双链表
双链表的插入和删除操作
在p节点之前插入值为x的节点
在p节点之后插入值为x的节点
双链表的删除操作
双链表节点
package pers.zhang.linearList;
/**
* @author zhang
* @date 2020/1/15 - 11:06
* 双链表节点类
*/
public class DLinkNode<T> {
//数据元素
public T data;
//前驱节点
public DLinkNode<T> pred;
//后继节点
public DLinkNode<T> next;
//带参构造
public DLinkNode(T data, DLinkNode<T> pred, DLinkNode<T> next){
this.data = data;
this.pred = pred;
this.next = next;
}
public DLinkNode(){
this(null, null, null);
}
public DLinkNode(T data){
this(data, null, null);
}
//toString()
public String toString(){
return this.data.toString();
}
}
实现循环双链表
package pers.zhang.linearList;
/**
* @author zhang
* @date 2020/1/15 - 11:21
*
* 循环双链表
*/
public class CirDoublyLinkedList<T> implements LinearList<T> {
//头指针
public DLinkNode<T> head;
//默认构造,构造空循环链表
public CirDoublyLinkedList(){
this.head = new DLinkNode<T>();
this.head.pred = head;
this.head.next = head;
}
//由指定数组中的多个对象构造循环双链表,采用尾插入构造循环双链表
public CirDoublyLinkedList(T[] element){
this(); //创建空循环双链表,只有头结点
DLinkNode<T> rear = this.head;
for (int i = 0; i < element.length; i++){
rear.next = new DLinkNode<T>(element[i], rear, this.head); //尾插入
rear = rear.next;
}
this.head.pred = rear;
}
//深拷贝构造方法,复制循环双链表
public CirDoublyLinkedList(CirDoublyLinkedList<T> list){
this(); //创建空循环双链表,只有头结点
DLinkNode<T> rear = this.head;
for (DLinkNode<T> p = list.head.next; p != list.head; p = p.next){
rear.next = new DLinkNode<T>(p.data, rear, this.head);
rear = rear.next;
}
this.head.pred = rear;
}
//深拷贝构造方法,由单链表list构造循环双链表
public CirDoublyLinkedList(SinglyLinkedList<T> list){
this();
DLinkNode<T> rear = this.head;
for (Node<T> p = list.head.next; p != null; p = p.next){
rear.next = new DLinkNode<T>(p.data, rear, this.head);
rear = rear.next;
}
this.head.pred = rear;
}
//深拷贝构造方法,由循环单链表list构造循环双链表
public CirDoublyLinkedList(CirSinglyLinkedList<T> list){
this();
DLinkNode<T> rear = this.head;
for (Node<T> p = list.head.next; p != list.head; p = p.next){
rear.next = new DLinkNode<T>(p.data, rear, this.head);
rear = rear.next;
}
this.head.pred = rear;
}
//判断循环双链表是否空
@Override
public boolean isEmpty() {
return head.next == head;
}
//返回表长
@Override
public int length() {
int i = 0;
for(DLinkNode<T> p = this.head.next; p != this.head; p = p.next)
i++;
return i;
}
//返回第i(≥0)个元素,若i<0或大于表长则返回null,O(n)
@Override
public T get(int i) {
if(i >= 0){
DLinkNode<T> p = this.head.next;
for(int j = 0; p != null && j < i; j++)
p = p.next;
if(p != null)
return p.data;
}
return null;//当i<0或大于表长时
}
//设置第i(≥0)个元素值为x。若i<0或大于表长则抛出序号越界异常;若x==null,不操作。O(n)
@Override
public void set(int i, T x) {
if(x == null)
return;
DLinkNode<T> p = this.head.next;
for(int j = 0; p != null && j < i; j++)
p = p.next;
if(i >= 0 && p != null)
p.data = x;
else
throw new IndexOutOfBoundsException(i + "");
}
//插入第i(≥0)个元素值为x。若x==null,不插入。
//若i<0,插入x作为第0个元素;若i大于表长,插入x作为最后一个元素。O(n)
@Override
public void insert(int i, T x) {
if(x == null)//不能插入空对象
return;
DLinkNode<T> p = this.head;
for(int j = 0; j < i && p.next != this.head; j++)
p = p.next;
DLinkNode<T> q = new DLinkNode<T>(x, p, p.next);//插入在p节点之后,包括头插入,中间插入
p.pred.next = q;
p.next = q;
}
//在循环双链表最后添加结点,O(1)
@Override
public void append(T x) {
if(x == null)
return;
DLinkNode<T> q = new DLinkNode<T>(x, head.pred, head);
head.pred.next = q;
head.pred = q;
}
//删除第i(≥0)个元素,返回被删除对象。若i<0或i大于表长,不删除,返回null。O(n)
@Override
public T remove(int i) {
if(i >= 0){
DLinkNode<T> p = this.head.next;
for(int j = 0; p != head && j < i; j++)
p = p.next;
if(p != head){
T old = p.data;
p.pred.next = p.next;
p.next.pred = p.pred;
return old;
}
}
return null;
//throw new IndexOutOfBoundsException(i + "");
}
//删除循环双链表所有元素
@Override
public void removeAll() {
this.head.pred = head;
this.head.next = head;
}
//返回循环双链表所有元素的描述字符串,循环双链表遍历算法,O(n)
@Override
public String toString(){
String str = "(";
for (DLinkNode<T> p = this.head.next; p != this.head; p = p.next){
str += p.data.toString();
if (p.next != this.head)
str += ",";
}
return str+")"; //空表返回()
}
//比较两条循环双链表是否相等,覆盖Object类的equals(obj)方法
@Override
public boolean equals(Object obj){
if (obj == this)//同一对象
return true;
if (!(obj instanceof CirDoublyLinkedList))//不同类对象
return false;
DLinkNode<T> p = this.head.next;
CirDoublyLinkedList<T> list = (CirDoublyLinkedList<T>)obj;
DLinkNode<T> q = list.head.next;
while (p!=head && q!=list.head && p.data.equals(q.data)){//逐个比较
p = p.next;
q = q.next;
}
return p == head && q == list.head;
}
//顺序查找关键字为key元素,返回首次出现的元素,若查找不成功返回null
//key可以只包含关键字数据项,由T类的equals()方法提供比较对象相等的依据
@Override
public T search(T key) {
if(key == null)
return null;
for(DLinkNode<T> p = this.head.next; p != this.head; p = p.next)
if(key.equals(p.data))
return p.data;
return null;
}
//判断线性表是否包含关键字为key元素
public boolean contain(T key){
return this.search(key) != null;
}
//输出循环双链表,从后向前沿着前驱域
public void printPred(){
System.out.print("从后向前沿着前驱域遍历循环双链表,(");
for (DLinkNode<T> p = this.head.pred; p != this.head; p = p.pred)
{
System.out.print(p.data.toString());
if (p.pred != this.head)
System.out.print(", ");
}
System.out.println(")"); //空表返回()
}
/**
* 以下四个方法提供迭代遍历循环双链表方式
*/
//返回循环双链表第一个结点(非头结点),O(1)
public DLinkNode<T> getFirst(){
if (this.head.next == head)
return null;
return this.head.next;
}
//返回p的后继结点,O(1)
public DLinkNode<T> getNext(DLinkNode<T> p){
if (this.head.next == head || p == null)
return null;
return p.next;
}
//返回p的前驱结点,O(1)
public DLinkNode<T> getPred(DLinkNode<T> p){
if (this.head.next == head || p == null || this.head.next == p)
return null;
return p.pred;
}
//返回循环双链表最后一个结点,O(1)
public DLinkNode<T> getLast(){
if (this.head.pred == head)
return null;
return this.head.pred;
}
/**
* 子表操作
*/
//将list循环双链表中所有结点链接在当前循环双链表之后,并设置list为空
public void concat(CirDoublyLinkedList<T> list){
DLinkNode<T> rear = head.pred;
rear.next = list.head.next;
list.head.next.pred = rear;
rear = list.head.pred;
rear.next = this.head;
this.head.pred = rear;
list.head.pred = list.head;
list.head.next = list.head;
}
//返回从第i(≥0)个结点开始、长度为n(≥0)的子表(深拷贝)
//若i<0或n<0,抛出异常;若i>表长或n=0,返回空链表;若n超长,返回至表尾的子表
public CirDoublyLinkedList<T> sub(int i, int n){
if (i < 0)
throw new IndexOutOfBoundsException(i+""); //抛出序号越界异常
if (n < 0)
throw new IllegalArgumentException(i+""); //抛出无效参数异常
DLinkNode<T> p = this.head.next;
for (int j = 0; j < i && p != this.head; j++) //寻找子表首结点
p = p.next; //循环停止时,p指向第i结点。若i>表长,则p==this.head
CirDoublyLinkedList<T> list = new CirDoublyLinkedList<T>();//空循环双链表
DLinkNode<T> rear = list.head; //复制子表到list链表rear结点之后
for (int j = 0; p != this.head && j < n; j++, p = p.next){
rear.next.pred = new DLinkNode<T>(p.data, rear, list.head);
rear.next = rear.next.pred;
rear = rear.next;
}
return list; //返回对象引用
}
//插入子表(深拷贝),将list循环双链表中的所有结点复制插入到当前循环双链表front结点之后
public void insert(DLinkNode<T> front, CirDoublyLinkedList<T> list){
for (DLinkNode<T> q = list.head.next; q != list.head; q = q.next){
front.next.pred = new DLinkNode<T>(q.data, front, front.next);
front.next = front.next.pred;
front = front.next;
}
}
//插入子表(深拷贝),将list循环双链表中的所有结点复制插入到当前循环双链表第i个结点之前
public void insert(int i, CirDoublyLinkedList<T> list){
DLinkNode<T> p = this.head;
for (int j = 0; j < i && p.next != this.head; j++) //寻找插入位置
p = p.next; //循环停止时,p指向第i-1结点或最后一个结点
this.insert(p,list); //复制插入list链表到p结点之后
}
//将list循环双链表中所有结点复制添加到当前循环双链表最后
public void append(CirDoublyLinkedList<T> list){
this.insert(this.head.pred, list); //复制插入list链表到链尾结点之后
}
//删除从第i(≥0)个结点开始、长度为n(≥1)的子表
//若i<0或n<0,抛出异常;若i>表长或n=0,不删除;若n超长,删除至表尾的子表
//算法类似单链表
public void remove(int i, int n){
if (i < 0)
throw new IndexOutOfBoundsException(i+""); //抛出序号越界异常
if (n < 0)
throw new IllegalArgumentException(i+""); //抛出无效参数异常
DLinkNode<T> front = this.head.next;
for (int j = 0; j < i && front != this.head; j++) //寻找待删除子表首结点的前驱结点
front = front.next;
if (front == this.head) //i越界,不删除
return;
DLinkNode<T> p = front.next;
for (int j = 0; j < n && p != this.head; j++) //寻找待删除子表之后的结点
p = p.next;
front.next = p; //删除front后继结点至p前驱结点之间的子表
p.pred = front;
}
//返回this单链表首个与patten匹配子表的首结点,查找不成功时返回null
public DLinkNode<T> index(CirDoublyLinkedList<T> pattern){
return index(head.next, pattern);
}
//返回this单链表从start结点开始首个与pattern匹配子表的首结点,查找不成功时返回null,BF模式匹配
public DLinkNode<T> index(DLinkNode<T> start, CirDoublyLinkedList<T> pattern){
if (start == null || pattern.isEmpty())
return null;
DLinkNode<T> p = start, q = pattern.head.next;
while (p != this.head && q != pattern.head){
if (p.data.equals(q.data)){ //继续比较下一个结点
p = p.next;
q = q.next;
}else{ //回退
start = start.next; //目标表继续从下个子表
p = start;
q = pattern.head.next; //模式表回退至表头
}
}
if(q == pattern.head) //存在匹配的子表
return start; //返回子表首结点地址
return null;
}
//删除所有与pattern匹配的子表。算法调用index(pattern)查找到再删除。
public void removeAll(CirDoublyLinkedList<T> pattern){
System.out.print("将" + this.toString() + "中" + pattern.toString() + "全部删除");
DLinkNode<T> p = this.index(pattern); //返回从头结点开始首个与pattern匹配子表的首结点
//若pattern为空,返回null
while (p != null){
DLinkNode<T> q = pattern.head.next;
while (q != pattern.head){ //删除从p开始与pattern匹配的子表。不能调用remove(i,n)方法,效率低
p.pred.next = p.next; //删除p结点,但未释放p结点,p.next和p.pred仍然有效
p.next.pred = p.pred;
p = p.next; //p指向被删除结点的原后继结点
q = q.next;
}
p = this.index(p,pattern); //再次匹配,返回从p结点开始首个与pattern匹配子表的首结点
}
System.out.println("的结果是" + this.toString());
}
//将this单链表中首个与pattern匹配的子表替换为dest子表。
//算法类似replaceAll(pattern, dest),只将while改为if,只做一次匹配替换
public void replaceFirst(CirDoublyLinkedList<T> pattern, CirDoublyLinkedList<T> dest){
System.out.print("将" + this.toString() + "中首个" + pattern.toString() + "替换为" + dest.toString());
DLinkNode<T> p = this.index(pattern); //返回从头开始首个与pattern匹配子表的首结点
if (p != null){ //匹配成功,进行替换
DLinkNode<T> q = pattern.head.next;
while (q != pattern.head){ //删除从p开始与pattern匹配的子表
p.pred.next = p.next; //删除p结点,但未释放p结点,p.next和p.pred仍然有效
p.next.pred = p.pred;
p = p.next;
q = q.next;
}
p = p.pred;
q = dest.head.next;
while (q!=dest.head){ //将dest中所有结点深拷贝插入到当前单链表p结点之后
p.next.pred = new DLinkNode<T>(q.data,p,p.next); //将q结点深拷贝插入到p结点之后
p.next = p.next.pred;
p = p.next;
q = q.next;
}
p = p.next;
}
System.out.println("的结果是" + this.toString());
}
//将this单链表中所有与pattern匹配的子表替换为dest子表。
//算法调用index(pattern)查找到再删除和插入。
public void replaceAll(CirDoublyLinkedList<T> pattern, CirDoublyLinkedList<T> dest){
System.out.print("将" + this.toString() + "中" + pattern.toString() + "全部替换为" + dest.toString());
DLinkNode<T> p = this.index(pattern); //返回从头开始首个与pattern匹配子表的首结点
while (p != null){ //匹配成功,进行一次替换
DLinkNode<T> q = pattern.head.next;
while (q != pattern.head) //删除从p开始与pattern匹配的子表
{
p.pred.next = p.next; //删除p结点,但未释放p结点,p.next和p.pred仍然有效
p.next.pred = p.pred;
p = p.next;
q = q.next;
}
p = p.pred;
q = dest.head.next;
while (q != dest.head){ //将dest中所有结点深拷贝插入到当前单链表p结点之后
p.next.pred = new DLinkNode<T>(q.data,p,p.next); //将q结点深拷贝插入到p结点之后
p.next = p.next.pred;
p = p.next;
q = q.next;
}
p = p.next;
p = this.index(p,pattern); //再次匹配,返回从p结点开始首个与pattern匹配子表的首结点
}
System.out.println("的结果是" + this.toString());
}
//删除所有与pattern匹配的子表。BF模式匹配算法查找到再删除,没有调用index(pattern)。算法同单链表。
// public void removeAll(CirDoublyLinkedList<T> pattern)
// {
// System.out.print("将"+this.toString()+"中"+pattern.toString()+"全部删除");
// if (pattern.isEmpty()) //若无此句,则死循环,错误
// return;
// DLinkNode<T> start=this.head.next;
// while (start!=this.head)
// {
// DLinkNode<T> p=start, q=pattern.head.next;
// while (p!=this.head && q!=pattern.head && p.data.equals(q.data)) //一次匹配
// { p=p.next;
// q=q.next;
// }
// if (q!=pattern.head) //匹配失败,进行下次匹配
// start=start.next;
// else //匹配成功,删除该匹配子表
// { start.pred.next = p;
// p.pred = start.pred;
// start=p;
// }
// }
// System.out.println("的结果是"+this.toString());
// }
//将this单链表中所有与pattern匹配的子表替换为dest子表。当dest为空时,相当于删除匹配子表。
//包含BF模式匹配、删除匹配子表、复制插入子表算法
// public void replaceAll(CirDoublyLinkedList<T> pattern, CirDoublyLinkedList<T> dest)
// {
// System.out.print("将"+this.toString()+"中"+pattern.toString()+"全部替换为"+dest.toString()+"的结果是");
// if (pattern.isEmpty()) //若无此句,则将dest插入到start结点之后,错误
// return;
// DLinkNode<T> start=this.head.next;
// while (start!=this.head) //start指向每次匹配的起始结点
// {
// DLinkNode<T> p=start, q=pattern.head.next;
// while (p!=this.head && q!=pattern.head && p.data.equals(q.data))//一次匹配的多次比较
// { p=p.next;
// q=q.next;
// }
// if (q!=pattern.head) //匹配失败,进行下次匹配
// start=start.next;
// else //匹配成功,替换该匹配子表
// { start.pred.next = p; //删除该匹配子表
// p.pred = start.pred;
// start=p;
// DLinkNode<T> d=dest.head.next;
// while (d!=dest.head) //将dest剩余结点深拷贝插入到this单链表p之前
// { DLinkNode<T> t = new DLinkNode<T>(d.data, p.pred, p);
// p.pred.next = t;
// p.pred = t;
// d = d.next;
// }
// }
// }
// System.out.println(this.toString());
// }
/**
* 实现迭代器
*/
public java.util.Iterator<T> iterator(){
return new DoublyIterator();
}
//私有内部类实现迭代器
private class DoublyIterator implements java.util.Iterator<T>{
//当前节点
DLinkNode<T> current = CirDoublyLinkedList.this.head;
//是否可删除状态
boolean removable = false;
@Override
public boolean hasNext() {
return this.current.next != CirDoublyLinkedList.this.head;
}
@Override
public T next() {
if(this.hasNext()){
this.removable = true;
this.current = this.current.next;
return this.current.data;
}else{
throw new java.util.NoSuchElementException();
}
}
@Override
public void remove() {
if(this.removable){
this.current.next.pred = this.current.pred;
this.current.pred.next = this.current.next;
this.current = this.current.pred;
this.removable = false;
}else{
throw new java.lang.IllegalStateException();
}
}
}
public java.util.ListIterator<T> listIterator(){ //返回Java列表迭代器对象
return new DoublyListIterator(0);
}
public java.util.ListIterator<T> listIterator(final int index){ //返回Java列表迭代器对象
return new DoublyListIterator(index);
}
//私有内部类,实现列表迭代器接口
private class DoublyListIterator extends DoublyIterator implements java.util.ListIterator<T>{
//当前元素序号
int succ = 0;
public DoublyListIterator(int index){
this.succ = index;
// current=CirDoublyLinkedList.this.head;//当前结点
int i = -1;
while (i < index && this.hasNext()){
i++;
this.current = this.current.next;
}
if (index < 0 || !this.hasNext())
throw new IndexOutOfBoundsException("Index: " + index);
}
public boolean hasPrevious(){ //若有前驱元素,返回true
return this.current.pred != CirDoublyLinkedList.this.head;
}
public T previous(){ //返回前驱元素
if (this.hasPrevious()){
this.current = this.current.pred;
this.succ--;
return this.current.data;
}else{
throw new java.util.NoSuchElementException(); //抛出无此元素异常
}
}
//返回后继元素序号
public int nextIndex(){
return this.succ;
}
//返回前驱元素序号
public int previousIndex(){
return this.succ-1;
}
//将集合当前元素替换为x
public void set(T x){
if (x != null && this.current != CirDoublyLinkedList.this.head)
this.current.data = x;
}
//增加元素x,在当前结点之后插入x
public void add(T x){
if (x == null)
return; //不能添加空对象
DLinkNode<T> q = new DLinkNode<T>(x, this.current, this.current.next);
this.current.next.pred = q; //在当前结点之后插入x
this.current.next = q;
this.current = this.current.next;
this.succ++; //插入结点为当前结点
}
}
}
测试:
package pers.zhang.linearList;
import java.util.Iterator;
/**
* @author zhang
* @date 2020/1/15 - 15:13
*/
public class DoublyLinkedList_ex {
public static Integer[] random(int n) //返回产生n个随机数的数组
{
Integer[] elements = new Integer[n];
for (int i=0; i<n; i++)
elements[i] = (int)(Math.random()*100); //产生随机数
return elements;
}
public static void main(String args[])
{
/* CirDoublyLinkedList<Integer> list1 = new CirDoublyLinkedList<Integer>(random(5));
System.out.print("list1: "+list1.toString()+",");
list1.printPrevious();
list1.insert(-1, -1); //插入位置容错
list1.insert(0, 0);
list1.insert(6, 6);
list1.insert(100, 100); //插入位置容错
list1.set(3, new Integer((int)(list1.get(3).intValue()+100)));
System.out.println("插入后: "+list1.toString());
list1.remove(0);
list1.remove(3);
list1.remove(100); //序号越界,没删除
System.out.println("删除后: "+list1.toString());
CirDoublyLinkedList<Integer> list2 = new CirDoublyLinkedList<Integer>(list1);//深拷贝
System.out.println("list2: "+list2.toString());
//习题2
/* SinglyLinkedList<Integer> list3 = new SinglyLinkedList<Integer>(random(9));//单链表
System.out.println("list3: "+list3.toString());
CirDoublyLinkedList<Integer> list4 = new CirDoublyLinkedList<Integer>(list3);//由单链表构造循环双链表
System.out.println("list4: "+list4.toString());
CirSinglyLinkedList<Integer> list5 = new CirSinglyLinkedList<Integer>(random(9));//循环单链表
System.out.println("list5: "+list5.toString());
CirDoublyLinkedList<Integer> list6 = new CirDoublyLinkedList<Integer>(list5);//由循环单链表构造循环双链表
System.out.println("list6: "+list6.toString());
list6.printPrevious();
*/
//深拷贝与比较相等
CirDoublyLinkedList<Integer> list1 = new CirDoublyLinkedList<Integer>(); //空表
System.out.println("list1: "+list1.toString());
CirDoublyLinkedList<Integer> list2 = new CirDoublyLinkedList<Integer>(); //空表
System.out.println("list2: "+list2.toString());
System.out.println("list1.equals(list2)? "+list1.equals(list2));
list1 = new CirDoublyLinkedList<Integer>(random(5));
System.out.println("list1: "+list1.toString());
list2 = new CirDoublyLinkedList<Integer>(list1); //拷贝构造方法
System.out.println("list2: "+list2.toString());
System.out.println("list1.equals(list2)? "+list1.equals(list2));
System.out.println("list1: "+list1.toString());
list2.set(0, new Integer(list1.get(0).intValue()+100));
list2.remove(list2.length()-1);
System.out.println("list2: "+list2.toString());
System.out.println("list1.equals(list2)? "+list1.equals(list2));
//10.2 实现迭代器
Iterator<Integer> it = list1.iterator(); //获得单链表迭代器对象
int sum=0;
while (it.hasNext())
{
int value=it.next().intValue();
sum += value;
System.out.print(value);
if (it.hasNext())
System.out.print("+");
}
System.out.println("="+sum);
}
}
输出:
list1: (91, 16, 6, 5, 74)
(74, 5, 6, 16, 91)
插入后: (0, -1, 91, 116, 6, 5, 6, 74, 100)
删除后: (-1, 91, 116, 5, 6, 74, 100)
list2: (-1, 91, 116, 5, 6, 74, 100)
list3: (17, 66, 48, 19, 17, 33, 46, 60, 65)
list4: (17, 66, 48, 19, 17, 33, 46, 60, 65)
list5: (97, 67, 25, 31, 48, 97, 1, 58, 10)
list6: (97, 67, 25, 31, 48, 97, 1, 58, 10)
(10, 58, 1, 97, 48, 31, 25, 67, 97)
//深拷贝与比较相等
list1: ()
list2: ()
list1.equals(list2)? true
list1: (21, 80, 7, 47, 44)
list2: (21, 80, 7, 47, 44)
list1.equals(list2)? true
list1: (21, 80, 7, 47, 44)
list2: (121, 80, 7, 47)
list1.equals(list2)? false
21+80+7+47+44=199