下面是一个使用Java编写的简单B+树磁盘实现的示例:
import java.io.*;
public class BPlusTreeDiskImplementation {
private static final int ORDER = 3; // B+树的阶数
private static final int BLOCK_SIZE = 4096; // 磁盘块的大小
private static class Node implements Serializable {
private int[] keys;
private long[] pointers;
private int numKeys;
private boolean isLeaf;
public Node() {
keys = new int[ORDER - 1];
pointers = new long[ORDER];
numKeys = 0;
isLeaf = false;
}
}
private RandomAccessFile file;
private long rootOffset;
public BPlusTreeDiskImplementation(String filename) throws IOException {
file = new RandomAccessFile(filename, "rw");
rootOffset = file.length(); // 根节点的偏移量为文件的末尾
Node root = new Node();
root.isLeaf = true;
writeNode(root, rootOffset);
}
public void insert(int key, long value) throws IOException {
Node root = readNode(rootOffset);
if (root.numKeys == ORDER - 1) {
Node newRoot = new Node();
newRoot.pointers[0] = rootOffset;
splitChild(newRoot, 0, root);
root = newRoot;
rootOffset = file.length();
writeNode(root, rootOffset);
}
insertNonFull(root, key, value);
}
private void insertNonFull(Node node, int key, long value) throws IOException {
int i = node.numKeys - 1;
if (node.isLeaf) {
while (i >= 0 && key < node.keys[i]) {
node.keys[i + 1] = node.keys[i];
node.pointers[i + 1] = node.pointers[i];
i--;
}
node.keys[i + 1] = key;
node.pointers[i + 1] = value;
node.numKeys++;
writeNode(node, getNodeOffset(node));
} else {
while (i >= 0 && key < node.keys[i]) {
i--;
}
i++;
Node child = readNode(node.pointers[i]);
if (child.numKeys == ORDER - 1) {
splitChild(node, i, child);
if (key > node.keys[i]) {
i++;
}
}
insertNonFull(readNode(node.pointers[i]), key, value);
}
}
private void splitChild(Node parent, int index, Node child) throws IOException {
Node newChild = new Node();
newChild.isLeaf = child.isLeaf;
newChild.numKeys = ORDER / 2;
for (int i = 0; i < ORDER / 2; i++) {
newChild.keys[i] = child.keys[i + ORDER / 2];
newChild.pointers[i] = child.pointers[i + ORDER / 2];
}
if (!child.isLeaf) {
newChild.pointers[ORDER / 2] = child.pointers[ORDER - 1];
}
child.numKeys = ORDER / 2;
for (int i = parent.numKeys; i > index; i--) {
parent.keys[i] = parent.keys[i - 1];
parent.pointers[i + 1] = parent.pointers[i];
}
parent.numKeys++;
parent.keys[index] = newChild.keys[0];
parent.pointers[index + 1] = getNodeOffset(newChild);
writeNode(child, getNodeOffset(child));
writeNode(newChild, getNodeOffset(newChild));
writeNode(parent, getNodeOffset(parent));
}
public long search(int key) throws IOException {
Node node = readNode(rootOffset);
while (true) {
int i = 0;
while (i < node.numKeys && key > node.keys[i]) {
i++;
}
if (i < node.numKeys && key == node.keys[i]) {
return node.pointers[i];
} else if (node.isLeaf) {
return -1; // 未找到
} else {
node = readNode(node.pointers[i]);
}
}
}
private void writeNode(Node node, long offset) throws IOException {
file.seek(offset);
ByteArrayOutputStream baos = new ByteArrayOutputStream();
ObjectOutputStream oos = new ObjectOutputStream(baos);
oos.writeObject(node);
byte[] data = baos.toByteArray();
file.write(data);
int padding = BLOCK_SIZE - data.length;
if (padding > 0) {
file.write(new byte[padding]);
}
}
private Node readNode(long offset) throws IOException {
file.seek(offset);
byte[] data = new byte[BLOCK_SIZE];
file.readFully(data);
ByteArrayInputStream bais = new ByteArrayInputStream(data);
ObjectInputStream ois = new ObjectInputStream(bais);
try {
return (Node) ois.readObject();
} catch (ClassNotFoundException e) {
e.printStackTrace();
}
return null;
}
private long getNodeOffset(Node node) {
return (long) (BLOCK_SIZE * Math.ceil((double) nodeOffset
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