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I'm reading "Modern C++ Design" (A. Alexandrescu, 2002). The author said "the standard memory allocator is awful for small objects", but it has been two decades after the book has been out, glibc's malloc was really hard to beat.

Anyway, inspired from that, I wrote a simple allocator for fixed size object, in particular, my B-Tree (C++ : B-Tree in C++20 (+Iterator support)) node, which have sizeof(Node) = 64 in 64-bit machine.

template <typename T>
class FixedAllocator {
    struct Chunk {
        static constexpr std::size_t blockSize_ = sizeof(T);
        static constexpr unsigned char numBlocks_ = FixedAllocator::numBlocks_;

        Chunk() {
            unsigned char i = 0;
            for (unsigned char * p = &data_[0]; i != numBlocks_; p += blockSize_) {
                *p = ++i;
            }
        }

        void* allocate() {
            unsigned char* result = &data_[firstAvailableBlock_ * blockSize_];
            firstAvailableBlock_ = *result;
            --blocksAvailable_;
            return result;
        }

        void deallocate(void* p) {
            assert(p >= &data_[0]);
            auto* toRelease = static_cast<unsigned char*>(p);
            assert((toRelease - &data_[0]) % blockSize_ == 0);
            auto index = static_cast<unsigned char>((toRelease - &data_[0]) / blockSize_);
            *toRelease = firstAvailableBlock_;
            firstAvailableBlock_ = index;
            ++blocksAvailable_;
        }

        bool hasBlock(void* p, std::size_t chunkLength) const {
            auto* pc = static_cast<unsigned char*>(p);
            return (&data_[0] <= pc) && (pc < &data_[chunkLength]);
        }

        [[nodiscard]] bool hasAvailable() const {
            return (blocksAvailable_ == numBlocks_);
        }

        [[nodiscard]] bool isFilled() const {
            return !blocksAvailable_;
        }

        unsigned char data_[blockSize_ * numBlocks_];
        unsigned char firstAvailableBlock_ = 0;
        unsigned char blocksAvailable_ = numBlocks_;
    };

private:
    static constexpr std::size_t blockSize_ = sizeof(T);
    static constexpr unsigned char numBlocks_ = std::numeric_limits<unsigned char>::max();
    std::vector<Chunk> chunks_;
    Chunk* allocChunk_ = nullptr;
    Chunk* deallocChunk_ = nullptr;
    Chunk* emptyChunk_ = nullptr;

public:
    using value_type = T;

    FixedAllocator() {
        chunks_.reserve(std::numeric_limits<unsigned char>::max());
    }

    void* doAllocate() {
        assert(!emptyChunk_ || emptyChunk_->hasAvailable());
        if (!allocChunk_ || allocChunk_->isFilled()) {
            if (emptyChunk_) {
                allocChunk_ = emptyChunk_;
                emptyChunk_ = nullptr;
            } else {
                auto it = chunks_.begin();
                for (;; ++it) {
                    if (it == chunks_.end()) {
                        chunks_.emplace_back();
                        allocChunk_ = &chunks_.back();
                        deallocChunk_ = &chunks_.front();
                        break;
                    }
                    if (!it->isFilled()) {
                        allocChunk_ = &*it;
                        break;
                    }
                }
            }
        } else if (allocChunk_ == emptyChunk_) {
            emptyChunk_ = nullptr;
        }
        assert(allocChunk_ && !allocChunk_->isFilled());
        assert(!emptyChunk_ || emptyChunk_->hasAvailable());
        return allocChunk_->allocate();
    }

    value_type* allocate(std::size_t n) {
        assert(n == 1);
        auto* p = static_cast<value_type*>(doAllocate());
        return p;
    }

    Chunk* findVicinity(void* p) const {
        assert(!chunks_.empty() && deallocChunk_);
        const std::size_t chunkLength = numBlocks_ * blockSize_;
        // bidirectional search
        Chunk* lo = deallocChunk_;
        Chunk* hi = deallocChunk_ + 1;
        const Chunk* lbound = &chunks_.front();
        const Chunk* hbound = &chunks_.back() + 1;

        if (hi == hbound) {
            hi = nullptr;
        }

        for (;;) {
            if (lo) {
                if (lo->hasBlock(p, chunkLength)) {
                    return lo;
                }
                if (lo == lbound) {
                    lo = nullptr;
                    if (!hi) {
                        break;
                    }
                } else {
                    --lo;
                }
            }
            if (hi) {
                if (hi->hasBlock(p, chunkLength)) {
                    return hi;
                }
                if (++hi == hbound) {
                    hi = nullptr;
                    if (!lo) {
                        break;
                    }
                }
            }
        }
        return nullptr;
    }

    void deallocate(void* p, std::size_t n) noexcept {
        assert(n == 1);
        assert(!chunks_.empty());
        assert(&chunks_.front() <= deallocChunk_);
        assert(&chunks_.back() >= deallocChunk_);
        assert(&chunks_.front() <= allocChunk_);
        assert(&chunks_.back() >= allocChunk_);

        Chunk* foundChunk = nullptr;
        const std::size_t chunkLength = numBlocks_ * blockSize_;
        if (deallocChunk_->hasBlock(p, chunkLength)) {
            foundChunk = deallocChunk_;
        } else if (allocChunk_->hasBlock(p, chunkLength)) {
            foundChunk = allocChunk_;
        } else {
            foundChunk = findVicinity(p);
        }
        assert(foundChunk && foundChunk->hasBlock(p, chunkLength));
        deallocChunk_ = foundChunk;
        // double free check
        assert(emptyChunk_ != deallocChunk_);
        assert(!deallocChunk_->hasAvailable());
        assert(!emptyChunk_ || emptyChunk_->hasAvailable());

        deallocChunk_->deallocate(p);

        if (deallocChunk_->hasAvailable()) {
            // only release chunk if there are 2 empty chunks.
            if (emptyChunk_) {
                // if last chunk is empty, just let deallocChunk_ points
                // to empty chunk, and release the last.
                // otherwise, swap two and release an empty chunk
                Chunk* lastChunk = &chunks_.back();
                if (lastChunk == deallocChunk_) {
                    deallocChunk_ = emptyChunk_;
                } else if (lastChunk != emptyChunk_) {
                    std::swap(*emptyChunk_, *lastChunk);
                }
                assert(lastChunk->hasAvailable());
                chunks_.pop_back();
                if ((allocChunk_ == lastChunk) || (allocChunk_->isFilled())) {
                    allocChunk_ = deallocChunk_;
                }

            }
            emptyChunk_ = deallocChunk_;
        }
    }

    template <typename... Args>
    void construct (value_type* p, Args&&... args) {
        std::construct_at(p, std::forward<Args>(args)...);
    }

    void destroy(value_type* p) {
        std::destroy_at(p);
    }

};

I changed my B-Tree implementation correspondingly, ditching std::unique_ptr with using these functions:

    FixedAllocator<Node> alloc;
    
    Node* make_node() {
        Node* ptr = alloc.allocate(1);
        alloc.construct(ptr);
        return ptr;
    }

    void erase_node(Node* ptr) {
        alloc.destroy(ptr);
        alloc.deallocate(ptr, 1);
    }

The benchmark gives: (inserting and removing keys from 1~10000 in totally random order, 10000 time averaged)

My allocator:
Inserting: 2783us
Removing: 2435us

Standard allocator:
Inserting: 2700us
Removing: 2724us

Feel free to comment anything!

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  • \$\begingroup\$ Have you looked at the newer memory_resource interface? \$\endgroup\$
    – JDługosz
    Nov 3, 2021 at 14:44
  • \$\begingroup\$ @JDlugosz Yes, I could replace std::vector<Chunk> with std::pmr::vector<Chunk>, but I don't understand pmr well yet, so deferred that homework to later. \$\endgroup\$
    – frozenca
    Nov 3, 2021 at 14:46

1 Answer 1

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Missing alignment restrictions

A big issue with your allocator is that you don't ensure the storage is correctly aligned for type T. There are various ways to ensure storage is correctly aligned, but a simple way to do this is by using std::aligned_storage:

struct Chunk {
    ...
    typename std::aligned_storage<sizeof(T), alignof(T)>::type data_[numBlocks_];
    ...
};

As a bonus you no longer have to multiple things by blockSize_ yourself.

A Chunk knows its own length

It's weird to see the parameter chunkLength for hasBlock(), and member functions of FixedAllocator calculating the size of Chunk's data_[] and then passing it to hasBlock(). A Chunk knows exactly how large its data_[] is.

Also, if you can make hasBlock() check that p is correctly aligned to the start of a block, you can have a single assert(hasBlock(p)) inside deallocate().

Naming things

I recommend you try following the naming conventions of the standard C++ library, so users of your library don't have to deal with multiple conventions. For example:

  • hasBlock() -> contains()
  • hasAvailable() -> empty()
  • doAllocate() -> allocate() (it can coexist with the one that takes an argument)

Don't use std::vector to store your chunks

A std::vector might move its contents in memory when it needs to resize. Your solution to reserve the maximum size up front will potentially waste a lot of memory, and at the same time it now puts a hard limit to the number of objects an application can store using your allocator. And if you are going to give it a fixed capacity anyway, why not use a std::array?

There are many data structures that are more suitable, the most important thing though is to think about how fast it will be to find the Chunk that stores an object at a given address when calling FixedAllocator::deallocate().

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  • 1
    \$\begingroup\$ I'm tweaking my FixedAllocator to combine it with MemoryMappedFile to use it with my BTree. Anyway, std::aligned_storage cannot be used without UB, so it is deprecated in C++23 (open-std.org/jtc1/sc22/wg21/docs/papers/2021/p1413r3.pdf) (en.cppreference.com/w/cpp/types/aligned_storage) \$\endgroup\$
    – frozenca
    Jul 19, 2022 at 13:45
  • \$\begingroup\$ Too bad they didn't fix std::aligned_storage, but you could indeed also make it work with alignas(). To work around the issue with types that have extended alignment (which is what would cause issues, if it's not extended then I don't see any UB), you could round blocksize up to a multiple of alignof(T). \$\endgroup\$
    – G. Sliepen
    Jul 19, 2022 at 18:36

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