请使用java 写一个b+树
以下是一个简单的B+树的Java实现:
import java.util.ArrayList;
import java.util.List;
// B+树节点
class BPlusTreeNode {
List<Integer> keys;
List<Object> values;
List<BPlusTreeNode> children;
BPlusTreeNode parent;
boolean isLeaf;
public BPlusTreeNode() {
keys = new ArrayList<>();
values = new ArrayList<>();
children = new ArrayList<>();
parent = null;
isLeaf = false;
}
}
// B+树
class BPlusTree {
private BPlusTreeNode root;
private int degree;
public BPlusTree(int degree) {
this.degree = degree;
root = new BPlusTreeNode();
root.isLeaf = true;
}
// 插入键值对
public void insert(int key, Object value) {
BPlusTreeNode leafNode = findLeafNode(key);
insertIntoLeafNode(leafNode, key, value);
if (leafNode.keys.size() == degree) {
splitLeafNode(leafNode);
}
}
// 在叶子节点插入键值对
private void insertIntoLeafNode(BPlusTreeNode leafNode, int key, Object value) {
int index = 0;
while (index < leafNode.keys.size() && leafNode.keys.get(index) < key) {
index++;
}
leafNode.keys.add(index, key);
leafNode.values.add(index, value);
}
// 分裂叶子节点
private void splitLeafNode(BPlusTreeNode leafNode) {
int midIndex = leafNode.keys.size() / 2;
int midKey = leafNode.keys.get(midIndex);
BPlusTreeNode newLeafNode = new BPlusTreeNode();
newLeafNode.isLeaf = true;
for (int i = midIndex; i < leafNode.keys.size(); i++) {
newLeafNode.keys.add(leafNode.keys.get(i));
newLeafNode.values.add(leafNode.values.get(i));
}
for (int i = midIndex; i < leafNode.keys.size(); i++) {
leafNode.keys.remove(midIndex);
leafNode.values.remove(midIndex);
}
newLeafNode.parent = leafNode.parent;
leafNode.parent = newLeafNode.parent;
if (leafNode.parent == null) {
BPlusTreeNode newRoot = new BPlusTreeNode();
newRoot.keys.add(midKey);
newRoot.children.add(leafNode);
newRoot.children.add(newLeafNode);
root = newRoot;
} else {
int index = leafNode.parent.children.indexOf(leafNode);
leafNode.parent.keys.add(index, midKey);
leafNode.parent.children.add(index + 1, newLeafNode);
if (leafNode.parent.keys.size() == degree) {
splitInternalNode(leafNode.parent);
}
}
}
// 分裂内部节点
private void splitInternalNode(BPlusTreeNode internalNode) {
int midIndex = internalNode.keys.size() / 2;
int midKey = internalNode.keys.get(midIndex);
BPlusTreeNode newInternalNode = new BPlusTreeNode();
for (int i = midIndex + 1; i < internalNode.keys.size(); i++) {
newInternalNode.keys.add(internalNode.keys.get(i));
newInternalNode.children.add(internalNode.children.get(i));
internalNode.children.get(i).parent = newInternalNode;
}
newInternalNode.children.add(internalNode.children.get(internalNode.children.size() - 1));
internalNode.children.get(internalNode.children.size() - 1).parent = newInternalNode;
for (int i = midIndex; i < internalNode.keys.size(); i++) {
internalNode.keys.remove(midIndex);
internalNode.children.remove(midIndex + 1);
}
newInternalNode.parent = internalNode.parent;
internalNode.parent = newInternalNode.parent;
if (internalNode.parent == null) {
BPlusTreeNode newRoot = new BPlusTreeNode();
newRoot.keys.add(midKey);
newRoot.children.add(internalNode);
newRoot.children.add(newInternalNode);
root = newRoot;
} else {
int index = internalNode.parent.children.indexOf(internalNode);
internalNode.parent.keys.add(index, midKey);
internalNode.parent.children.add(index + 1, newInternalNode);
if (internalNode.parent.keys.size() == degree) {
splitInternalNode(internalNode.parent);
}
}
}
// 查找叶子节点
private BPlusTreeNode findLeafNode(int key) {
BPlusTreeNode node = root;
while (!node.isLeaf) {
int index = 0;
while (index < node.keys.size() && node.keys.get(index) <= key) {
index++;
}
node = node.children.get(index);
}
return node;
}
// 根据键查找值
public Object search(int key) {
BPlusTreeNode leafNode = findLeafNode(key);
int index = leafNode.keys.indexOf(key);
if (index != -1) {
return leafNode.values.get(index);
}
return null;
}
}
public class Main {
public static void main(String[] args) {
BPlusTree bPlusTree = new BPlusTree(3);
bPlusTree.insert(1, "A");
bPlusTree.insert(2, "B");
bPlusTree.insert(3, "C");
bPlusTree.insert(4, "D");
bPlusTree.insert(5, "E");
System.out.println(bPlusTree.search(3)); // Output: C
System.out.println(bPlusTree.search(6)); // Output: null
}
}
这是一个简单的B+树实现,其中包含了插入和搜索功能。在这个实现中,树的度为3,即每个节点最多可以包含3个键和4个子节点(叶子节点除外)。可以根据需要调整度数。
原文地址: http://www.cveoy.top/t/topic/ibU5 著作权归作者所有。请勿转载和采集!