数组队列出队的时间复杂度为 O(n) 循环队列出队为 O(1)(均摊时间复杂度,因为缩容时时间复杂度还是 O(n))
数组队列在删除队首元素时后面的元素要往前移动,比较耗时,循环队列使用 front 指针后移无需移动后面元素,
出队腾出的空间会在最后位置填充时利用。
tail == front 时队列为空,tail 指针要保证指向空间没有元素
实现
public class LoopQueue<E> implements Queue<E> {
private E[] data;
private int front, tail;
private int size;
public LoopQueue(int capacity) {
data = (E[])new Object[capacity + 1];
front = 0;
tail = 0;
size = 0;
}
public LoopQueue() {
this(10);
}
public int getCapacity() {
return data.length - 1;
}
@Override
public int getSize() {
return size;
}
@Override
public boolean isEmpty() {
return front == tail;
}
@Override
public void enqueue(E e) {
if ((tail + 1) % data.length == front) {
resize(getCapacity() * 2);
}
data[tail] = e;
tail = (tail + 1) % data.length;
size ++;
}
private void resize(int newCapacity) {
E[] newData = (E[])new Object[newCapacity + 1];
for (int i = 0; i < size; i ++) {
newData[i] = data[(i + front) % data.length];
}
data = newData;
front = 0;
tail = size;
}
@Override
public E dequeue() {
if (isEmpty()) {
throw new NoSuchElementException("Cannot dequeue from an empty queue!");
}
E ret = data[front];
data[front] = null;
front = (front + 1) % data.length;
size --;
// 缩容
if (size == getCapacity() / 4 && getCapacity() / 2 != 0){
resize(getCapacity() / 2);
}
return ret;
}
@Override
public E getFront() {
if (isEmpty()) {
throw new NoSuchElementException("Cannot dequeue from an empty queue!");
}
return data[front];
}
@Override
public String toString() {
StringBuilder res = new StringBuilder();
res.append(String.format("Queue: size = %d, capacity = %d\n", size, getCapacity()));
res.append("front: [");
for (int i = front; i != tail; i = (i + 1) % data.length) {
res.append(data[i]);
if ((i + 1) % data.length != tail) {
res.append(", ");
}
}
res.append("] tail");
return res.toString();
}
public static void main(String[] args) {
LoopQueue<Integer> queue = new LoopQueue<>();
for (int i = 0; i < 10; i++) {
queue.enqueue(i);
System.out.println(queue);
if (i % 3 == 2) {
queue.dequeue();
System.out.println(queue);
}
}
}
}