DenseMap.h

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//===- llvm/ADT/DenseMap.h - Dense probed hash table ------------*- C++ -*-===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
///
/// \file
/// This file defines the DenseMap class.
///
//===----------------------------------------------------------------------===//
 
#ifndef LLVM_ADT_DENSEMAP_H
#define LLVM_ADT_DENSEMAP_H
 
#include "llvm/ADT/ADL.h"
#include "llvm/ADT/DenseMapInfo.h"
#include "llvm/ADT/EpochTracker.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/STLForwardCompat.h"
#include "llvm/Support/AlignOf.h"
#include "llvm/Support/Compiler.h"
#include "llvm/Support/MathExtras.h"
#include "llvm/Support/MemAlloc.h"
#include "llvm/Support/ReverseIteration.h"
#include "llvm/Support/type_traits.h"
#include <algorithm>
#include <cassert>
#include <cstddef>
#include <cstring>
#include <initializer_list>
#include <iterator>
#include <new>
#include <type_traits>
#include <utility>
 
namespace llvm {
 
namespace detail {
 
// We extend a pair to allow users to override the bucket type with their own
// implementation without requiring two members.
template <typename KeyT, typename ValueT>
struct DenseMapPair : std::pair<KeyT, ValueT> {
  using std::pair<KeyT, ValueT>::pair;
 
  KeyT &getFirst() { return std::pair<KeyT, ValueT>::first; }
  const KeyT &getFirst() const { return std::pair<KeyT, ValueT>::first; }
  ValueT &getSecond() { return std::pair<KeyT, ValueT>::second; }
  const ValueT &getSecond() const { return std::pair<KeyT, ValueT>::second; }
};
 
} // end namespace detail
 
template <typename KeyT, typename ValueT,
          typename KeyInfoT = DenseMapInfo<KeyT>,
          typename Bucket = llvm::detail::DenseMapPair<KeyT, ValueT>,
          bool IsConst = false>
class DenseMapIterator;
 
template <typename DerivedT, typename KeyT, typename ValueT, typename KeyInfoT,
          typename BucketT>
class DenseMapBase : public DebugEpochBase {
  template <typename T>
  using const_arg_type_t = typename const_pointer_or_const_ref<T>::type;
 
public:
  using size_type = unsigned;
  using key_type = KeyT;
  using mapped_type = ValueT;
  using value_type = BucketT;
 
  using iterator = DenseMapIterator<KeyT, ValueT, KeyInfoT, BucketT>;
  using const_iterator =
      DenseMapIterator<KeyT, ValueT, KeyInfoT, BucketT, true>;
 
  [[nodiscard]] inline iterator begin() {
    return iterator::makeBegin(buckets(), empty(), *this);
  }
  [[nodiscard]] inline iterator end() {
    return iterator::makeEnd(buckets(), *this);
  }
  [[nodiscard]] inline const_iterator begin() const {
    return const_iterator::makeBegin(buckets(), empty(), *this);
  }
  [[nodiscard]] inline const_iterator end() const {
    return const_iterator::makeEnd(buckets(), *this);
  }
 
  // Return an iterator to iterate over keys in the map.
  [[nodiscard]] inline auto keys() {
    return map_range(*this, [](const BucketT &P) { return P.getFirst(); });
  }
 
  // Return an iterator to iterate over values in the map.
  [[nodiscard]] inline auto values() {
    return map_range(*this, [](const BucketT &P) { return P.getSecond(); });
  }
 
  [[nodiscard]] inline auto keys() const {
    return map_range(*this, [](const BucketT &P) { return P.getFirst(); });
  }
 
  [[nodiscard]] inline auto values() const {
    return map_range(*this, [](const BucketT &P) { return P.getSecond(); });
  }
 
  [[nodiscard]] bool empty() const { return getNumEntries() == 0; }
  [[nodiscard]] unsigned size() const { return getNumEntries(); }
 
  /// Grow the densemap so that it can contain at least \p NumEntries items
  /// before resizing again.
  void reserve(size_type NumEntries) {
    auto NumBuckets = getMinBucketToReserveForEntries(NumEntries);
    incrementEpoch();
    if (NumBuckets > getNumBuckets())
      grow(NumBuckets);
  }
 
  void clear() {
    incrementEpoch();
    if (getNumEntries() == 0 && getNumTombstones() == 0)
      return;
 
    // If the capacity of the array is huge, and the # elements used is small,
    // shrink the array.
    if (getNumEntries() * 4 < getNumBuckets() && getNumBuckets() > 64) {
      shrink_and_clear();
      return;
    }
 
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    if constexpr (std::is_trivially_destructible_v<ValueT>) {
      // Use a simpler loop when values don't need destruction.
      for (BucketT &B : buckets())
        B.getFirst() = EmptyKey;
    } else {
      const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
      unsigned NumEntries = getNumEntries();
      for (BucketT &B : buckets()) {
        if (!KeyInfoT::isEqual(B.getFirst(), EmptyKey)) {
          if (!KeyInfoT::isEqual(B.getFirst(), TombstoneKey)) {
            B.getSecond().~ValueT();
            --NumEntries;
          }
          B.getFirst() = EmptyKey;
        }
      }
      assert(NumEntries == 0 && "Node count imbalance!");
      (void)NumEntries;
    }
    setNumEntries(0);
    setNumTombstones(0);
  }
 
  void shrink_and_clear() {
    auto [Reallocate, NewNumBuckets] = derived().planShrinkAndClear();
    destroyAll();
    if (!Reallocate) {
      initEmpty();
      return;
    }
    derived().deallocateBuckets();
    derived().init(NewNumBuckets);
  }
 
  /// Return true if the specified key is in the map, false otherwise.
  [[nodiscard]] bool contains(const_arg_type_t<KeyT> Val) const {
    return doFind(Val) != nullptr;
  }
 
  /// Return 1 if the specified key is in the map, 0 otherwise.
  [[nodiscard]] size_type count(const_arg_type_t<KeyT> Val) const {
    return contains(Val) ? 1 : 0;
  }
 
  [[nodiscard]] iterator find(const_arg_type_t<KeyT> Val) {
    return find_as(Val);
  }
  [[nodiscard]] const_iterator find(const_arg_type_t<KeyT> Val) const {
    return find_as(Val);
  }
 
  /// Alternate version of find() which allows a different, and possibly
  /// less expensive, key type.
  /// The DenseMapInfo is responsible for supplying methods
  /// getHashValue(LookupKeyT) and isEqual(LookupKeyT, KeyT) for each key
  /// type used.
  template <class LookupKeyT>
  [[nodiscard]] iterator find_as(const LookupKeyT &Val) {
    if (BucketT *Bucket = doFind(Val))
      return makeIterator(Bucket);
    return end();
  }
  template <class LookupKeyT>
  [[nodiscard]] const_iterator find_as(const LookupKeyT &Val) const {
    if (const BucketT *Bucket = doFind(Val))
      return makeConstIterator(Bucket);
    return end();
  }
 
  /// lookup - Return the entry for the specified key, or a default
  /// constructed value if no such entry exists.
  [[nodiscard]] ValueT lookup(const_arg_type_t<KeyT> Val) const {
    if (const BucketT *Bucket = doFind(Val))
      return Bucket->getSecond();
    return ValueT();
  }
 
  // Return the entry with the specified key, or \p Default. This variant is
  // useful, because `lookup` cannot be used with non-default-constructible
  // values.
  template <typename U = std::remove_cv_t<ValueT>>
  [[nodiscard]] ValueT lookup_or(const_arg_type_t<KeyT> Val,
                                 U &&Default) const {
    if (const BucketT *Bucket = doFind(Val))
      return Bucket->getSecond();
    return Default;
  }
 
  /// at - Return the entry for the specified key, or abort if no such
  /// entry exists.
  [[nodiscard]] const ValueT &at(const_arg_type_t<KeyT> Val) const {
    auto Iter = this->find(std::move(Val));
    assert(Iter != this->end() && "DenseMap::at failed due to a missing key");
    return Iter->second;
  }
 
  // Inserts key,value pair into the map if the key isn't already in the map.
  // If the key is already in the map, it returns false and doesn't update the
  // value.
  std::pair<iterator, bool> insert(const std::pair<KeyT, ValueT> &KV) {
    return try_emplace_impl(KV.first, KV.second);
  }
 
  // Inserts key,value pair into the map if the key isn't already in the map.
  // If the key is already in the map, it returns false and doesn't update the
  // value.
  std::pair<iterator, bool> insert(std::pair<KeyT, ValueT> &&KV) {
    return try_emplace_impl(std::move(KV.first), std::move(KV.second));
  }
 
  // Inserts key,value pair into the map if the key isn't already in the map.
  // The value is constructed in-place if the key is not in the map, otherwise
  // it is not moved.
  template <typename... Ts>
  std::pair<iterator, bool> try_emplace(KeyT &&Key, Ts &&...Args) {
    return try_emplace_impl(std::move(Key), std::forward<Ts>(Args)...);
  }
 
  // Inserts key,value pair into the map if the key isn't already in the map.
  // The value is constructed in-place if the key is not in the map, otherwise
  // it is not moved.
  template <typename... Ts>
  std::pair<iterator, bool> try_emplace(const KeyT &Key, Ts &&...Args) {
    return try_emplace_impl(Key, std::forward<Ts>(Args)...);
  }
 
  /// Alternate version of insert() which allows a different, and possibly
  /// less expensive, key type.
  /// The DenseMapInfo is responsible for supplying methods
  /// getHashValue(LookupKeyT) and isEqual(LookupKeyT, KeyT) for each key
  /// type used.
  template <typename LookupKeyT>
  std::pair<iterator, bool> insert_as(std::pair<KeyT, ValueT> &&KV,
                                      const LookupKeyT &Val) {
    BucketT *TheBucket;
    if (LookupBucketFor(Val, TheBucket))
      return {makeIterator(TheBucket), false}; // Already in map.
 
    // Otherwise, insert the new element.
    TheBucket = findBucketForInsertion(Val, TheBucket);
    TheBucket->getFirst() = std::move(KV.first);
    ::new (&TheBucket->getSecond()) ValueT(std::move(KV.second));
    return {makeIterator(TheBucket), true};
  }
 
  /// insert - Range insertion of pairs.
  template <typename InputIt> void insert(InputIt I, InputIt E) {
    for (; I != E; ++I)
      insert(*I);
  }
 
  /// Inserts range of 'std::pair<KeyT, ValueT>' values into the map.
  template <typename Range> void insert_range(Range &&R) {
    insert(adl_begin(R), adl_end(R));
  }
 
  template <typename V>
  std::pair<iterator, bool> insert_or_assign(const KeyT &Key, V &&Val) {
    auto Ret = try_emplace(Key, std::forward<V>(Val));
    if (!Ret.second)
      Ret.first->second = std::forward<V>(Val);
    return Ret;
  }
 
  template <typename V>
  std::pair<iterator, bool> insert_or_assign(KeyT &&Key, V &&Val) {
    auto Ret = try_emplace(std::move(Key), std::forward<V>(Val));
    if (!Ret.second)
      Ret.first->second = std::forward<V>(Val);
    return Ret;
  }
 
  template <typename... Ts>
  std::pair<iterator, bool> emplace_or_assign(const KeyT &Key, Ts &&...Args) {
    auto Ret = try_emplace(Key, std::forward<Ts>(Args)...);
    if (!Ret.second)
      Ret.first->second = ValueT(std::forward<Ts>(Args)...);
    return Ret;
  }
 
  template <typename... Ts>
  std::pair<iterator, bool> emplace_or_assign(KeyT &&Key, Ts &&...Args) {
    auto Ret = try_emplace(std::move(Key), std::forward<Ts>(Args)...);
    if (!Ret.second)
      Ret.first->second = ValueT(std::forward<Ts>(Args)...);
    return Ret;
  }
 
  bool erase(const KeyT &Val) {
    BucketT *TheBucket = doFind(Val);
    if (!TheBucket)
      return false; // not in map.
 
    TheBucket->getSecond().~ValueT();
    TheBucket->getFirst() = KeyInfoT::getTombstoneKey();
    decrementNumEntries();
    incrementNumTombstones();
    return true;
  }
  void erase(iterator I) {
    BucketT *TheBucket = &*I;
    TheBucket->getSecond().~ValueT();
    TheBucket->getFirst() = KeyInfoT::getTombstoneKey();
    decrementNumEntries();
    incrementNumTombstones();
  }
 
  ValueT &operator[](const KeyT &Key) {
    return lookupOrInsertIntoBucket(Key).first->second;
  }
 
  ValueT &operator[](KeyT &&Key) {
    return lookupOrInsertIntoBucket(std::move(Key)).first->second;
  }
 
  /// isPointerIntoBucketsArray - Return true if the specified pointer points
  /// somewhere into the DenseMap's array of buckets (i.e. either to a key or
  /// value in the DenseMap).
  [[nodiscard]] bool isPointerIntoBucketsArray(const void *Ptr) const {
    return Ptr >= getBuckets() && Ptr < getBucketsEnd();
  }
 
  /// getPointerIntoBucketsArray() - Return an opaque pointer into the buckets
  /// array.  In conjunction with the previous method, this can be used to
  /// determine whether an insertion caused the DenseMap to reallocate.
  [[nodiscard]] const void *getPointerIntoBucketsArray() const {
    return getBuckets();
  }
 
protected:
  DenseMapBase() = default;
 
  void destroyAll() {
    // No need to iterate through the buckets if both KeyT and ValueT are
    // trivially destructible.
    if constexpr (std::is_trivially_destructible_v<KeyT> &&
                  std::is_trivially_destructible_v<ValueT>)
      return;
 
    if (getNumBuckets() == 0) // Nothing to do.
      return;
 
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
    for (BucketT &B : buckets()) {
      if (!KeyInfoT::isEqual(B.getFirst(), EmptyKey) &&
          !KeyInfoT::isEqual(B.getFirst(), TombstoneKey))
        B.getSecond().~ValueT();
      B.getFirst().~KeyT();
    }
  }
 
  void initEmpty() {
    static_assert(std::is_base_of_v<DenseMapBase, DerivedT>,
                  "Must pass the derived type to this template!");
    setNumEntries(0);
    setNumTombstones(0);
 
    assert((getNumBuckets() & (getNumBuckets() - 1)) == 0 &&
           "# initial buckets must be a power of two!");
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    for (BucketT &B : buckets())
      ::new (&B.getFirst()) KeyT(EmptyKey);
  }
 
  /// Returns the number of buckets to allocate to ensure that the DenseMap can
  /// accommodate \p NumEntries without need to grow().
  unsigned getMinBucketToReserveForEntries(unsigned NumEntries) {
    // Ensure that "NumEntries * 4 < NumBuckets * 3"
    if (NumEntries == 0)
      return 0;
    // +1 is required because of the strict inequality.
    // For example, if NumEntries is 48, we need to return 128.
    return NextPowerOf2(NumEntries * 4 / 3 + 1);
  }
 
  void moveFromOldBuckets(iterator_range<BucketT *> OldBuckets) {
    initEmpty();
 
    // Insert all the old elements.
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
    for (BucketT &B : OldBuckets) {
      if (!KeyInfoT::isEqual(B.getFirst(), EmptyKey) &&
          !KeyInfoT::isEqual(B.getFirst(), TombstoneKey)) {
        // Insert the key/value into the new table.
        BucketT *DestBucket;
        bool FoundVal = LookupBucketFor(B.getFirst(), DestBucket);
        (void)FoundVal; // silence warning.
        assert(!FoundVal && "Key already in new map?");
        DestBucket->getFirst() = std::move(B.getFirst());
        ::new (&DestBucket->getSecond()) ValueT(std::move(B.getSecond()));
        incrementNumEntries();
 
        // Free the value.
        B.getSecond().~ValueT();
      }
      B.getFirst().~KeyT();
    }
  }
 
  void copyFrom(const DerivedT &other) {
    this->destroyAll();
    derived().deallocateBuckets();
    setNumEntries(0);
    setNumTombstones(0);
    if (!derived().allocateBuckets(other.getNumBuckets())) {
      // The bucket list is empty.  No work to do.
      return;
    }
 
    assert(&other != this);
    assert(getNumBuckets() == other.getNumBuckets());
 
    setNumEntries(other.getNumEntries());
    setNumTombstones(other.getNumTombstones());
 
    BucketT *Buckets = getBuckets();
    const BucketT *OtherBuckets = other.getBuckets();
    const size_t NumBuckets = getNumBuckets();
    if constexpr (std::is_trivially_copyable_v<KeyT> &&
                  std::is_trivially_copyable_v<ValueT>) {
      memcpy(reinterpret_cast<void *>(Buckets), OtherBuckets,
             NumBuckets * sizeof(BucketT));
    } else {
      const KeyT EmptyKey = KeyInfoT::getEmptyKey();
      const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
      for (size_t I = 0; I < NumBuckets; ++I) {
        ::new (&Buckets[I].getFirst()) KeyT(OtherBuckets[I].getFirst());
        if (!KeyInfoT::isEqual(Buckets[I].getFirst(), EmptyKey) &&
            !KeyInfoT::isEqual(Buckets[I].getFirst(), TombstoneKey))
          ::new (&Buckets[I].getSecond()) ValueT(OtherBuckets[I].getSecond());
      }
    }
  }
 
private:
  DerivedT &derived() { return *static_cast<DerivedT *>(this); }
  const DerivedT &derived() const {
    return *static_cast<const DerivedT *>(this);
  }
 
  template <typename KeyArgT, typename... Ts>
  std::pair<BucketT *, bool> lookupOrInsertIntoBucket(KeyArgT &&Key,
                                                      Ts &&...Args) {
    BucketT *TheBucket = nullptr;
    if (LookupBucketFor(Key, TheBucket))
      return {TheBucket, false}; // Already in the map.
 
    // Otherwise, insert the new element.
    TheBucket = findBucketForInsertion(Key, TheBucket);
    TheBucket->getFirst() = std::forward<KeyArgT>(Key);
    ::new (&TheBucket->getSecond()) ValueT(std::forward<Ts>(Args)...);
    return {TheBucket, true};
  }
 
  template <typename KeyArgT, typename... Ts>
  std::pair<iterator, bool> try_emplace_impl(KeyArgT &&Key, Ts &&...Args) {
    auto [Bucket, Inserted] = lookupOrInsertIntoBucket(
        std::forward<KeyArgT>(Key), std::forward<Ts>(Args)...);
    return {makeIterator(Bucket), Inserted};
  }
 
  iterator makeIterator(BucketT *TheBucket) {
    return iterator::makeIterator(TheBucket, buckets(), *this);
  }
 
  const_iterator makeConstIterator(const BucketT *TheBucket) const {
    return const_iterator::makeIterator(TheBucket, buckets(), *this);
  }
 
  unsigned getNumEntries() const { return derived().getNumEntries(); }
 
  void setNumEntries(unsigned Num) { derived().setNumEntries(Num); }
 
  void incrementNumEntries() { setNumEntries(getNumEntries() + 1); }
 
  void decrementNumEntries() { setNumEntries(getNumEntries() - 1); }
 
  unsigned getNumTombstones() const { return derived().getNumTombstones(); }
 
  void setNumTombstones(unsigned Num) { derived().setNumTombstones(Num); }
 
  void incrementNumTombstones() { setNumTombstones(getNumTombstones() + 1); }
 
  void decrementNumTombstones() { setNumTombstones(getNumTombstones() - 1); }
 
  const BucketT *getBuckets() const { return derived().getBuckets(); }
 
  BucketT *getBuckets() { return derived().getBuckets(); }
 
  unsigned getNumBuckets() const { return derived().getNumBuckets(); }
 
  BucketT *getBucketsEnd() { return getBuckets() + getNumBuckets(); }
 
  const BucketT *getBucketsEnd() const {
    return getBuckets() + getNumBuckets();
  }
 
  iterator_range<BucketT *> buckets() {
    return llvm::make_range(getBuckets(), getBucketsEnd());
  }
 
  iterator_range<const BucketT *> buckets() const {
    return llvm::make_range(getBuckets(), getBucketsEnd());
  }
 
  void grow(unsigned AtLeast) { derived().grow(AtLeast); }
 
  template <typename LookupKeyT>
  BucketT *findBucketForInsertion(const LookupKeyT &Lookup,
                                  BucketT *TheBucket) {
    incrementEpoch();
 
    // If the load of the hash table is more than 3/4, or if fewer than 1/8 of
    // the buckets are empty (meaning that many are filled with tombstones),
    // grow the table.
    //
    // The later case is tricky.  For example, if we had one empty bucket with
    // tons of tombstones, failing lookups (e.g. for insertion) would have to
    // probe almost the entire table until it found the empty bucket.  If the
    // table completely filled with tombstones, no lookup would ever succeed,
    // causing infinite loops in lookup.
    unsigned NewNumEntries = getNumEntries() + 1;
    unsigned NumBuckets = getNumBuckets();
    if (LLVM_UNLIKELY(NewNumEntries * 4 >= NumBuckets * 3)) {
      this->grow(NumBuckets * 2);
      LookupBucketFor(Lookup, TheBucket);
    } else if (LLVM_UNLIKELY(NumBuckets -
                                 (NewNumEntries + getNumTombstones()) <=
                             NumBuckets / 8)) {
      this->grow(NumBuckets);
      LookupBucketFor(Lookup, TheBucket);
    }
    assert(TheBucket);
 
    // Only update the state after we've grown our bucket space appropriately
    // so that when growing buckets we have self-consistent entry count.
    incrementNumEntries();
 
    // If we are writing over a tombstone, remember this.
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    if (!KeyInfoT::isEqual(TheBucket->getFirst(), EmptyKey))
      decrementNumTombstones();
 
    return TheBucket;
  }
 
  template <typename LookupKeyT>
  const BucketT *doFind(const LookupKeyT &Val) const {
    const BucketT *BucketsPtr = getBuckets();
    const unsigned NumBuckets = getNumBuckets();
    if (NumBuckets == 0)
      return nullptr;
 
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    unsigned BucketNo = KeyInfoT::getHashValue(Val) & (NumBuckets - 1);
    unsigned ProbeAmt = 1;
    while (true) {
      const BucketT *Bucket = BucketsPtr + BucketNo;
      if (LLVM_LIKELY(KeyInfoT::isEqual(Val, Bucket->getFirst())))
        return Bucket;
      if (LLVM_LIKELY(KeyInfoT::isEqual(Bucket->getFirst(), EmptyKey)))
        return nullptr;
 
      // Otherwise, it's a hash collision or a tombstone, continue quadratic
      // probing.
      BucketNo += ProbeAmt++;
      BucketNo &= NumBuckets - 1;
    }
  }
 
  template <typename LookupKeyT> BucketT *doFind(const LookupKeyT &Val) {
    return const_cast<BucketT *>(
        static_cast<const DenseMapBase *>(this)->doFind(Val));
  }
 
  /// LookupBucketFor - Lookup the appropriate bucket for Val, returning it in
  /// FoundBucket.  If the bucket contains the key and a value, this returns
  /// true, otherwise it returns a bucket with an empty marker or tombstone and
  /// returns false.
  template <typename LookupKeyT>
  bool LookupBucketFor(const LookupKeyT &Val, BucketT *&FoundBucket) {
    BucketT *BucketsPtr = getBuckets();
    const unsigned NumBuckets = getNumBuckets();
 
    if (NumBuckets == 0) {
      FoundBucket = nullptr;
      return false;
    }
 
    // FoundTombstone - Keep track of whether we find a tombstone while probing.
    BucketT *FoundTombstone = nullptr;
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
    assert(!KeyInfoT::isEqual(Val, EmptyKey) &&
           !KeyInfoT::isEqual(Val, TombstoneKey) &&
           "Empty/Tombstone value shouldn't be inserted into map!");
 
    unsigned BucketNo = KeyInfoT::getHashValue(Val) & (NumBuckets - 1);
    unsigned ProbeAmt = 1;
    while (true) {
      BucketT *ThisBucket = BucketsPtr + BucketNo;
      // Found Val's bucket?  If so, return it.
      if (LLVM_LIKELY(KeyInfoT::isEqual(Val, ThisBucket->getFirst()))) {
        FoundBucket = ThisBucket;
        return true;
      }
 
      // If we found an empty bucket, the key doesn't exist in the set.
      // Insert it and return the default value.
      if (LLVM_LIKELY(KeyInfoT::isEqual(ThisBucket->getFirst(), EmptyKey))) {
        // If we've already seen a tombstone while probing, fill it in instead
        // of the empty bucket we eventually probed to.
        FoundBucket = FoundTombstone ? FoundTombstone : ThisBucket;
        return false;
      }
 
      // If this is a tombstone, remember it.  If Val ends up not in the map, we
      // prefer to return it than something that would require more probing.
      if (KeyInfoT::isEqual(ThisBucket->getFirst(), TombstoneKey) &&
          !FoundTombstone)
        FoundTombstone = ThisBucket; // Remember the first tombstone found.
 
      // Otherwise, it's a hash collision or a tombstone, continue quadratic
      // probing.
      BucketNo += ProbeAmt++;
      BucketNo &= (NumBuckets - 1);
    }
  }
 
public:
  /// Return the approximate size (in bytes) of the actual map.
  /// This is just the raw memory used by DenseMap.
  /// If entries are pointers to objects, the size of the referenced objects
  /// are not included.
  [[nodiscard]] size_t getMemorySize() const {
    return getNumBuckets() * sizeof(BucketT);
  }
};
 
/// Equality comparison for DenseMap.
///
/// Iterates over elements of LHS confirming that each (key, value) pair in LHS
/// is also in RHS, and that no additional pairs are in RHS.
/// Equivalent to N calls to RHS.find and N value comparisons. Amortized
/// complexity is linear, worst case is O(N^2) (if every hash collides).
template <typename DerivedT, typename KeyT, typename ValueT, typename KeyInfoT,
          typename BucketT>
[[nodiscard]] bool
operator==(const DenseMapBase<DerivedT, KeyT, ValueT, KeyInfoT, BucketT> &LHS,
           const DenseMapBase<DerivedT, KeyT, ValueT, KeyInfoT, BucketT> &RHS) {
  if (LHS.size() != RHS.size())
    return false;
 
  for (auto &KV : LHS) {
    auto I = RHS.find(KV.first);
    if (I == RHS.end() || I->second != KV.second)
      return false;
  }
 
  return true;
}
 
/// Inequality comparison for DenseMap.
///
/// Equivalent to !(LHS == RHS). See operator== for performance notes.
template <typename DerivedT, typename KeyT, typename ValueT, typename KeyInfoT,
          typename BucketT>
[[nodiscard]] bool
operator!=(const DenseMapBase<DerivedT, KeyT, ValueT, KeyInfoT, BucketT> &LHS,
           const DenseMapBase<DerivedT, KeyT, ValueT, KeyInfoT, BucketT> &RHS) {
  return !(LHS == RHS);
}
 
template <typename KeyT, typename ValueT,
          typename KeyInfoT = DenseMapInfo<KeyT>,
          typename BucketT = llvm::detail::DenseMapPair<KeyT, ValueT>>
class DenseMap : public DenseMapBase<DenseMap<KeyT, ValueT, KeyInfoT, BucketT>,
                                     KeyT, ValueT, KeyInfoT, BucketT> {
  friend class DenseMapBase<DenseMap, KeyT, ValueT, KeyInfoT, BucketT>;
 
  // Lift some types from the dependent base class into this class for
  // simplicity of referring to them.
  using BaseT = DenseMapBase<DenseMap, KeyT, ValueT, KeyInfoT, BucketT>;
 
  BucketT *Buckets;
  unsigned NumEntries;
  unsigned NumTombstones;
  unsigned NumBuckets;
 
public:
  /// Create a DenseMap with an optional \p NumElementsToReserve to guarantee
  /// that this number of elements can be inserted in the map without grow().
  explicit DenseMap(unsigned NumElementsToReserve = 0) {
    init(NumElementsToReserve);
  }
 
  DenseMap(const DenseMap &other) : BaseT() {
    init(0);
    this->copyFrom(other);
  }
 
  DenseMap(DenseMap &&other) : BaseT() {
    init(0);
    swap(other);
  }
 
  template <typename InputIt> DenseMap(const InputIt &I, const InputIt &E) {
    init(std::distance(I, E));
    this->insert(I, E);
  }
 
  template <typename RangeT>
  DenseMap(llvm::from_range_t, const RangeT &Range)
      : DenseMap(adl_begin(Range), adl_end(Range)) {}
 
  DenseMap(std::initializer_list<typename BaseT::value_type> Vals)
      : DenseMap(Vals.begin(), Vals.end()) {}
 
  ~DenseMap() {
    this->destroyAll();
    deallocateBuckets();
  }
 
  void swap(DenseMap &RHS) {
    this->incrementEpoch();
    RHS.incrementEpoch();
    std::swap(Buckets, RHS.Buckets);
    std::swap(NumEntries, RHS.NumEntries);
    std::swap(NumTombstones, RHS.NumTombstones);
    std::swap(NumBuckets, RHS.NumBuckets);
  }
 
  DenseMap &operator=(const DenseMap &other) {
    if (&other != this)
      this->copyFrom(other);
    return *this;
  }
 
  DenseMap &operator=(DenseMap &&other) {
    this->destroyAll();
    deallocateBuckets();
    init(0);
    swap(other);
    return *this;
  }
 
private:
  unsigned getNumEntries() const { return NumEntries; }
 
  void setNumEntries(unsigned Num) { NumEntries = Num; }
 
  unsigned getNumTombstones() const { return NumTombstones; }
 
  void setNumTombstones(unsigned Num) { NumTombstones = Num; }
 
  BucketT *getBuckets() const { return Buckets; }
 
  unsigned getNumBuckets() const { return NumBuckets; }
 
  void deallocateBuckets() {
    deallocate_buffer(Buckets, sizeof(BucketT) * NumBuckets, alignof(BucketT));
  }
 
  bool allocateBuckets(unsigned Num) {
    NumBuckets = Num;
    if (NumBuckets == 0) {
      Buckets = nullptr;
      return false;
    }
 
    Buckets = static_cast<BucketT *>(
        allocate_buffer(sizeof(BucketT) * NumBuckets, alignof(BucketT)));
    return true;
  }
 
  void init(unsigned InitNumEntries) {
    auto InitBuckets = BaseT::getMinBucketToReserveForEntries(InitNumEntries);
    if (allocateBuckets(InitBuckets)) {
      this->BaseT::initEmpty();
    } else {
      NumEntries = 0;
      NumTombstones = 0;
    }
  }
 
  void grow(unsigned AtLeast) {
    unsigned OldNumBuckets = NumBuckets;
    BucketT *OldBuckets = Buckets;
 
    allocateBuckets(std::max<unsigned>(
        64, static_cast<unsigned>(NextPowerOf2(AtLeast - 1))));
    assert(Buckets);
    if (!OldBuckets) {
      this->BaseT::initEmpty();
      return;
    }
 
    this->moveFromOldBuckets(
        llvm::make_range(OldBuckets, OldBuckets + OldNumBuckets));
 
    // Free the old table.
    deallocate_buffer(OldBuckets, sizeof(BucketT) * OldNumBuckets,
                      alignof(BucketT));
  }
 
  // Plan how to shrink the bucket table.  Return:
  // - {false, 0} to reuse the existing bucket table
  // - {true, N} to reallocate a bucket table with N entries
  std::pair<bool, unsigned> planShrinkAndClear() const {
    unsigned NewNumBuckets = 0;
    if (NumEntries)
      NewNumBuckets = std::max(64u, 1u << (Log2_32_Ceil(NumEntries) + 1));
    if (NewNumBuckets == NumBuckets)
      return {false, 0};          // Reuse.
    return {true, NewNumBuckets}; // Reallocate.
  }
};
 
template <typename KeyT, typename ValueT, unsigned InlineBuckets = 4,
          typename KeyInfoT = DenseMapInfo<KeyT>,
          typename BucketT = llvm::detail::DenseMapPair<KeyT, ValueT>>
class SmallDenseMap
    : public DenseMapBase<
          SmallDenseMap<KeyT, ValueT, InlineBuckets, KeyInfoT, BucketT>, KeyT,
          ValueT, KeyInfoT, BucketT> {
  friend class DenseMapBase<SmallDenseMap, KeyT, ValueT, KeyInfoT, BucketT>;
 
  // Lift some types from the dependent base class into this class for
  // simplicity of referring to them.
  using BaseT = DenseMapBase<SmallDenseMap, KeyT, ValueT, KeyInfoT, BucketT>;
 
  static_assert(isPowerOf2_64(InlineBuckets),
                "InlineBuckets must be a power of 2.");
 
  unsigned Small : 1;
  unsigned NumEntries : 31;
  unsigned NumTombstones;
 
  struct LargeRep {
    BucketT *Buckets;
    unsigned NumBuckets;
    iterator_range<BucketT *> buckets() {
      return llvm::make_range(Buckets, Buckets + NumBuckets);
    }
  };
 
  /// A "union" of an inline bucket array and the struct representing
  /// a large bucket. This union will be discriminated by the 'Small' bit.
  AlignedCharArrayUnion<BucketT[InlineBuckets], LargeRep> storage;
 
public:
  explicit SmallDenseMap(unsigned NumElementsToReserve = 0) {
    init(NumElementsToReserve);
  }
 
  SmallDenseMap(const SmallDenseMap &other) : BaseT() {
    init(0);
    this->copyFrom(other);
  }
 
  SmallDenseMap(SmallDenseMap &&other) : BaseT() {
    init(0);
    swap(other);
  }
 
  template <typename InputIt>
  SmallDenseMap(const InputIt &I, const InputIt &E) {
    init(std::distance(I, E));
    this->insert(I, E);
  }
 
  template <typename RangeT>
  SmallDenseMap(llvm::from_range_t, const RangeT &Range)
      : SmallDenseMap(adl_begin(Range), adl_end(Range)) {}
 
  SmallDenseMap(std::initializer_list<typename BaseT::value_type> Vals)
      : SmallDenseMap(Vals.begin(), Vals.end()) {}
 
  ~SmallDenseMap() {
    this->destroyAll();
    deallocateBuckets();
  }
 
  void swap(SmallDenseMap &RHS) {
    unsigned TmpNumEntries = RHS.NumEntries;
    RHS.NumEntries = NumEntries;
    NumEntries = TmpNumEntries;
    std::swap(NumTombstones, RHS.NumTombstones);
 
    const KeyT EmptyKey = KeyInfoT::getEmptyKey();
    const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
    if (Small && RHS.Small) {
      // If we're swapping inline bucket arrays, we have to cope with some of
      // the tricky bits of DenseMap's storage system: the buckets are not
      // fully initialized. Thus we swap every key, but we may have
      // a one-directional move of the value.
      for (unsigned i = 0, e = InlineBuckets; i != e; ++i) {
        BucketT *LHSB = &getInlineBuckets()[i],
                *RHSB = &RHS.getInlineBuckets()[i];
        bool hasLHSValue = (!KeyInfoT::isEqual(LHSB->getFirst(), EmptyKey) &&
                            !KeyInfoT::isEqual(LHSB->getFirst(), TombstoneKey));
        bool hasRHSValue = (!KeyInfoT::isEqual(RHSB->getFirst(), EmptyKey) &&
                            !KeyInfoT::isEqual(RHSB->getFirst(), TombstoneKey));
        if (hasLHSValue && hasRHSValue) {
          // Swap together if we can...
          std::swap(*LHSB, *RHSB);
          continue;
        }
        // Swap separately and handle any asymmetry.
        std::swap(LHSB->getFirst(), RHSB->getFirst());
        if (hasLHSValue) {
          ::new (&RHSB->getSecond()) ValueT(std::move(LHSB->getSecond()));
          LHSB->getSecond().~ValueT();
        } else if (hasRHSValue) {
          ::new (&LHSB->getSecond()) ValueT(std::move(RHSB->getSecond()));
          RHSB->getSecond().~ValueT();
        }
      }
      return;
    }
    if (!Small && !RHS.Small) {
      std::swap(*getLargeRep(), *RHS.getLargeRep());
      return;
    }
 
    SmallDenseMap &SmallSide = Small ? *this : RHS;
    SmallDenseMap &LargeSide = Small ? RHS : *this;
 
    // First stash the large side's rep and move the small side across.
    LargeRep TmpRep = std::move(*LargeSide.getLargeRep());
    LargeSide.getLargeRep()->~LargeRep();
    LargeSide.Small = true;
    // This is similar to the standard move-from-old-buckets, but the bucket
    // count hasn't actually rotated in this case. So we have to carefully
    // move construct the keys and values into their new locations, but there
    // is no need to re-hash things.
    for (unsigned i = 0, e = InlineBuckets; i != e; ++i) {
      BucketT *NewB = &LargeSide.getInlineBuckets()[i],
              *OldB = &SmallSide.getInlineBuckets()[i];
      ::new (&NewB->getFirst()) KeyT(std::move(OldB->getFirst()));
      OldB->getFirst().~KeyT();
      if (!KeyInfoT::isEqual(NewB->getFirst(), EmptyKey) &&
          !KeyInfoT::isEqual(NewB->getFirst(), TombstoneKey)) {
        ::new (&NewB->getSecond()) ValueT(std::move(OldB->getSecond()));
        OldB->getSecond().~ValueT();
      }
    }
 
    // The hard part of moving the small buckets across is done, just move
    // the TmpRep into its new home.
    SmallSide.Small = false;
    new (SmallSide.getLargeRep()) LargeRep(std::move(TmpRep));
  }
 
  SmallDenseMap &operator=(const SmallDenseMap &other) {
    if (&other != this)
      this->copyFrom(other);
    return *this;
  }
 
  SmallDenseMap &operator=(SmallDenseMap &&other) {
    this->destroyAll();
    deallocateBuckets();
    init(0);
    swap(other);
    return *this;
  }
 
private:
  unsigned getNumEntries() const { return NumEntries; }
 
  void setNumEntries(unsigned Num) {
    // NumEntries is hardcoded to be 31 bits wide.
    assert(Num < (1U << 31) && "Cannot support more than 1<<31 entries");
    NumEntries = Num;
  }
 
  unsigned getNumTombstones() const { return NumTombstones; }
 
  void setNumTombstones(unsigned Num) { NumTombstones = Num; }
 
  const BucketT *getInlineBuckets() const {
    assert(Small);
    // Note that this cast does not violate aliasing rules as we assert that
    // the memory's dynamic type is the small, inline bucket buffer, and the
    // 'storage' is a POD containing a char buffer.
    return reinterpret_cast<const BucketT *>(&storage);
  }
 
  BucketT *getInlineBuckets() {
    return const_cast<BucketT *>(
        const_cast<const SmallDenseMap *>(this)->getInlineBuckets());
  }
 
  const LargeRep *getLargeRep() const {
    assert(!Small);
    // Note, same rule about aliasing as with getInlineBuckets.
    return reinterpret_cast<const LargeRep *>(&storage);
  }
 
  LargeRep *getLargeRep() {
    return const_cast<LargeRep *>(
        const_cast<const SmallDenseMap *>(this)->getLargeRep());
  }
 
  const BucketT *getBuckets() const {
    return Small ? getInlineBuckets() : getLargeRep()->Buckets;
  }
 
  BucketT *getBuckets() {
    return const_cast<BucketT *>(
        const_cast<const SmallDenseMap *>(this)->getBuckets());
  }
 
  unsigned getNumBuckets() const {
    return Small ? InlineBuckets : getLargeRep()->NumBuckets;
  }
 
  iterator_range<BucketT *> inlineBuckets() {
    BucketT *Begin = getInlineBuckets();
    return llvm::make_range(Begin, Begin + InlineBuckets);
  }
 
  void deallocateBuckets() {
    if (Small)
      return;
 
    deallocate_buffer(getLargeRep()->Buckets,
                      sizeof(BucketT) * getLargeRep()->NumBuckets,
                      alignof(BucketT));
    getLargeRep()->~LargeRep();
  }
 
  bool allocateBuckets(unsigned Num) {
    if (Num <= InlineBuckets) {
      Small = true;
    } else {
      Small = false;
      BucketT *NewBuckets = static_cast<BucketT *>(
          allocate_buffer(sizeof(BucketT) * Num, alignof(BucketT)));
      new (getLargeRep()) LargeRep{NewBuckets, Num};
    }
    return true;
  }
 
  void init(unsigned InitNumEntries) {
    auto InitBuckets = BaseT::getMinBucketToReserveForEntries(InitNumEntries);
    allocateBuckets(InitBuckets);
    this->BaseT::initEmpty();
  }
 
  void grow(unsigned AtLeast) {
    if (AtLeast > InlineBuckets)
      AtLeast = std::max<unsigned>(64, NextPowerOf2(AtLeast - 1));
 
    if (Small) {
      // First move the inline buckets into a temporary storage.
      AlignedCharArrayUnion<BucketT[InlineBuckets]> TmpStorage;
      BucketT *TmpBegin = reinterpret_cast<BucketT *>(&TmpStorage);
      BucketT *TmpEnd = TmpBegin;
 
      // Loop over the buckets, moving non-empty, non-tombstones into the
      // temporary storage. Have the loop move the TmpEnd forward as it goes.
      const KeyT EmptyKey = KeyInfoT::getEmptyKey();
      const KeyT TombstoneKey = KeyInfoT::getTombstoneKey();
      for (BucketT &B : inlineBuckets()) {
        if (!KeyInfoT::isEqual(B.getFirst(), EmptyKey) &&
            !KeyInfoT::isEqual(B.getFirst(), TombstoneKey)) {
          assert(size_t(TmpEnd - TmpBegin) < InlineBuckets &&
                 "Too many inline buckets!");
          ::new (&TmpEnd->getFirst()) KeyT(std::move(B.getFirst()));
          ::new (&TmpEnd->getSecond()) ValueT(std::move(B.getSecond()));
          ++TmpEnd;
          B.getSecond().~ValueT();
        }
        B.getFirst().~KeyT();
      }
 
      // AtLeast == InlineBuckets can happen if there are many tombstones,
      // and grow() is used to remove them. Usually we always switch to the
      // large rep here.
      allocateBuckets(AtLeast);
      this->moveFromOldBuckets(llvm::make_range(TmpBegin, TmpEnd));
      return;
    }
 
    LargeRep OldRep = std::move(*getLargeRep());
    getLargeRep()->~LargeRep();
    allocateBuckets(AtLeast);
 
    this->moveFromOldBuckets(OldRep.buckets());
 
    // Free the old table.
    deallocate_buffer(OldRep.Buckets, sizeof(BucketT) * OldRep.NumBuckets,
                      alignof(BucketT));
  }
 
  // Plan how to shrink the bucket table.  Return:
  // - {false, 0} to reuse the existing bucket table
  // - {true, N} to reallocate a bucket table with N entries
  std::pair<bool, unsigned> planShrinkAndClear() const {
    unsigned NewNumBuckets = 0;
    if (!this->empty()) {
      NewNumBuckets = 1u << (Log2_32_Ceil(this->size()) + 1);
      if (NewNumBuckets > InlineBuckets)
        NewNumBuckets = std::max(64u, NewNumBuckets);
    }
    bool Reuse = Small ? NewNumBuckets <= InlineBuckets
                       : NewNumBuckets == getLargeRep()->NumBuckets;
    if (Reuse)
      return {false, 0};          // Reuse.
    return {true, NewNumBuckets}; // Reallocate.
  }
};
 
template <typename KeyT, typename ValueT, typename KeyInfoT, typename Bucket,
          bool IsConst>
class DenseMapIterator : DebugEpochBase::HandleBase {
  friend class DenseMapIterator<KeyT, ValueT, KeyInfoT, Bucket, true>;
  friend class DenseMapIterator<KeyT, ValueT, KeyInfoT, Bucket, false>;
 
public:
  using difference_type = ptrdiff_t;
  using value_type = std::conditional_t<IsConst, const Bucket, Bucket>;
  using pointer = value_type *;
  using reference = value_type &;
  using iterator_category = std::forward_iterator_tag;
 
private:
  using BucketItTy =
      std::conditional_t<shouldReverseIterate<KeyT>(),
                         std::reverse_iterator<pointer>, pointer>;
 
  BucketItTy Ptr = {};
  BucketItTy End = {};
 
  DenseMapIterator(BucketItTy Pos, BucketItTy E, const DebugEpochBase &Epoch)
      : DebugEpochBase::HandleBase(&Epoch), Ptr(Pos), End(E) {
    assert(isHandleInSync() && "invalid construction!");
  }
 
public:
  DenseMapIterator() = default;
 
  static DenseMapIterator makeBegin(iterator_range<pointer> Buckets,
                                    bool IsEmpty, const DebugEpochBase &Epoch) {
    // When the map is empty, avoid the overhead of advancing/retreating past
    // empty buckets.
    if (IsEmpty)
      return makeEnd(Buckets, Epoch);
    auto R = maybeReverse(Buckets);
    DenseMapIterator Iter(R.begin(), R.end(), Epoch);
    Iter.AdvancePastEmptyBuckets();
    return Iter;
  }
 
  static DenseMapIterator makeEnd(iterator_range<pointer> Buckets,
                                  const DebugEpochBase &Epoch) {
    auto R = maybeReverse(Buckets);
    return DenseMapIterator(R.end(), R.end(), Epoch);
  }
 
  static DenseMapIterator makeIterator(pointer P,
                                       iterator_range<pointer> Buckets,
                                       const DebugEpochBase &Epoch) {
    auto R = maybeReverse(Buckets);
    constexpr int Offset = shouldReverseIterate<KeyT>() ? 1 : 0;
    return DenseMapIterator(BucketItTy(P + Offset), R.end(), Epoch);
  }
 
  // Converting ctor from non-const iterators to const iterators. SFINAE'd out
  // for const iterator destinations so it doesn't end up as a user defined copy
  // constructor.
  template <bool IsConstSrc,
            typename = std::enable_if_t<!IsConstSrc && IsConst>>
  DenseMapIterator(
      const DenseMapIterator<KeyT, ValueT, KeyInfoT, Bucket, IsConstSrc> &I)
      : DebugEpochBase::HandleBase(I), Ptr(I.Ptr), End(I.End) {}
 
  [[nodiscard]] reference operator*() const {
    assert(isHandleInSync() && "invalid iterator access!");
    assert(Ptr != End && "dereferencing end() iterator");
    return *Ptr;
  }
  [[nodiscard]] pointer operator->() const { return &operator*(); }
 
  [[nodiscard]] friend bool operator==(const DenseMapIterator &LHS,
                                       const DenseMapIterator &RHS) {
    assert((!LHS.getEpochAddress() || LHS.isHandleInSync()) &&
           "handle not in sync!");
    assert((!RHS.getEpochAddress() || RHS.isHandleInSync()) &&
           "handle not in sync!");
    assert(LHS.getEpochAddress() == RHS.getEpochAddress() &&
           "comparing incomparable iterators!");
    return LHS.Ptr == RHS.Ptr;
  }
 
  [[nodiscard]] friend bool operator!=(const DenseMapIterator &LHS,
                                       const DenseMapIterator &RHS) {
    return !(LHS == RHS);
  }
 
  inline DenseMapIterator &operator++() { // Preincrement
    assert(isHandleInSync() && "invalid iterator access!");
    assert(Ptr != End && "incrementing end() iterator");
    ++Ptr;
    AdvancePastEmptyBuckets();
    return *this;
  }
  DenseMapIterator operator++(int) { // Postincrement
    assert(isHandleInSync() && "invalid iterator access!");
    DenseMapIterator tmp = *this;
    ++*this;
    return tmp;
  }
 
private:
  void AdvancePastEmptyBuckets() {
    assert(Ptr <= End);
    const KeyT Empty = KeyInfoT::getEmptyKey();
    const KeyT Tombstone = KeyInfoT::getTombstoneKey();
 
    while (Ptr != End && (KeyInfoT::isEqual(Ptr->getFirst(), Empty) ||
                          KeyInfoT::isEqual(Ptr->getFirst(), Tombstone)))
      ++Ptr;
  }
 
  static auto maybeReverse(iterator_range<pointer> Range) {
    if constexpr (shouldReverseIterate<KeyT>())
      return reverse(Range);
    else
      return Range;
  }
};
 
template <typename KeyT, typename ValueT, typename KeyInfoT>
[[nodiscard]] inline size_t
capacity_in_bytes(const DenseMap<KeyT, ValueT, KeyInfoT> &X) {
  return X.getMemorySize();
}
 
} // end namespace llvm
 
#endif // LLVM_ADT_DENSEMAP_H