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1//===- MemProfRadixTree.cpp - Radix tree encoded callstacks ---------------===//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-exception6//7//===----------------------------------------------------------------------===//8// This file contains logic that implements a space efficient radix tree9// encoding for callstacks used by MemProf.10//11//===----------------------------------------------------------------------===//12 13#include "llvm/ProfileData/MemProfRadixTree.h"14 15namespace llvm {16namespace memprof {17// Encode a call stack into RadixArray.  Return the starting index within18// RadixArray.  For each call stack we encode, we emit two or three components19// into RadixArray.  If a given call stack doesn't have a common prefix relative20// to the previous one, we emit:21//22// - the frames in the given call stack in the root-to-leaf order23//24// - the length of the given call stack25//26// If a given call stack has a non-empty common prefix relative to the previous27// one, we emit:28//29// - the relative location of the common prefix, encoded as a negative number.30//31// - a portion of the given call stack that's beyond the common prefix32//33// - the length of the given call stack, including the length of the common34//   prefix.35//36// The resulting RadixArray requires a somewhat unintuitive backward traversal37// to reconstruct a call stack -- read the call stack length and scan backward38// while collecting frames in the leaf to root order.  build, the caller of this39// function, reverses RadixArray in place so that we can reconstruct a call40// stack as if we were deserializing an array in a typical way -- the call stack41// length followed by the frames in the leaf-to-root order except that we need42// to handle pointers to parents along the way.43//44// To quickly determine the location of the common prefix within RadixArray,45// Indexes caches the indexes of the previous call stack's frames within46// RadixArray.47template <typename FrameIdTy>48LinearCallStackId CallStackRadixTreeBuilder<FrameIdTy>::encodeCallStack(49    const llvm::SmallVector<FrameIdTy> *CallStack,50    const llvm::SmallVector<FrameIdTy> *Prev,51    const llvm::DenseMap<FrameIdTy, LinearFrameId> *MemProfFrameIndexes) {52  // Compute the length of the common root prefix between Prev and CallStack.53  uint32_t CommonLen = 0;54  if (Prev) {55    auto Pos = std::mismatch(Prev->rbegin(), Prev->rend(), CallStack->rbegin(),56                             CallStack->rend());57    CommonLen = std::distance(CallStack->rbegin(), Pos.second);58  }59 60  // Drop the portion beyond CommonLen.61  assert(CommonLen <= Indexes.size());62  Indexes.resize(CommonLen);63 64  // Append a pointer to the parent.65  if (CommonLen) {66    uint32_t CurrentIndex = RadixArray.size();67    uint32_t ParentIndex = Indexes.back();68    // The offset to the parent must be negative because we are pointing to an69    // element we've already added to RadixArray.70    assert(ParentIndex < CurrentIndex);71    RadixArray.push_back(ParentIndex - CurrentIndex);72  }73 74  // Copy the part of the call stack beyond the common prefix to RadixArray.75  assert(CommonLen <= CallStack->size());76  for (FrameIdTy F : llvm::drop_begin(llvm::reverse(*CallStack), CommonLen)) {77    // Remember the index of F in RadixArray.78    Indexes.push_back(RadixArray.size());79    RadixArray.push_back(80        MemProfFrameIndexes ? MemProfFrameIndexes->find(F)->second : F);81  }82  assert(CallStack->size() == Indexes.size());83 84  // End with the call stack length.85  RadixArray.push_back(CallStack->size());86 87  // Return the index within RadixArray where we can start reconstructing a88  // given call stack from.89  return RadixArray.size() - 1;90}91 92template <typename FrameIdTy>93void CallStackRadixTreeBuilder<FrameIdTy>::build(94    llvm::MapVector<CallStackId, llvm::SmallVector<FrameIdTy>>95        &&MemProfCallStackData,96    const llvm::DenseMap<FrameIdTy, LinearFrameId> *MemProfFrameIndexes,97    llvm::DenseMap<FrameIdTy, FrameStat> &FrameHistogram) {98  // Take the vector portion of MemProfCallStackData.  The vector is exactly99  // what we need to sort.  Also, we no longer need its lookup capability.100  llvm::SmallVector<CSIdPair, 0> CallStacks = MemProfCallStackData.takeVector();101 102  // Return early if we have no work to do.103  if (CallStacks.empty()) {104    RadixArray.clear();105    CallStackPos.clear();106    return;107  }108 109  // Sorting the list of call stacks in the dictionary order is sufficient to110  // maximize the length of the common prefix between two adjacent call stacks111  // and thus minimize the length of RadixArray.  However, we go one step112  // further and try to reduce the number of times we follow pointers to parents113  // during deserilization.  Consider a poorly encoded radix tree:114  //115  // CallStackId 1:  f1 -> f2 -> f3116  //                  |117  // CallStackId 2:   +--- f4 -> f5118  //                        |119  // CallStackId 3:         +--> f6120  //121  // Here, f2 and f4 appear once and twice, respectively, in the call stacks.122  // Once we encode CallStackId 1 into RadixArray, every other call stack with123  // common prefix f1 ends up pointing to CallStackId 1.  Since CallStackId 3124  // share "f1 f4" with CallStackId 2, CallStackId 3 needs to follow pointers to125  // parents twice.126  //127  // We try to alleviate the situation by sorting the list of call stacks by128  // comparing the popularity of frames rather than the integer values of129  // FrameIds.  In the example above, f4 is more popular than f2, so we sort the130  // call stacks and encode them as:131  //132  // CallStackId 2:  f1 -- f4 -> f5133  //                  |     |134  // CallStackId 3:   |     +--> f6135  //                  |136  // CallStackId 1:   +--> f2 -> f3137  //138  // Notice that CallStackId 3 follows a pointer to a parent only once.139  //140  // All this is a quick-n-dirty trick to reduce the number of jumps.  The141  // proper way would be to compute the weight of each radix tree node -- how142  // many call stacks use a given radix tree node, and encode a radix tree from143  // the heaviest node first.  We do not do so because that's a lot of work.144  llvm::sort(CallStacks, [&](const CSIdPair &L, const CSIdPair &R) {145    // Call stacks are stored from leaf to root.  Perform comparisons from the146    // root.147    return std::lexicographical_compare(148        L.second.rbegin(), L.second.rend(), R.second.rbegin(), R.second.rend(),149        [&](FrameIdTy F1, FrameIdTy F2) {150          uint64_t H1 = FrameHistogram[F1].Count;151          uint64_t H2 = FrameHistogram[F2].Count;152          // Popular frames should come later because we encode call stacks from153          // the last one in the list.154          if (H1 != H2)155            return H1 < H2;156          // For sort stability.157          return F1 < F2;158        });159  });160 161  // Reserve some reasonable amount of storage.162  RadixArray.clear();163  RadixArray.reserve(CallStacks.size() * 8);164 165  // Indexes will grow as long as the longest call stack.166  Indexes.clear();167  Indexes.reserve(512);168 169  // CallStackPos will grow to exactly CallStacks.size() entries.170  CallStackPos.clear();171  CallStackPos.reserve(CallStacks.size());172 173  // Compute the radix array.  We encode one call stack at a time, computing the174  // longest prefix that's shared with the previous call stack we encode.  For175  // each call stack we encode, we remember a mapping from CallStackId to its176  // position within RadixArray.177  //178  // As an optimization, we encode from the last call stack in CallStacks to179  // reduce the number of times we follow pointers to the parents.  Consider the180  // list of call stacks that has been sorted in the dictionary order:181  //182  // Call Stack 1: F1183  // Call Stack 2: F1 -> F2184  // Call Stack 3: F1 -> F2 -> F3185  //186  // If we traversed CallStacks in the forward order, we would end up with a187  // radix tree like:188  //189  // Call Stack 1:  F1190  //                |191  // Call Stack 2:  +---> F2192  //                      |193  // Call Stack 3:        +---> F3194  //195  // Notice that each call stack jumps to the previous one.  However, if we196  // traverse CallStacks in the reverse order, then Call Stack 3 has the197  // complete call stack encoded without any pointers.  Call Stack 1 and 2 point198  // to appropriate prefixes of Call Stack 3.199  const llvm::SmallVector<FrameIdTy> *Prev = nullptr;200  for (const auto &[CSId, CallStack] : llvm::reverse(CallStacks)) {201    LinearCallStackId Pos =202        encodeCallStack(&CallStack, Prev, MemProfFrameIndexes);203    CallStackPos.insert({CSId, Pos});204    Prev = &CallStack;205  }206 207  // "RadixArray.size() - 1" below is problematic if RadixArray is empty.208  assert(!RadixArray.empty());209 210  // Reverse the radix array in place.  We do so mostly for intuitive211  // deserialization where we would read the length field and then the call212  // stack frames proper just like any other array deserialization, except213  // that we have occasional jumps to take advantage of prefixes.214  for (size_t I = 0, J = RadixArray.size() - 1; I < J; ++I, --J)215    std::swap(RadixArray[I], RadixArray[J]);216 217  // "Reverse" the indexes stored in CallStackPos.218  for (auto &[K, V] : CallStackPos)219    V = RadixArray.size() - 1 - V;220}221 222// Explicitly instantiate class with the utilized FrameIdTy.223template class LLVM_EXPORT_TEMPLATE CallStackRadixTreeBuilder<FrameId>;224template class LLVM_EXPORT_TEMPLATE CallStackRadixTreeBuilder<LinearFrameId>;225 226template <typename FrameIdTy>227llvm::DenseMap<FrameIdTy, FrameStat>228computeFrameHistogram(llvm::MapVector<CallStackId, llvm::SmallVector<FrameIdTy>>229                          &MemProfCallStackData) {230  llvm::DenseMap<FrameIdTy, FrameStat> Histogram;231 232  for (const auto &KV : MemProfCallStackData) {233    const auto &CS = KV.second;234    for (unsigned I = 0, E = CS.size(); I != E; ++I) {235      auto &S = Histogram[CS[I]];236      ++S.Count;237      S.PositionSum += I;238    }239  }240  return Histogram;241}242 243// Explicitly instantiate function with the utilized FrameIdTy.244template LLVM_ABI llvm::DenseMap<FrameId, FrameStat>245computeFrameHistogram<FrameId>(246    llvm::MapVector<CallStackId, llvm::SmallVector<FrameId>>247        &MemProfCallStackData);248template LLVM_ABI llvm::DenseMap<LinearFrameId, FrameStat>249computeFrameHistogram<LinearFrameId>(250    llvm::MapVector<CallStackId, llvm::SmallVector<LinearFrameId>>251        &MemProfCallStackData);252} // namespace memprof253} // namespace llvm254