上一篇博客主要总结了单向链表,这次再总结一下双向链表.
1.概念
双向链表也叫双链表,是链表的一种,它的每个数据结点中都有两个指针,分别指向直接后继和直接前驱。所以,从双向链表中的任意一个结点开始,都可以很方便地访问它的前驱结点和后继结点。一般我们都构造双向循环链表。
结构图如下所示:
2.基本操作实例
DoubleList.cpp
#include "stdafx.h" #include "DoubleList.h" #include <stdio.h> #include <malloc.h> #include <stdlib.h> DoubleList::DoubleList() { pDoubleListNode pDouList = NULL; // 创建双链表 CreateDouList(pDouList); PrintDouList(pDouList); // 打印逆序链表 PrintDouReverseList(pDouList); // 节点后插入节点 InsertNodeAfter(pDouList); PrintDouList(pDouList); // 节点前插入节点 InsertNodeBefore(pDouList); PrintDouList(pDouList); // 删除节点 DeleteNode(pDouList); PrintDouList(pDouList); // 删除链表 DeleteDouList(pDouList); PrintDouList(pDouList); system("PAUSE"); } DoubleList::~DoubleList() { } //创建双向链表 void DoubleList::CreateDouList(pDoubleListNode &head) { char x; // 定义成char型是用于输入‘q‘时可以退出,其实定义成int也能退出 pDoubleListNode p, s; head = (pDoubleListNode)malloc(sizeof(DoubleListNode)); head->next = NULL; head->prior = NULL; // 构造头结点p p = head; printf("\n输入双向链表的元素,每输入一个元素后按回车,输入q表示结束.\n"); fflush(stdin); //清空输入缓冲区 x = getchar(); while (x != ‘q‘) { s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = x - ‘0‘; // 得到的是输入字符的ASCII码,减去30H就变成想要的数字 s->next = NULL; s->prior = p; p->next = s; p = s; fflush(stdin); x = getchar(); } if (x == ‘q‘) { printf("双向链表构造完毕!\n"); } } //打印双向链表 void DoubleList::PrintDouList(pDoubleListNode &head) { pDoubleListNode p; printf("\n打印出双向链表数据为:\n"); if (!IsDouListEmpty(head)) { p = head->next; while (p) { printf("%d\n", p->data); p = p->next; } } } //逆序打印双向链表 void DoubleList::PrintDouReverseList(pDoubleListNode &head) { pDoubleListNode p; printf("\n打印出逆序双向链表数据为:\n"); if (!IsDouListEmpty(head)) { p = head->next; while (p->next) { p = p->next; } while (p->prior) { printf("%d \n", p->data); p = p->prior; } } } //求链表长度 int DoubleList::GetDouListLength(pDoubleListNode &head) { int length = 0; if (head == NULL) { printf("链表不存在,请先初始化!\n"); } else { pDoubleListNode p = head->next; while (p) { length++; p = p->next; } } return length; } //判断链表是否为空 bool DoubleList::IsDouListEmpty(pDoubleListNode &head) { if (head == NULL) { printf("链表不存在,请先初始化!\n"); return true; } else if (head->next == NULL) { printf("链表为空!\n"); return true; } return false; } //把双向链表置空 void DoubleList::ClearDouList(pDoubleListNode &head) { if (head == NULL) { printf("链表不存在,请先初始化!\n"); } else { pDoubleListNode p, q; p = q = head->next; //是p、q指向第一个元素 head->next = NULL; while (p) //逐个释放元素所占内存 { p = p->next; free(q); q = p; } } } // 删除双向链表 void DoubleList::DeleteDouList(pDoubleListNode &head) { printf("\n删除双向链表\n"); ClearDouList(head); free(head); head = NULL; } // 在双向链表中第i个位置后面插入元素 void DoubleList::InsertNodeAfter(pDoubleListNode &head) { int data, pos; pDoubleListNode p, s; p = head; int i = 0; printf("\n在双向链表中第i个位置后面插入元素\n"); printf("请输入要插入的元素和位置:\n"); scanf_s("%d%d", &data, &pos, 100); if (head == NULL) { printf("链表不存在,请先初始化!\n"); } else if (head->next == NULL) { printf("链表为空,插入第一个元素!\n"); s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = data; s->prior = NULL; s->next = NULL; head->next = s; // 将新结点插入head后 } else if (pos<1 || pos>GetDouListLength(head) + 1) { printf("插入位置错误!\n"); } else { while (i < pos) { p = p->next; i++; } if (i == GetDouListLength(head)) //如果在最后一个元素后面插入data { s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = data; s->next = NULL; s->prior = p; p->next = s; } else { s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = data; s->next = p->next; p->next->prior = s; p->next = s; s->prior = p; } } } // 在双向链表中第i个位置前面插入元素 void DoubleList::InsertNodeBefore(pDoubleListNode &head) { int data, pos; pDoubleListNode p, s; p = head; int i = 0; printf("\n在双向链表中第i个位置前面插入元素\n"); printf("请输入要插入的元素和位置:\n"); scanf_s("%d%d", &data, &pos, 100); if (head == NULL) { printf("链表不存在,请先初始化!\n"); } else if (head->next == NULL) { printf("链表为空,插入第一个元素!\n"); s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = data; s->prior = NULL; s->next = NULL; head->next = s; // 将新结点插入head后 } else if (pos<1 || pos>GetDouListLength(head) + 1) { printf("插入位置错误!\n"); } else { while (i < pos) { p = p->next; i++; } if (i == 1) // 如果在第一个元素前面插入data { s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = data; head->next = s; // 将新结点插入head后 s->prior = head; // 新结点的前结点指向头结点 s->next = p; // 新结点的后结点指向原head的后结点 p->prior = s ; // 原第一个结点的前结点指向新结点 } else { s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); s->data = data; s->prior = p->prior; s->next = p; p->prior->next = s; p->prior = s; } } } //删除双向链表中的第i个元素 void DoubleList::DeleteNode(pDoubleListNode &head) { int pos; int i = 0; pDoubleListNode p = head; printf("\n在双向链表中删除第i个位置的元素\n"); printf("请输入要删除的位置:"); scanf_s("%d", &pos, 100); if (IsDouListEmpty(head)) { return; } else if (pos<1 || pos>GetDouListLength(head)) { printf("删除的位置不存在!\n"); } else { while (i < pos) { p = p->next; i++; } if (i == GetDouListLength(head)) { p->prior->next = NULL; free(p); } else { p->prior->next = p->next; p->next->prior = p->prior; free(p); } } }
DoubleList.h
#pragma once typedef struct DoubleListNode { int data; //数据 struct DoubleListNode *prior; //前驱 struct DoubleListNode *next; //后继 }DoubleListNode, *pDoubleListNode; class DoubleList { public: DoubleList(); ~DoubleList(); //初始化双向链表 void DoubleList::CreateDouList(pDoubleListNode &head); //打印双向链表 void DoubleList::PrintDouList(pDoubleListNode &head); //逆序打印双向链表 void DoubleList::PrintDouReverseList(pDoubleListNode &head); //求链表长度 int DoubleList::GetDouListLength(pDoubleListNode &head); //判断链表是否为空 bool DoubleList::IsDouListEmpty(pDoubleListNode &head); //把双向链表置空 void DoubleList::ClearDouList(pDoubleListNode &head); //删除双向链表 void DoubleList::DeleteDouList(pDoubleListNode &head); //在双向链表中第i个位置后面插入元素m void DoubleList::InsertNodeAfter(pDoubleListNode &head); // 在双向链表中第i个位置前面插入元素 void DoubleList::InsertNodeBefore(pDoubleListNode &head); //删除双向链表中的第i个元素 void DoubleList::DeleteNode(pDoubleListNode &head); };
3.对链表插入节点的理解
例如在节点i前插入一个新的节点(即上面代码中的InsertNodeBefore函数):
链表结构体为:
typedef struct DoubleListNode
{
int data; // 数据
struct DoubleListNode *prior; // 前驱
struct DoubleListNode *next; // 后继
}DoubleListNode, *pDoubleListNode;
假设该链表由五个节点构成,分别为A,B,C,D,E
图中假设了A,B,C,D,E的地址分别为:addressA,addressB,addressC,addressD,addressE。
下面将分析链表的前插的例子:
双链表的前插,下面这是在节点"D"前插入一个新的节点"S"的代码和分析
s = (pDoubleListNode)malloc(sizeof(DoubleListNode)); // 申请一段内存空间,指针指向首地址为addressS
s->data = data; // 给节点S的数据赋值data
s->prior = p->prior; // p指向D节点, p->prior表示addressC,将它赋给s->prior,则s->prior里面的值是addressC,从而指向addressC这个地址即节点C,如下图S节点的蓝线
s->next = p; // p是addressD,将它赋给s->next,s->next中的值为addressD,也即s->next指向了D,如下图S节点的红线
p->prior->next = s; // p->prior 是addressC,即节点C,所以p->prior->next相当于没插入S之前的addressD,插入S后,将S的首地址即addressS赋给这个位置,所以此时,由C 到D的红线断裂,这个红线目标变成了S,如下图C节点的红线
p->prior = s; // 同理,p->prior也指向了S,即p->prior中addressC变成了addressS, D指向C的蓝线断裂。变成如下图D节点指向S节点的蓝线.