beedb/include/index/b_plus_tree/b_plus_tree_node.h

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/*------------------------------------------------------------------------------*
* Architecture & Implementation of DBMS *
*------------------------------------------------------------------------------*
* Copyright 2022 Databases and Information Systems Group TU Dortmund *
* Visit us at *
* http://dbis.cs.tu-dortmund.de/cms/en/home/ *
* *
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS *
* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, *
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL *
* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR *
* OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, *
* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR *
* OTHER DEALINGS IN THE SOFTWARE. *
* *
* Authors: *
* Maximilian Berens <maximilian.berens@tu-dortmund.de> *
* Roland Kühn <roland.kuehn@cs.tu-dortmund.de> *
* Jan Mühlig <jan.muehlig@tu-dortmund.de> *
*------------------------------------------------------------------------------*
*/
#pragma once
#include <array>
#include <config.h>
#include <cstdint>
#include <cstring>
#include <index/return_value.h>
#include <utility>
namespace beedb::index::bplustree
{
using size_type = std::size_t;
template <typename K, typename V, bool U> class BPlusTreeNode;
template <typename K, typename V, bool U> struct BPlusTreeNodeHeader
{
size_type size = 0;
bool is_leaf;
BPlusTreeNode<K, V, U> *right = nullptr;
explicit BPlusTreeNodeHeader(const bool is_leaf_) : is_leaf(is_leaf_)
{
}
};
template <typename K, typename V, bool U> struct BPlusTreeLeafNode
{
static constexpr size_type max_items = (Config::b_plus_tree_page_size - sizeof(BPlusTreeNodeHeader<K, V, U>)) /
(sizeof(K) + sizeof(typename ReturnValue<V, U>::type));
std::array<K, BPlusTreeLeafNode::max_items> keys;
std::array<typename ReturnValue<V, U>::type, BPlusTreeLeafNode::max_items> values;
};
template <typename K, typename V, bool U> struct BPlusTreeInnerNode
{
static constexpr size_type max_keys =
(Config::b_plus_tree_page_size - sizeof(BPlusTreeNodeHeader<K, V, U>) - sizeof(BPlusTreeNode<K, V, U> *)) /
(sizeof(K) + sizeof(BPlusTreeInnerNode<K, V, U> *));
static constexpr size_type max_separators = max_keys + 1;
std::array<K, BPlusTreeInnerNode::max_keys> keys;
std::array<BPlusTreeNode<K, V, U> *, BPlusTreeInnerNode::max_separators> separators;
};
template <typename K, typename V, bool U> class BPlusTreeNode
{
public:
explicit BPlusTreeNode(const bool is_leaf) : _header(is_leaf)
{
}
~BPlusTreeNode();
[[nodiscard]] bool is_leaf() const
{
return _header.is_leaf;
}
[[nodiscard]] bool is_inner() const
{
return is_leaf() == false;
}
[[nodiscard]] size_type size() const
{
return _header.size;
}
void size(const size_type size)
{
_header.size = size;
}
[[nodiscard]] BPlusTreeNode<K, V, U> *right()
{
return _header.right;
}
[[nodiscard]] bool has_right() const
{
return _header.right != nullptr;
}
void right(BPlusTreeNode<K, V, U> *right)
{
_header.right = right;
}
[[nodiscard]] typename ReturnValue<V, U>::type &value(const size_type index)
{
return _leaf_node.values[index];
}
[[nodiscard]] BPlusTreeNode<K, V, U> *separator(const size_type index)
{
return _inner_node.separators[index];
}
void separator(const size_type index, BPlusTreeNode<K, V, U> *separator)
{
_inner_node.separators[index] = separator;
}
[[nodiscard]] K leaf_key(const size_type index)
{
return _leaf_node.keys[index];
}
[[nodiscard]] K inner_key(const size_type index)
{
return _inner_node.keys[index];
}
[[nodiscard]] bool is_full() const
{
const size_type max_size =
is_leaf() ? BPlusTreeLeafNode<K, V, U>::max_items : BPlusTreeInnerNode<K, V, U>::max_keys;
return size() >= max_size;
}
size_type index(const K key);
BPlusTreeNode<K, V, U> *child(const K key);
void insert_separator(const size_type index, BPlusTreeNode<K, V, U> *separator, const K key);
void insert_value(const size_type index, const V value, const K key);
void copy(BPlusTreeNode *other, const size_type from_index, const size_type count);
std::pair<std::size_t, std::size_t> size_include_children();
std::pair<std::size_t, std::size_t> count_children();
private:
BPlusTreeNodeHeader<K, V, U> _header;
union {
BPlusTreeInnerNode<K, V, U> _inner_node;
BPlusTreeLeafNode<K, V, U> _leaf_node;
};
};
template <typename K, typename V, bool U> BPlusTreeNode<K, V, U>::~BPlusTreeNode()
{
if (is_leaf() == false)
{
for (size_type i = 0; i < size(); i++)
{
delete _inner_node.separators[i];
}
}
}
template <typename K, typename V, bool U> size_type BPlusTreeNode<K, V, U>::index(const K key)
{
auto keys = is_leaf() ? _leaf_node.keys.begin() : _inner_node.keys.begin();
auto iterator = std::lower_bound(keys, keys + size(), key);
return std::distance(keys, iterator);
}
template <typename K, typename V, bool U> BPlusTreeNode<K, V, U> *BPlusTreeNode<K, V, U>::child(const K key)
{
std::int32_t low = 0, high = size() - 1;
while (low <= high)
{
const std::int32_t mid = (low + high) / 2;
if (_inner_node.keys[mid] <= key)
{
low = mid + 1;
}
else
{
high = mid - 1;
}
}
return _inner_node.separators[high + 1];
}
template <typename K, typename V, bool U>
void BPlusTreeNode<K, V, U>::insert_separator(const size_type index, BPlusTreeNode<K, V, U> *separator, const K key)
{
if (index < size())
{
const size_type offset = size() - index;
std::memmove(&_inner_node.keys[index + 1], &_inner_node.keys[index], offset * sizeof(K));
std::memmove(&_inner_node.separators[index + 2], &_inner_node.separators[index + 1],
offset * sizeof(BPlusTreeNode<K, V, U> *));
}
_inner_node.keys[index] = key;
_inner_node.separators[index + 1] = separator;
_header.size++;
}
template <typename K, typename V, bool U>
void BPlusTreeNode<K, V, U>::insert_value(const size_type index, const V value, const K key)
{
if (index < size())
{
const size_type offset = size() - index;
std::memmove(&_leaf_node.keys[index + 1], &_leaf_node.keys[index], offset * sizeof(K));
std::memmove(static_cast<void *>(&_leaf_node.values[index + 1]), &_leaf_node.values[index],
offset * sizeof(typename ReturnValue<V, U>::type));
}
_leaf_node.keys[index] = key;
if constexpr (U)
{
_leaf_node.values[index] = value;
}
else
{
new (&_leaf_node.values[index]) typename ReturnValue<V, U>::type();
_leaf_node.values[index].insert(value);
}
_header.size++;
}
template <typename K, typename V, bool U>
void BPlusTreeNode<K, V, U>::copy(BPlusTreeNode<K, V, U> *other, const size_type from_index, const size_type count)
{
if (is_leaf())
{
std::memcpy(&other->_leaf_node.keys[0], &_leaf_node.keys[from_index], count * sizeof(K));
std::memcpy(static_cast<void *>(&other->_leaf_node.values[0]), &_leaf_node.values[from_index],
count * sizeof(typename ReturnValue<V, U>::type));
}
else
{
std::memcpy(&other->_inner_node.keys[0], &_inner_node.keys[from_index], count * sizeof(K));
std::memcpy(&other->_inner_node.separators[1], &_inner_node.separators[from_index + 1],
count * sizeof(BPlusTreeNode<K, V, U> *));
}
}
template <typename K, typename V, bool U>
std::pair<std::size_t, std::size_t> BPlusTreeNode<K, V, U>::size_include_children()
{
if (is_leaf())
{
return {0u, size()};
}
std::size_t leaf_sizes = 0, inner_sizes = 0;
for (auto i = 0u; i <= size(); i++)
{
BPlusTreeNode<K, V, U> *child = _inner_node.separators[i];
const auto child_size = child->size_include_children();
inner_sizes += child_size.first;
leaf_sizes += child_size.second;
}
return {inner_sizes, leaf_sizes};
}
template <typename K, typename V, bool U> std::pair<std::size_t, std::size_t> BPlusTreeNode<K, V, U>::count_children()
{
if (is_leaf())
{
return {0u, 0u};
}
if (_inner_node.separators[0]->is_leaf())
{
return {0u, size() + 1u};
}
std::size_t leaf_children = 0, inner_children = 0;
for (auto i = 0u; i <= size(); i++)
{
BPlusTreeNode<K, V, U> *child = _inner_node.separators[i];
const auto child_size = child->count_children();
inner_children += child_size.first;
leaf_children += child_size.second;
}
return {inner_children + size(), leaf_children};
}
} // namespace beedb::index::bplustree