed std::vector, since std::vector<>::clear()
    280   // does not actually clear heap storage.
    281   std::vector<FrequencyData>().swap(Freqs);
    282   IsIrrLoopHeader.clear();
    283   std::vector<WorkingData>().swap(Working);
    284   Loops.clear();
    285 }
    286 
    287 /// Clear all memory not needed downstream.
    288 ///
    289 /// Releases all memory not used downstream.  In particular, saves Freqs.
    290 static void cleanup(BlockFrequencyInfoImplBase &BFI) {
    291   std::vector<FrequencyData> SavedFreqs(std::move(BFI.Freqs));
    292   SparseBitVector<> SavedIsIrrLoopHeader(std::move(BFI.IsIrrLoopHeader));
    293   BFI.clear();
    294   BFI.Freqs = std::move(SavedFreqs);
    295   BFI.IsIrrLoopHeader = std::move(SavedIsIrrLoopHeader);
    296 }
    297 
    298 bool BlockFrequencyInfoImplBase::addToDist(Distribution &Dist,
    299                                            const LoopData *OuterLoop,
    300                                            const BlockNode &Pred,
    301                                            const BlockNode &Succ,
    302                                            uint64_t Weight) {
    303   if (!Weight)
    304     Weight = 1;
    305 
    306   auto isLoopHeader = [&OuterLoop](const BlockNode &Node) {
    307     return OuterLoop && OuterLoop->isHeader(Node);
    308   };
    309 
    310   BlockNode Resolved = Working[Succ.Index].getResolvedNode();
    311 
    312 #ifndef NDEBUG
    313   auto debugSuccessor = [&](const char *Type) {
    314     dbgs() << "  =>"
    315            << " [" << Type << "] weight = " << Weight;
    316     if (!isLoopHeader(Resolved))
    317       dbgs() << ", succ = " << getBlockName(Succ);
    318     if (Resolved != Succ)
    319       dbgs() << ", resolved = " << getBlockName(Resolved);
    320     dbgs() << "\n";
    321   };
    322   (void)debugSuccessor;
    323 #endif
    324 
    325   if (isLoopHeader(Resolved)) {
    326     LLVM_DEBUG(debugSuccessor("backedge"));
    327     Dist.addBackedge(Resolved, Weight);
    328     return true;
    329   }
    330 
    331   if (Working[Resolved.Index].getContainingLoop() != OuterLoop) {
    332     LLVM_DEBUG(debugSuccessor("  exit  "));
    333     Dist.addExit(Resolved, Weight);
    334     return true;
    335   }
    336 
    337   if (Resolved < Pred) {
    338     if (!isLoopHeader(Pred)) {
    339       // If OuterLoop is an irreducible loop, we can't actually handle this.
    340       assert((!OuterLoop || !OuterLoop->isIrreducible()) &&
    341              "unhandled irreducible control flow");
    342 
    343       // Irreducible backedge.  Abort.
    344       LLVM_DEBUG(debugSuccessor("abort!!!"));
    345       return false;
    346     }
    347 
    348     // If "Pred" is a loop header, then this isn't really a backedge; rather,
    349     // OuterLoop must be irreducible.  These false backedges can come only from
    350     // secondary loop headers.
    351     assert(OuterLoop && OuterLoop->isIrreducible() && !isLoopHeader(Resolved) &&
    352            "unhandled irreducible control flow");
    353   }
    354 
    355   LLVM_DEBUG(debugSuccessor(" local  "));
    356   Dist.addLocal(Resolved, Weight);
    357   return true;
    358 }
    359 
    360 bool BlockFrequencyInfoImplBase::addLoopSuccessorsToDist(
    361     const LoopData *OuterLoop, LoopData &Loop, Distribution &Dist) {
    362   // Copy the exit map into Dist.
    363   for (const auto &I : Loop.Exits)
    364     if (!addToDist(Dist, OuterLoop, Loop.getHeader(), I.first,
    365                    I.second.getMass()))
    366       // Irreducible backedge.
    367       return false;
    368 
    369   return true;
    370 }
    371 
    372 /// Compute the loop scale for a loop.
    373 void BlockFrequencyInfoImplBase::computeLoopScale(LoopData &Loop) {
    374   // Compute loop scale.
    375   LLVM_DEBUG(dbgs() << "compute-loop-scale: " << getLoopName(Loop) << "\n");
    376 
    377   // Infinite loops need special handling. If we give the back edge an infinite
    378   // mass, they may saturate all the other scales in the function down to 1,
    379   // making all the other region temperatures look exactly the same. Choose an
    380   // arbitrary scale to avoid these issues.
    381   //
    382   // FIXME: An alternate way would be to select a symbolic scale which is later
    383   // replaced to be the maximum of all computed scales plus 1. This would
    384   // appropriately describe the loop as having a large scale, without skewing
    385   // the final frequency computation.
    386   const Scaled64 InfiniteLoopScale(1, 12);
    387 
    388   // LoopScale == 1 / ExitMass
    389   // ExitMass == HeadMass - BackedgeMass
    390   BlockMass TotalBackedgeMass;
    391   for (auto &Mass : Loop.BackedgeMass)
    392     TotalBackedgeMass += Mass;
    393   BlockMass ExitMass = BlockMass::getFull() - TotalBackedgeMass;
    394 
    395   // Block scale stores the inverse of the scale. If this is an infinite loop,
    396   // its exit mass will be zero. In this case, use an arbitrary scale for the
    397   // loop scale.
    398   Loop.Scale =
    399       ExitMass.isEmpty() ? InfiniteLoopScale : ExitMass.toScaled().inverse();
    400 
    401   LLVM_DEBUG(dbgs() << " - exit-mass = " << ExitMass << " ("
    402                     << BlockMass::getFull() << " - " << TotalBackedgeMass
    403                     << ")\n"
    404                     << " - scale = " << Loop.Scale << "\n");
    405 }
    406 
    407 /// Package up a loop.
    408 void BlockFrequencyInfoImplBase::packageLoop(LoopData &Loop) {
    409   LLVM_DEBUG(dbgs() << "packaging-loop: " << getLoopName(Loop) << "\n");
    410 
    411   // Clear the subloop exits to prevent quadratic memory usage.
    412   for (const BlockNode &M : Loop.Nodes) {
    413     if (auto *Loop = Working[M.Index].getPackagedLoop())
    414       Loop->Exits.clear();
    415     LLVM_DEBUG(dbgs() << " - node: " << getBlockName(M.Index) << "\n");
    416   }
    417   Loop.IsPackaged = true;
    418 }
    419 
    420 #ifndef NDEBUG
    421 static void debugAssign(const BlockFrequencyInfoImplBase &BFI,
    422                         const DitheringDistributer &D, const BlockNode &T,
    423                         const BlockMass &M, const char *Desc) {
    424   dbgs() << "  => assign " << M << " (" << D.RemMass << ")";
    425   if (Desc)
    426     dbgs() << " [" << Desc << "]";
    427   if (T.isValid())
    428     dbgs() << " to " << BFI.getBlockName(T);
    429   dbgs() << "\n";
    430 }
    431 #endif
    432 
    433 void BlockFrequencyInfoImplBase::distributeMass(const BlockNode &Source,
    434                                                 LoopData *OuterLoop,
    435                                                 Distribution &Dist) {
    436   BlockMass Mass = Working[Source.Index].getMass();
    437   LLVM_DEBUG(dbgs() << "  => mass:  " << Mass << "\n");
    438 
    439   // Distribute mass to successors as laid out in Dist.
    440   DitheringDistributer D(Dist, Mass);
    441 
    442   for (const Weight &W : Dist.Weights) {
    443     // Check for a local edge (non-backedge and non-exit).
    444     BlockMass Taken = D.takeMass(W.Amount);
    445     if (W.Type == Weight::Local) {
    446       Working[W.TargetNode.Index].getMass() += Taken;
    447       LLVM_DEBUG(debugAssign(*this, D, W.TargetNode, Taken, nullptr));
    448       continue;
    449     }
    450 
    451     // Backedges and exits only make sense if we're processing a loop.
    452     assert(OuterLoop && "backedge or exit outside of loop");
    453 
    454     // Check for a backedge.
    455     if (W.Type == Weight::Backedge) {
    456       OuterLoop->BackedgeMass[OuterLoop->getHeaderIndex(W.TargetNode)] += Taken;
    457       LLVM_DEBUG(debugAssign(*this, D, W.TargetNode, Taken, "back"));
    458       continue;
    459     }
    460 
    461     // This must be an exit.
    462     assert(W.Type == Weight::Exit);
    463     OuterLoop->Exits.push_back(std::make_pair(W.TargetNode, Taken));
    464     LLVM_DEBUG(debugAssign(*this, D, W.TargetNode, Taken, "exit"));
    465   }
    466 }
    467 
    468 static void convertFloatingToInteger(BlockFrequencyInfoImplBase &BFI,
    469                                      const Scaled64 &Min, const Scaled64 &Max) {
    470   // Scale the Factor to a size that creates integers.  Ideally, integers would
    471   // be scaled so that Max == UINT64_MAX so that they can be best
    472   // differentiated.  However, in the presence of large frequency values, small
    473   // frequencies are scaled down to 1, making it impossible to differentiate
    474   // small, unequal numbers. When the spread between Min and Max frequencies
    475   // fits well within MaxBits, we make the scale be at least 8.
    476   const unsigned MaxBits = 64;
    477   const unsigned SpreadBits = (Max / Min).lg();
    478   Scaled64 ScalingFactor;
    479   if (SpreadBits <= MaxBits - 3) {
    480     // If the values are small enough, make the scaling factor at least 8 to
    481     // allow distinguishing small values.
    482     ScalingFactor = Min.inverse();
    483     ScalingFactor <<= 3;
    484   } else {
    485     // If the values need more than MaxBits to be represented, saturate small
    486     // frequency values down to 1 by using a scaling factor that benefits large
    487     // frequency values.
    488     ScalingFactor = Scaled64(1, MaxBits) / Max;
    489   }
    490 
    491   // Translate the floats to integers.
    492   LLVM_DEBUG(dbgs() << "float-to-int: min = " << Min << ", max = " << Max
    493                     << ", factor = " << ScalingFactor << "\n");
    494   for (size_t Index = 0; Index < BFI.Freqs.size(); ++Index) {
    495     Scaled64 Scaled = BFI.Freqs[Index].Scaled * ScalingFactor;
    496     BFI.Freqs[Index].Integer = std::max(UINT64_C(1), Scaled.toInt<uint64_t>());
    497     LLVM_DEBUG(dbgs() << " - " << BFI.getBlockName(Index) << ": float = "
    498                       << BFI.Freqs[Index].Scaled << ", scaled = " << Scaled
    499                       << ", int = " << BFI.Freqs[Index].Integer << "\n");
    500   }
    501 }
    502 
    503 /// Unwrap a loop package.
    504 ///
    505 /// Visits all the members of a loop, adjusting their BlockData according to
    506 /// the loop's pseudo-node.
    507 static void unwrapLoop(BlockFrequencyInfoImplBase &BFI, LoopData &Loop) {
    508   LLVM_DEBUG(dbgs() << "unwrap-loop-package: " << BFI.getLoopName(Loop)
    509                     << ": mass = " << Loop.Mass << ", scale = " << Loop.Scale
    510                     << "\n");
    511   Loop.Scale *= Loop.Mass.toScaled();
    512   Loop.IsPackaged = false;
    513   LLVM_DEBUG(dbgs() << "  => combined-scale = " << Loop.Scale << "\n");
    514 
    515   // Propagate the head scale through the loop.  Since members are visited in
    516   // RPO, the head scale will be updated by the loop scale first, and then the
    517   // final head scale will be used for updated the rest of the members.
    518   for (const BlockNode &N : Loop.Nodes) {
    519     const auto &Working = BFI.Working[N.Index];
    520     Scaled64 &F = Working.isAPackage() ? Working.getPackagedLoop()->Scale
    521                                        : BFI.Freqs[N.Index].Scaled;
    522     Scaled64 New = Loop.Scale * F;
    523     LLVM_DEBUG(dbgs() << " - " << BFI.getBlockName(N) << ": " << F << " => "
    524                       << New << "\n");
    525     F = New;
    526   }
    527 }
    528 
    529 void BlockFrequencyInfoImplBase::unwrapLoops() {
    530   // Set initial frequencies from loop-local masses.
    531   for (size_t Index = 0; Index < Working.size(); ++Index)
    532     Freqs[Index].Scaled = Working[Index].Mass.toScaled();
    533 
    534   for (LoopData &Loop : Loops)
    535     unwrapLoop(*this, Loop);
    536 }
    537 
    538 void BlockFrequencyInfoImplBase::finalizeMetrics() {
    539   // Unwrap loop packages in reverse post-order, tracking min and max
    540   // frequencies.
    541   auto Min = Scaled64::getLargest();
    542   auto Max = Scaled64::getZero();
    543   for (size_t Index = 0; Index < Working.size(); ++Index) {
    544     // Update min/max scale.
    545     Min = std::min(Min, Freqs[Index].Scaled);
    546     Max = std::max(Max, Freqs[Index].Scaled);
    547   }
    548 
    549   // Convert to integers.
    550   convertFloatingToInteger(*this, Min, Max);
    551 
    552   // Clean up data structures.
    553   cleanup(*this);
    554 
    555   // Print out the final stats.
    556   LLVM_DEBUG(dump());
    557 }
    558 
    559 BlockFrequency
    560 BlockFrequencyInfoImplBase::getBlockFreq(const BlockNode &Node) const {
    561   if (!Node.isValid()) {
    562 #ifndef NDEBUG
    563     if (CheckBFIUnknownBlockQueries) {
    564       SmallString<256> Msg;
    565       raw_svector_ostream OS(Msg);
    566       OS << "*** Detected BFI query for unknown block " << getBlockName(Node);
    567       report_fatal_error(OS.str());
    568     }
    569 #endif
    570     return 0;
    571   }
    572   return Freqs[Node.Index].Integer;
    573 }
    574 
    575 Optional<uint64_t>
    576 BlockFrequencyInfoImplBase::getBlockProfileCount(const Function &F,
    577                                                  const BlockNode &Node,
    578                                                  bool AllowSynthetic) const {
    579   return getProfileCountFromFreq(F, getBlockFreq(Node).getFrequency(),
    580                                  AllowSynthetic);
    581 }
    582 
    583 Optional<uint64_t>
    584 BlockFrequencyInfoImplBase::getProfileCountFromFreq(const Function &F,
    585                                                     uint64_t Freq,
    586                                                     bool AllowSynthetic) const {
    587   auto EntryCount = F.getEntryCount(AllowSynthetic);
    588   if (!EntryCount)
    589     return None;
    590   // Use 128 bit APInt to do the arithmetic to avoid overflow.
    591   APInt BlockCount(128, EntryCount.getCount());
    592   APInt BlockFreq(128, Freq);
    593   APInt EntryFreq(128, getEntryFreq());
    594   BlockCount *= BlockFreq;
    595   // Rounded division of BlockCount by EntryFreq. Since EntryFreq is unsigned
    596   // lshr by 1 gives EntryFreq/2.
    597   BlockCount = (BlockCount + EntryFreq.lshr(1)).udiv(EntryFreq);
    598   return BlockCount.getLimitedValue();
    599 }
    600 
    601 bool
    602 BlockFrequencyInfoImplBase::isIrrLoopHeader(const BlockNode &Node) {
    603   if (!Node.isValid())
    604     return false;
    605   return IsIrrLoopHeader.test(Node.Index);
    606 }
    607 
    608 Scaled64
    609 BlockFrequencyInfoImplBase::getFloatingBlockFreq(const BlockNode &Node) const {
    610   if (!Node.isValid())
    611     return Scaled64::getZero();
    612   return Freqs[Node.Index].Scaled;
    613 }
    614 
    615 void BlockFrequencyInfoImplBase::setBlockFreq(const BlockNode &Node,
    616                                               uint64_t Freq) {
    617   assert(Node.isValid() && "Expected valid node");
    618   assert(Node.Index < Freqs.size() && "Expected legal index");
    619   Freqs[Node.Index].Integer = Freq;
    620 }
    621 
    622 std::string
    623 BlockFrequencyInfoImplBase::getBlockName(const BlockNode &Node) const {
    624   return {};
    625 }
    626 
    627 std::string
    628 BlockFrequencyInfoImplBase::getLoopName(const LoopData &Loop) const {
    629   return getBlockName(Loop.getHeader()) + (Loop.isIrreducible() ? "**" : "*");
    630 }
    631 
    632 raw_ostream &
    633 BlockFrequencyInfoImplBase::printBlockFreq(raw_ostream &OS,
    634                                            const BlockNode &Node) const {
    635   return OS << getFloatingBlockFreq(Node);
    636 }
    637 
    638 raw_ostream &
    639 BlockFrequencyInfoImplBase::printBlockFreq(raw_ostream &OS,
    640                                            const BlockFrequency &Freq) const {
    641   Scaled64 Block(Freq.getFrequency(), 0);
    642   Scaled64 Entry(getEntryFreq(), 0);
    643 
    644   return OS << Block / Entry;
    645 }
    646 
    647 void IrreducibleGraph::addNodesInLoop(const BFIBase::LoopData &OuterLoop) {
    648   Start = OuterLoop.getHeader();
    649   Nodes.reserve(OuterLoop.Nodes.size());
    650   for (auto N : OuterLoop.Nodes)
    651     addNode(N);
    652   indexNodes();
    653 }
    654 
    655 void IrreducibleGraph::addNodesInFunction() {
    656   Start = 0;
    657   for (uint32_t Index = 0; Index < BFI.Working.size(); ++Index)
    658     if (!BFI.Working[Index].isPackaged())
    659       addNode(Index);
    660   indexNodes();
    661 }
    662 
    663 void IrreducibleGraph::indexNodes() {
    664   for (auto &I : Nodes)
    665     Lookup[I.Node.Index] = &I;
    666 }
    667 
    668 void IrreducibleGraph::addEdge(IrrNode &Irr, const BlockNode &Succ,
    669                                const BFIBase::LoopData *OuterLoop) {
    670   if (OuterLoop && OuterLoop->isHeader(Succ))
    671     return;
    672   auto L = Lookup.find(Succ.Index);
    673   if (L == Lookup.end())
    674     return;
    675   IrrNode &SuccIrr = *L->second;
    676   Irr.Edges.push_back(&SuccIrr);
    677   SuccIrr.Edges.push_front(&Irr);
    678   ++SuccIrr.NumIn;
    679 }
    680 
    681 namespace llvm {
    682 
    683 template <> struct GraphTraits<IrreducibleGraph> {
    684   using GraphT = bfi_detail::IrreducibleGraph;
    685   using NodeRef = const GraphT::IrrNode *;
    686   using ChildIteratorType = GraphT::IrrNode::iterator;
    687 
    688   static NodeRef getEntryNode(const GraphT &G) { return G.StartIrr; }
    689   static ChildIteratorType child_begin(NodeRef N) { return N->succ_begin(); }
    690   static ChildIteratorType child_end(NodeRef N) { return N->succ_end(); }
    691 };
    692 
    693 } // end namespace llvm
    694 
    695 /// Find extra irreducible headers.
    696 ///
    697 /// Find entry blocks and other blocks with backedges, which exist when \c G
    698 /// contains irreducible sub-SCCs.
    699 static void findIrreducibleHeaders(
    700     const BlockFrequencyInfoImplBase &BFI,
    701     const IrreducibleGraph &G,
    702     const std::vector<const IrreducibleGraph::IrrNode *> &SCC,
    703     LoopData::NodeList &Headers, LoopData::NodeList &Others) {
    704   // Map from nodes in the SCC to whether it's an entry block.
    705   SmallDenseMap<const IrreducibleGraph::IrrNode *, bool, 8> InSCC;
    706 
    707   // InSCC also acts the set of nodes in the graph.  Seed it.
    708   for (const auto *I : SCC)
    709     InSCC[I] = false;
    710 
    711   for (auto I = InSCC.begin(), E = InSCC.end(); I != E; ++I) {
    712     auto &Irr = *I->first;
    713     for (const auto *P : make_range(Irr.pred_begin(), Irr.pred_end())) {
    714       if (InSCC.count(P))
    715         continue;
    716 
    717       // This is an entry block.
    718       I->second = true;
    719       Headers.push_back(Irr.Node);
    720       LLVM_DEBUG(dbgs() << "  => entry = " << BFI.getBlockName(Irr.Node)
    721                         << "\n");
    722       break;
    723     }
    724   }
    725   assert(Headers.size() >= 2 &&
    726          "Expected irreducible CFG; -loop-info is likely invalid");
    727   if (Headers.size() == InSCC.size()) {
    728     // Every block is a header.
    729     llvm::sort(Headers);
    730     return;
    731   }
    732 
    733   // Look for extra headers from irreducible sub-SCCs.
    734   for (const auto &I : InSCC) {
    735     // Entry blocks are already headers.
    736     if (I.second)
    737       continue;
    738 
    739     auto &Irr = *I.first;
    740     for (const auto *P : make_range(Irr.pred_begin(), Irr.pred_end())) {
    741       // Skip forward edges.
    742       if (P->Node < Irr.Node)
    743         continue;
    744 
    745       // Skip predecessors from entry blocks.  These can have inverted
    746       // ordering.
    747       if (InSCC.lookup(P))
    748         continue;
    749 
    750       // Store the extra header.
    751       Headers.push_back(Irr.Node);
    752       LLVM_DEBUG(dbgs() << "  => extra = " << BFI.getBlockName(Irr.Node)
    753                         << "\n");
    754       break;
    755     }
    756     if (Headers.back() == Irr.Node)
    757       // Added this as a header.
    758       continue;
    759 
    760     // This is not a header.
    761     Others.push_back(Irr.Node);
    762     LLVM_DEBUG(dbgs() << "  => other = " << BFI.getBlockName(Irr.Node) << "\n");
    763   }
    764   llvm::sort(Headers);
    765   llvm::sort(Others);
    766 }
    767 
    768 static void createIrreducibleLoop(
    769     BlockFrequencyInfoImplBase &BFI, const IrreducibleGraph &G,
    770     LoopData *OuterLoop, std::list<LoopData>::iterator Insert,
    771     const std::vector<const IrreducibleGraph::IrrNode *> &SCC) {
    772   // Translate the SCC into RPO.
    773   LLVM_DEBUG(dbgs() << " - found-scc\n");
    774 
    775   LoopData::NodeList Headers;
    776   LoopData::NodeList Others;
    777   findIrreducibleHeaders(BFI, G, SCC, Headers, Others);
    778 
    779   auto Loop = BFI.Loops.emplace(Insert, OuterLoop, Headers.begin(),
    780                                 Headers.end(), Others.begin(), Others.end());
    781 
    782   // Update loop hierarchy.
    783   for (const auto &N : Loop->Nodes)
    784     if (BFI.Working[N.Index].isLoopHeader())
    785       BFI.Working[N.Index].Loop->Parent = &*Loop;
    786     else
    787       BFI.Working[N.Index].Loop = &*Loop;
    788 }
    789 
    790 iterator_range<std::list<LoopData>::iterator>
    791 BlockFrequencyInfoImplBase::analyzeIrreducible(
    792     const IrreducibleGraph &G, LoopData *OuterLoop,
    793     std::list<LoopData>::iterator Insert) {
    794   assert((OuterLoop == nullptr) == (Insert == Loops.begin()));
    795   auto Prev = OuterLoop ? std::prev(Insert) : Loops.end();
    796 
    797   for (auto I = scc_begin(G); !I.isAtEnd(); ++I) {
    798     if (I->size() < 2)
    799       continue;
    800 
    801     // Translate the SCC into RPO.
    802     createIrreducibleLoop(*this, G, OuterLoop, Insert, *I);
    803   }
    804 
    805   if (OuterLoop)
    806     return make_range(std::next(Prev), Insert);
    807   return make_range(Loops.begin(), Insert);
    808 }
    809 
    810 void
    811 BlockFrequencyInfoImplBase::updateLoopWithIrreducible(LoopData &OuterLoop) {
    812   OuterLoop.Exits.clear();
    813   for (auto &Mass : OuterLoop.BackedgeMass)
    814     Mass = BlockMass::getEmpty();
    815   auto O = OuterLoop.Nodes.begin() + 1;
    816   for (auto I = O, E = OuterLoop.Nodes.end(); I != E; ++I)
    817     if (!Working[I->Index].isPackaged())
    818       *O++ = *I;
    819   OuterLoop.Nodes.erase(O, OuterLoop.Nodes.end());
    820 }
    821 
    822 void BlockFrequencyInfoImplBase::adjustLoopHeaderMass(LoopData &Loop) {
    823   assert(Loop.isIrreducible() && "this only makes sense on irreducible loops");
    824 
    825   // Since the loop has more than one header block, the mass flowing back into
    826   // each header will be different. Adjust the mass in each header loop to
    827   // reflect the masses flowing through back edges.
    828   //
    829   // To do this, we distribute the initial mass using the backedge masses
    830   // as weights for the distribution.
    831   BlockMass LoopMass = BlockMass::getFull();
    832   Distribution Dist;
    833 
    834   LLVM_DEBUG(dbgs() << "adjust-loop-header-mass:\n");
    835   for (uint32_t H = 0; H < Loop.NumHeaders; ++H) {
    836     auto &HeaderNode = Loop.Nodes[H];
    837     auto &BackedgeMass = Loop.BackedgeMass[Loop.getHeaderIndex(HeaderNode)];
    838     LLVM_DEBUG(dbgs() << " - Add back edge mass for node "
    839                       << getBlockName(HeaderNode) << ": " << BackedgeMass
    840                       << "\n");
    841     if (BackedgeMass.getMass() > 0)
    842       Dist.addLocal(HeaderNode, BackedgeMass.getMass());
    843     else
    844       LLVM_DEBUG(dbgs() << "   Nothing added. Back edge mass is zero\n");
    845   }
    846 
    847   DitheringDistributer D(Dist, LoopMass);
    848 
    849   LLVM_DEBUG(dbgs() << " Distribute loop mass " << LoopMass
    850                     << " to headers using above weights\n");
    851   for (const Weight &W : Dist.Weights) {
    852     BlockMass Taken = D.takeMass(W.Amount);
    853     assert(W.Type == Weight::Local && "all weights should be local");
    854     Working[W.TargetNode.Index].getMass() = Taken;
    855     LLVM_DEBUG(debugAssign(*this, D, W.TargetNode, Taken, nullptr));
    856   }
    857 }
    858 
    859 void BlockFrequencyInfoImplBase::distributeIrrLoopHeaderMass(Distribution &Dist) {
    860   BlockMass LoopMass = BlockMass::getFull();
    861   DitheringDistributer D(Dist, LoopMass);
    862   for (const Weight &W : Dist.Weights) {
    863     BlockMass Taken = D.takeMass(W.Amount);
    864     assert(W.Type == Weight::Local && "all weights should be local");
    865     Working[W.TargetNode.Index].getMass() = Taken;
    866     LLVM_DEBUG(debugAssign(*this, D, W.TargetNode, Taken, nullptr));
    867   }
    868 }
    869