hash_set.hh

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// hash_set
//
// Written by Wouter Vermaelen, based upon HashSet/HashMap
// example code and ideas provided by Jacques Van Damme.
 
#ifndef HASH_SET_HH
#define HASH_SET_HH
 
#include "narrow.hh"
#include "stl.hh"
#include "unreachable.hh"
#include "xrange.hh"
 
#include <cassert>
#include <concepts>
#include <cstdint>
#include <cstdlib>
#include <functional>
#include <initializer_list>
#include <iterator>
#include <new>
#include <type_traits>
#include <utility>
 
namespace hash_set_impl {
 
struct PoolIndex {
        unsigned idx;
        [[nodiscard]] constexpr bool operator==(const PoolIndex&) const = default;
};
inline constexpr PoolIndex invalidIndex{unsigned(-1)};
 
// Holds the data that will be stored in the hash_set plus some extra
// administrative data.
// - value: the actual to be stored data
// - hash: always equal to hasher(extract(value))
// - nextIdx: index of next element in a single-linked-list. This is either
//     the list of colliding buckets in the hash, or the list of free objects
//     in the Pool (see below).
template<typename Value>
struct Element {
        Value    value;
        unsigned hash;
        PoolIndex nextIdx;
 
        constexpr Element() = default;
 
        template<typename V>
        constexpr Element(V&& value_, unsigned hash_, PoolIndex nextIdx_)
                : value(std::forward<V>(value_))
                , hash(hash_)
                , nextIdx(nextIdx_)
        {
        }
 
        template<typename T, typename... Args>
                requires(!std::same_as<Element, std::remove_cvref_t<T>>) // don't block copy-constructor
        explicit constexpr Element(T&& t, Args&&... args)
                : value(std::forward<T>(t), std::forward<Args>(args)...)
                // hash    left uninitialized
                // nextIdx left uninitialized
        {
        }
};
 
 
// Holds 'Element' objects. These objects can be in 2 states:
// - 'free': In that case 'nextIdx' forms a single-linked list of all
//     free objects. 'freeIdx_' is the head of this list. Index 'invalidIndex'
//     indicates the end of the list.
// - 'in-use': The Element object is in use by some other data structure,
//     the Pool class doesn't interpret any of the Element fields.
template<typename Value>
class Pool {
        using Elem = Element<Value>;
 
public:
        Pool() = default;
 
        Pool(Pool&& source) noexcept
                : buf_     (source.buf_)
                , freeIdx_ (source.freeIdx_)
                , capacity_(source.capacity_)
        {
                source.buf_ = nullptr;
                source.freeIdx_ = invalidIndex;
                source.capacity_ = 0;
        }
 
        Pool& operator=(Pool&& source) noexcept
        {
                buf_      = source.buf_;
                freeIdx_  = source.freeIdx_;
                capacity_ = source.capacity_;
                source.buf_ = nullptr;
                source.freeIdx_ = invalidIndex;
                source.capacity_ = 0;
                return *this;
        }
 
        ~Pool()
        {
                free(buf_);
        }
 
        // Lookup Element by index. (External code) is only allowed to call this
        // method with indices that were earlier returned from create() and have
        // not yet been passed to destroy().
        [[nodiscard]] Elem& get(PoolIndex idx)
        {
                assert(idx.idx < capacity_);
                return buf_[idx.idx];
        }
        [[nodiscard]] const Elem& get(PoolIndex idx) const
        {
                return const_cast<Pool&>(*this).get(idx);
        }
 
        // - Insert a new Element in the pool (will be created with the given
        //   Element constructor parameters).
        // - Returns an index that can be used with the get() method. Never
        //   returns 'invalidIndex' (so it can be used as a 'special' value).
        // - Internally Pool keeps a list of pre-allocated objects, when this
        //   list runs out Pool will automatically allocate more objects.
        template<typename V>
        [[nodiscard]] PoolIndex create(V&& value, unsigned hash, PoolIndex nextIdx)
        {
                if (freeIdx_ == invalidIndex) grow();
                auto idx = freeIdx_;
                auto& elem = get(idx);
                freeIdx_ = elem.nextIdx;
                new (&elem) Elem(std::forward<V>(value), hash, nextIdx);
                return idx;
        }
 
        // Destroys a previously created object (given by index). Index must
        // have been returned by an earlier create() call, and the same index
        // can only be destroyed once. It's not allowed to destroy 'invalidIndex'.
        void destroy(PoolIndex idx)
        {
                auto& elem = get(idx);
                elem.~Elem();
                elem.nextIdx = freeIdx_;
                freeIdx_ = idx;
        }
 
        // Leaves 'hash' and 'nextIdx' members uninitialized!
        template<typename... Args>
        [[nodiscard]] PoolIndex emplace(Args&&... args)
        {
                if (freeIdx_ == invalidIndex) grow();
                auto idx = freeIdx_;
                auto& elem = get(idx);
                freeIdx_ = elem.nextIdx;
                new (&elem) Elem(std::forward<Args>(args)...);
                return idx;
        }
 
        [[nodiscard]] unsigned capacity() const
        {
                return capacity_;
        }
 
        void reserve(unsigned count)
        {
                // note: not required to be a power-of-2
                if (capacity_ >= count) return;
                if (capacity_ != 0) {
                        growMore(count);
                } else {
                        growInitial(count);
                }
        }
 
        friend void swap(Pool& x, Pool& y) noexcept
        {
                using std::swap;
                swap(x.buf_,     y.buf_);
                swap(x.freeIdx_,  y.freeIdx_);
                swap(x.capacity_, y.capacity_);
        }
 
private:
        void grow()
        {
                if (capacity_ != 0) {
                        growMore(2 * capacity_);
                } else {
                        growInitial(4); // initial capacity = 4
                }
        }
 
        void growMore(unsigned newCapacity)
        {
                auto* oldBuf = buf_;
                Elem* newBuf;
                if constexpr (std::is_trivially_move_constructible_v<Elem> &&
                              std::is_trivially_copyable_v<Elem>) {
                        newBuf = static_cast<Elem*>(realloc(oldBuf, newCapacity * sizeof(Elem)));
                        if (!newBuf) throw std::bad_alloc();
                } else {
                        newBuf = static_cast<Elem*>(malloc(newCapacity * sizeof(Elem)));
                        if (!newBuf) throw std::bad_alloc();
 
                        for (size_t i : xrange(capacity_)) {
                                new (&newBuf[i]) Elem(std::move(oldBuf[i]));
                                oldBuf[i].~Elem();
                        }
                        free(oldBuf);
                }
 
                for (auto i : xrange(capacity_, newCapacity - 1)) {
                        newBuf[i].nextIdx = PoolIndex{i + 1};
                }
                newBuf[newCapacity - 1].nextIdx = invalidIndex;
 
                buf_ = newBuf;
                freeIdx_ = PoolIndex{capacity_};
                capacity_ = newCapacity;
        }
 
        void growInitial(unsigned newCapacity)
        {
                auto* newBuf = static_cast<Elem*>(malloc(newCapacity * sizeof(Elem)));
                if (!newBuf) throw std::bad_alloc();
 
                for (auto i : xrange(newCapacity - 1)) {
                        newBuf[i].nextIdx = PoolIndex{i + 1};
                }
                newBuf[newCapacity - 1].nextIdx = invalidIndex;
 
                buf_ = newBuf;
                freeIdx_ = PoolIndex{0};
                capacity_ = newCapacity;
        }
 
private:
        Elem* buf_ = nullptr;
        PoolIndex freeIdx_ = invalidIndex; // index of a free block, 'invalidIndex' means nothing is free
        unsigned capacity_ = 0;
};
 
// Type-alias for the resulting type of applying Extractor on Value.
template<typename Value, typename Extractor>
using ExtractedType = typename std::remove_cvref_t<
        decltype(std::declval<Extractor>()(std::declval<Value>()))>;
 
} // namespace hash_set_impl
 
 
// hash_set
//
// A hash-set implementation with an STL-like interface.
//
// One important property of this implementation is that stored values are not
// the same as the keys that are used for hashing the values or looking them
// up.
//
// By default (when not specifying a 2nd template argument) the values are the
// same as the keys (so you get a classic hash-set). but it's possible to
// specify an extractor functor that extracts the key-part from the value (e.g.
// extract one member variable out of a bigger struct).
//
// If required it's also possible to specify custom hash and equality functors.
template<typename Value,
         typename Extractor = std::identity,
         typename Hasher = std::hash<hash_set_impl::ExtractedType<Value, Extractor>>,
         typename Equal = std::equal_to<>>
class hash_set
{
protected:
        using PoolIndex = hash_set_impl::PoolIndex;
        static constexpr auto invalidIndex = hash_set_impl::invalidIndex;
 
public:
        using value_type = Value;
 
        template<typename HashSet, typename IValue>
        class Iter {
        public:
                using value_type = IValue;
                using difference_type = int;
                using pointer = IValue*;
                using reference = IValue&;
                using iterator_category = std::forward_iterator_tag;
 
                Iter() = default;
 
                template<typename HashSet2, typename IValue2>
                explicit Iter(const Iter<HashSet2, IValue2>& other)
                        : hashSet(other.hashSet), elemIdx(other.elemIdx) {}
 
                template<typename HashSet2, typename IValue2>
                Iter& operator=(const Iter<HashSet2, IValue2>& rhs) {
                        hashSet = rhs.hashSet;
                        elemIdx = rhs.elemIdx;
                        return *this;
                }
 
                [[nodiscard]] bool operator==(const Iter& rhs) const {
                        assert((hashSet == rhs.hashSet) || !hashSet || !rhs.hashSet);
                        return elemIdx == rhs.elemIdx;
                }
 
                Iter& operator++() {
                        auto& oldElem = hashSet->pool.get(elemIdx);
                        elemIdx = oldElem.nextIdx;
                        if (elemIdx == invalidIndex) {
                                unsigned tableIdx = oldElem.hash & hashSet->allocMask;
                                do {
                                        if (tableIdx == hashSet->allocMask) break;
                                        elemIdx = hashSet->table[++tableIdx];
                                } while (elemIdx == invalidIndex);
                        }
                        return *this;
                }
                Iter operator++(int) {
                        Iter tmp = *this;
                        ++(*this);
                        return tmp;
                }
 
                [[nodiscard]] IValue& operator*() const {
                        return hashSet->pool.get(elemIdx).value;
                }
                [[nodiscard]] IValue* operator->() const {
                        return &hashSet->pool.get(elemIdx).value;
                }
 
        //internal:   should only be called from hash_set and hash_map
                Iter(HashSet* m, PoolIndex idx)
                        : hashSet(m), elemIdx(idx) {}
 
                [[nodiscard]] PoolIndex getElementIdx() const {
                        return elemIdx;
                }
 
        private:
                HashSet* hashSet = nullptr;
                PoolIndex elemIdx = invalidIndex;
        };
 
        using       iterator = Iter<      hash_set,       Value>;
        using const_iterator = Iter<const hash_set, const Value>;
 
public:
        explicit hash_set(unsigned initialSize = 0,
                 Extractor extract_ = Extractor(),
                 Hasher hasher_ = Hasher(),
                 Equal equal_ = Equal())
                : extract(extract_), hasher(hasher_), equal(equal_)
        {
                reserve(initialSize); // optimized away if initialSize==0
        }
 
        hash_set(const hash_set& source)
                : extract(source.extract), hasher(source.hasher)
                , equal(source.equal)
        {
                if (source.elemCount == 0) return;
                reserve(source.elemCount);
 
                for (unsigned i = 0; i <= source.allocMask; ++i) {
                        for (auto idx = source.table[i]; idx != invalidIndex; ) {
                                const auto& elem = source.pool.get(idx);
                                insert_noCapacityCheck_noDuplicateCheck(elem.value);
                                idx = elem.nextIdx;
                        }
                }
        }
 
        hash_set(hash_set&& source) noexcept
                : table(source.table)
                , pool(std::move(source.pool))
                , allocMask(source.allocMask)
                , elemCount(source.elemCount)
                , extract(std::move(source.extract))
                , hasher (std::move(source.hasher))
                , equal  (std::move(source.equal))
        {
                source.table = nullptr;
                source.allocMask = -1;
                source.elemCount = 0;
        }
 
        explicit hash_set(std::initializer_list<Value> args)
        {
                reserve(narrow<unsigned>(args.size()));
                for (auto a : args) insert_noCapacityCheck(a); // need duplicate check??
        }
 
        ~hash_set()
        {
                clear();
                free(table);
        }
 
        hash_set& operator=(const hash_set& source)
        {
                if (&source == this) return *this;
                clear();
                if (source.elemCount == 0) return *this;
                reserve(source.elemCount);
 
                for (unsigned i = 0; i <= source.allocMask; ++i) {
                        for (auto idx = source.table[i]; idx != invalidIndex; ) {
                                const auto& elem = source.pool.get(idx);
                                insert_noCapacityCheck_noDuplicateCheck(elem.value);
                                idx = elem.nextIdx;
                        }
                }
                extract = source.extract;
                hasher  = source.hasher;
                equal   = source.equal;
                return *this;
        }
 
        hash_set& operator=(hash_set&& source) noexcept
        {
                table     = source.table;
                pool      = std::move(source.pool);
                allocMask = source.allocMask;
                elemCount = source.elemCount;
                extract   = std::move(source.extract);
                hasher    = std::move(source.hasher);
                equal     = std::move(source.equal);
 
                source.table = nullptr;
                source.allocMask = -1;
                source.elemCount = 0;
                return *this;
        }
 
        template<typename K>
        [[nodiscard]] bool contains(const K& key) const
        {
                return locateElement(key) != invalidIndex;
        }
 
        template<typename V>
        std::pair<iterator, bool> insert(V&& value)
        {
                return insert_impl<true, true>(std::forward<V>(value));
        }
        template<typename V>
        std::pair<iterator, bool> insert_noCapacityCheck(V&& value)
        {
                return insert_impl<false, true>(std::forward<V>(value));
        }
        template<typename V>
        iterator insert_noDuplicateCheck(V&& value)
        {
                return insert_impl<true, false>(std::forward<V>(value)).first;
        }
        template<typename V>
        iterator insert_noCapacityCheck_noDuplicateCheck(V&& value)
        {
                return insert_impl<false, false>(std::forward<V>(value)).first;
        }
 
        template<typename... Args>
        std::pair<iterator, bool> emplace(Args&&... args)
        {
                return emplace_impl<true, true>(std::forward<Args>(args)...);
        }
        template<typename... Args>
        std::pair<iterator, bool> emplace_noCapacityCheck(Args&&... args)
        {
                return emplace_impl<false, true>(std::forward<Args>(args)...);
        }
        template<typename... Args>
        iterator emplace_noDuplicateCheck(Args&&... args)
        {
                return emplace_impl<true, false>(std::forward<Args>(args)...).first;
        }
        template<typename... Args>
        iterator emplace_noCapacityCheck_noDuplicateCheck(Args&&... args)
        {
                return emplace_impl<false, false>(std::forward<Args>(args)...).first;
        }
 
        template<typename K>
        bool erase(const K& key)
        {
                if (elemCount == 0) return false;
 
                auto hash = unsigned(hasher(key));
                auto tableIdx = hash & allocMask;
 
                for (auto* prev = &table[tableIdx]; *prev != invalidIndex; prev = &(pool.get(*prev).nextIdx)) {
                        auto elemIdx = *prev;
                        auto& elem = pool.get(elemIdx);
                        if (elem.hash != hash) continue;
                        if (!equal(extract(elem.value), key)) continue;
 
                        *prev = elem.nextIdx;
                        pool.destroy(elemIdx);
                        --elemCount;
                        return true;
                }
                return false;
        }
 
        void erase(iterator it)
        {
                auto elemIdx = it.getElementIdx();
                assert(elemIdx != invalidIndex); // not allowed to call erase(end())
                auto& elem = pool.get(elemIdx);
                auto tableIdx = pool.get(elemIdx).hash & allocMask;
                auto* prev = &table[tableIdx];
                assert(*prev != invalidIndex);
                while (*prev != elemIdx) {
                        prev = &(pool.get(*prev).nextIdx);
                        assert(*prev != invalidIndex);
                }
                *prev = elem.nextIdx;
                pool.destroy(elemIdx);
                --elemCount;
        }
 
        [[nodiscard]] bool empty() const
        {
                return elemCount == 0;
        }
 
        [[nodiscard]] unsigned size() const
        {
                return elemCount;
        }
 
        void clear()
        {
                if (elemCount == 0) return;
 
                for (unsigned i = 0; i <= allocMask; ++i) {
                        for (auto elemIdx = table[i]; elemIdx != invalidIndex; ) {
                                auto nextIdx = pool.get(elemIdx).nextIdx;
                                pool.destroy(elemIdx);
                                elemIdx = nextIdx;
                        }
                        table[i] = invalidIndex;
                }
                elemCount = 0;
        }
 
        template<typename K>
        [[nodiscard]] iterator find(const K& key)
        {
                return iterator(this, locateElement(key));
        }
 
        template<typename K>
        [[nodiscard]] const_iterator find(const K& key) const
        {
                return const_iterator(this, locateElement(key));
        }
 
        [[nodiscard]] iterator begin()
        {
                if (elemCount == 0) return end();
 
                for (unsigned idx = 0; idx <= allocMask; ++idx) {
                        if (table[idx] != invalidIndex) {
                                return iterator(this, table[idx]);
                        }
                }
                UNREACHABLE;
        }
 
        [[nodiscard]] const_iterator begin() const
        {
                if (elemCount == 0) return end();
 
                for (unsigned idx = 0; idx <= allocMask; ++idx) {
                        if (table[idx] != invalidIndex) {
                                return const_iterator(this, table[idx]);
                        }
                }
                UNREACHABLE;
        }
 
        [[nodiscard]] iterator end()
        {
                return iterator();
        }
 
        [[nodiscard]] const_iterator end() const
        {
                return const_iterator();
        }
 
        [[nodiscard]] unsigned capacity() const
        {
                unsigned poolCapacity = pool.capacity();
                unsigned tableCapacity = (allocMask + 1) / 4 * 3;
                return std::min(poolCapacity, tableCapacity);
        }
 
        // After this call, the hash_set can at least contain 'count' number of
        // elements without requiring any additional memory allocation or rehash.
        void reserve(unsigned count)
        {
                pool.reserve(count);
 
                unsigned oldCount = allocMask + 1;
                unsigned newCount = nextPowerOf2((count + 2) / 3 * 4);
                if (oldCount >= newCount) return;
 
                allocMask = newCount - 1;
                if (oldCount == 0) {
                        table = static_cast<PoolIndex*>(malloc(newCount * sizeof(PoolIndex)));
                        std::fill(table, table + newCount, invalidIndex);
                } else {
                        table = static_cast<PoolIndex*>(realloc(table, newCount * sizeof(PoolIndex)));
                        do {
                                rehash(oldCount);
                                oldCount *= 2;
                        } while (oldCount < newCount);
                }
        }
 
        friend void swap(hash_set& x, hash_set& y) noexcept
        {
                using std::swap;
                swap(x.table,     y.table);
                swap(x.pool,      y.pool);
                swap(x.allocMask, y.allocMask);
                swap(x.elemCount, y.elemCount);
                swap(x.extract  , y.extract);
                swap(x.hasher   , y.hasher);
                swap(x.equal    , y.equal);
        }
 
        [[nodiscard]] friend auto begin(      hash_set& s) { return s.begin(); }
        [[nodiscard]] friend auto begin(const hash_set& s) { return s.begin(); }
        [[nodiscard]] friend auto end  (      hash_set& s) { return s.end();   }
        [[nodiscard]] friend auto end  (const hash_set& s) { return s.end();   }
 
protected:
        // Returns the smallest value that is >= x that is also a power of 2.
        // (for x=0 it returns 0)
        [[nodiscard]] static inline unsigned nextPowerOf2(unsigned x)
        {
                static_assert(sizeof(unsigned) == sizeof(uint32_t), "only works for exactly 32 bit");
                x -= 1;
                x |= x >>  1;
                x |= x >>  2;
                x |= x >>  4;
                x |= x >>  8;
                x |= x >> 16;
                return x + 1;
        }
 
        template<bool CHECK_CAPACITY, bool CHECK_DUPLICATE, typename V>
        [[nodiscard]] std::pair<iterator, bool> insert_impl(V&& value)
        {
                auto hash = unsigned(hasher(extract(value)));
                auto tableIdx = hash & allocMask;
                PoolIndex primary = invalidIndex;
 
                if (!CHECK_CAPACITY || (elemCount > 0)) {
                        primary = table[tableIdx];
                        if constexpr (CHECK_DUPLICATE) {
                                for (auto elemIdx = primary; elemIdx != invalidIndex; ) {
                                        auto& elem = pool.get(elemIdx);
                                        if ((elem.hash == hash) &&
                                            equal(extract(elem.value), extract(value))) {
                                                // already exists
                                                return std::pair(iterator(this, elemIdx), false);
                                        }
                                        elemIdx = elem.nextIdx;
                                }
                        }
                }
 
                if (CHECK_CAPACITY && (elemCount >= ((allocMask + 1) / 4 * 3))) {
                        grow();
                        tableIdx = hash & allocMask;
                        primary = table[tableIdx];
                }
 
                elemCount++;
                auto idx = pool.create(std::forward<V>(value), hash, primary);
                table[tableIdx] = idx;
                return std::pair(iterator(this, idx), true);
        }
 
        template<bool CHECK_CAPACITY, bool CHECK_DUPLICATE, typename... Args>
        [[nodiscard]] std::pair<iterator, bool> emplace_impl(Args&&... args)
        {
                auto poolIdx = pool.emplace(std::forward<Args>(args)...);
                auto& poolElem = pool.get(poolIdx);
 
                auto hash = unsigned(hasher(extract(poolElem.value)));
                auto tableIdx = hash & allocMask;
                PoolIndex primary = invalidIndex;
 
                if (!CHECK_CAPACITY || (elemCount > 0)) {
                        primary = table[tableIdx];
                        if constexpr (CHECK_DUPLICATE) {
                                for (auto elemIdx = primary; elemIdx != invalidIndex; ) {
                                        auto& elem = pool.get(elemIdx);
                                        if ((elem.hash == hash) &&
                                            equal(extract(elem.value), extract(poolElem.value))) {
                                                // already exists
                                                pool.destroy(poolIdx);
                                                return std::pair(iterator(this, elemIdx), false);
                                        }
                                        elemIdx = elem.nextIdx;
                                }
                        }
                }
 
                if (CHECK_CAPACITY && (elemCount >= ((allocMask + 1) / 4 * 3))) {
                        grow();
                        tableIdx = hash & allocMask;
                        primary = table[tableIdx];
                }
 
                elemCount++;
                poolElem.hash = hash;
                poolElem.nextIdx = primary;
                table[tableIdx] = poolIdx;
                return std::pair(iterator(this, poolIdx), true);
        }
 
        void grow()
        {
                unsigned oldCount = allocMask + 1;
                if (oldCount == 0) {
                        allocMask = 4 - 1; // initial size
                        table = static_cast<PoolIndex*>(malloc(4 * sizeof(PoolIndex)));
                        std::fill(table, table + 4, invalidIndex);
                } else {
                        unsigned newCount = 2 * oldCount;
                        allocMask = newCount - 1;
                        table = static_cast<PoolIndex*>(realloc(table, newCount * sizeof(unsigned)));
                        rehash(oldCount);
                }
        }
 
        void rehash(unsigned oldCount)
        {
                assert((oldCount & (oldCount - 1)) == 0); // must be a power-of-2
                for (auto i : xrange(oldCount)) {
                        auto* p0 = &table[i];
                        auto* p1 = &table[i + oldCount];
                        for (auto p = *p0; p != invalidIndex; p = pool.get(p).nextIdx) {
                                auto& elem = pool.get(p);
                                if ((elem.hash & oldCount) == 0) {
                                        *p0 = p;
                                        p0 = &elem.nextIdx;
                                } else {
                                        *p1 = p;
                                        p1 = &elem.nextIdx;
                                }
                        }
                        *p0 = invalidIndex;
                        *p1 = invalidIndex;
                }
        }
 
        template<typename K>
        [[nodiscard]] PoolIndex locateElement(const K& key) const
        {
                if (elemCount == 0) return invalidIndex;
 
                auto hash = unsigned(hasher(key));
                auto tableIdx = hash & allocMask;
                for (auto elemIdx = table[tableIdx]; elemIdx != invalidIndex; ) {
                        auto& elem = pool.get(elemIdx);
                        if ((elem.hash == hash) &&
                            equal(extract(elem.value), key)) {
                                return elemIdx;
                        }
                        elemIdx = elem.nextIdx;
                }
                return invalidIndex;
        }
 
protected:
        PoolIndex* table = nullptr;
        hash_set_impl::Pool<Value> pool;
        unsigned allocMask = unsigned(-1);
        unsigned elemCount = 0;
        [[no_unique_address]] Extractor extract;
        [[no_unique_address]] Hasher hasher;
        [[no_unique_address]] Equal equal;
};
 
#endif