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C++ 双链表的基本操作(详解)

2020-05-23 13:57:48
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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:

  C++,双链表操作

  C++,双链表操作

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 oncetypedef 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

  C++,双链表操作

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CD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.

C++,双链表操作

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