C#实现单向线性链表的设计与实现
顺序表是在计算机内存中用一组地址连续的存储单元依次存储数据元素的线性结构。简单,就不做过多说明了。
单向链表是链表的一种,其特点是链表的链接方向是单向的,对链表的访问要通过顺序读取从头部开始。在我设计的单向链表类(LinkList类)中,是以LNode类的一个对象来实现链表头。对链表的操作,都将链表头送入LinkList类。因此LinkList类中所有方法都是静态的。而对一个表的传输只需要传递表头就可以了。
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。
至于循环单向链表和循环双向链表都是之需要把尾元素指向首元素,在以上2个类实现的基础上再实现也不难。
暂时只写了单向链表类与双向链表节点类,其他的以后有时间慢慢搞了。。。
作者:长沙理工大学 02级 张宇洋
最后修改日期:2006-01-25
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/* 说明:
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* 双向链表的实现很简单,只是需要在结构中再加上个 public LNode Prev;
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* 循环链表把最后一个元素的指向第一个元素就好了。可以重新设计一个循环链表头,记录尾对象
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* C# 中并不是没指针,不过用了指针其实违背了 C# 的设计初衷,所以程序中并不存在指针
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* 关于这个结构是什么样子,可以在运行程序后,从局部变量窗口中查看 L 的的变化
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* 从降低算法的复杂度考虑,才会简写了 NextElem() 函数,要不别的函数能方便的从基函数得到扩展
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*/
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using System;
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namespace GyAngle.ZhangYuYang.LinearList
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{
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//Compare() 是数据元素判定函数
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public delegate bool CompareLNode(LNode obj1,LNode obj2);
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//Visit() 是元素依次访问的函数
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public delegate bool VisitLNode(int i,LNode obj);
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/*============================================================
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数据存储结构的定义
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============================================================*/
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//线性表的单链表储存结构以及头结构
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public sealed class LNode
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{
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public object Data; //保存数据
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public LNode Next; //保存下一元素对象的引用
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public LNode(){}
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public LNode(object obj)
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{
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this.Data=obj;
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}
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public override string ToString()
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{
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return this.Data.ToString ();
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}
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//返回指定对象
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public LNode this[int i]
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{
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get
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{
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return LinkList.GetElem(this,i);
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}
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}
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}
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//线性表的双向链表储存结构
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public sealed class DuLNode
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{
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public DuLNode Prev; //保存上一元素对象的引用
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public object Data; //保存数据
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public DuLNode Next; //保存下一元素对象的引用
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public DuLNode(){}
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public DuLNode(object obj)
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{
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this.Data=obj;
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}
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public override string ToString()
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{
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return this.Data.ToString ();
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}
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}
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/============================================================
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对应结构的操作
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============================================================*/
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//对线性表的单链表的基本操作
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public sealed class LinkList
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{
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//构造函数
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private LinkList(){}
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//构造一个空的线性表,并且返回这个表的表头
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public static LNode InitList()
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{
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return new LNode(0); //链性线性表元素头,并且在 Data 字段中记录下元素数目(这个是个优化)
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}
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//销毁线性表
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public static void DestroyList(ref LNode L)
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{
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L=null;
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}
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//将表设置为空表
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public static void ClearList(ref LNode L)
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{
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L.Data=0;
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L.Next=null;
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}
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//若 L 表为空表,则返回 True ,或则返回 False
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public static bool ListEmpty(ref LNode L)
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{
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if(0==(int)L.Data)return true;else return false;
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}
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//返回 L 中数据元素个数
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public static int ListLength(LNode L)
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{
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return (int)L.Data;
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}
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//返回链性线性表中的一个指定值
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public static LNode GetElem(LNode L,int p)
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{
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if(p>ListLength(L)||p<0)throw new ArgumentOutOfRangeException("p","指向了不存在的对象。"+"p="+p);
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LNode obj=L;
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for(int i=0;i<p;i++)
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{
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obj=NextElem(obj);
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}
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return obj;
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}
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//返回 L 中第一个与 e 满足关系 func() 的数据元素的位序,若这样的元素不存在,则返回 0
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public static int LocateElem(LNode L,LNode e,CompareLNode func)
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{
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int i=0;
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LNode obj=L;
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for(i=0;i<ListLength(L);i++)
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{
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obj=NextElem(obj);
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if(true==func(obj,e))
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{
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return i+1;
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}
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}
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return 0;
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}
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/*============================================================
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按道理说,这2个函数要求应该更严格些,实现起来并不难,不过这样更简便点,而且够用了
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NextElem() 函数完整版以给出,不过那样的话 LocateElem() 函数的使用又会不方便
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============================================================*/
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//若元素 cur_e 是 L 的数据元素,且不是第一个,则返回它的前驱,否则返回 null
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public static LNode PriorElem(LNode L,LNode cur_e)
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{
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int i=LocateElem(L,cur_e,new CompareLNode(CompareElement));
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if(2>i)
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{
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return null;
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}
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return GetElem(L,i-1);
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}
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/*若元素 cur_e 是 L 的数据元素,且不是最后一个,则返回它的后继,否则返回 null
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public static LNode NextElem(LNode L,LNode cur_e)
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{
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int i=LocateElem(L,cur_e);
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if(0==i||ListLength(L)==i)
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{
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return null;
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}
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return cur_e.Next;
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}*/
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/*返回元素 cur_e 的下一个元素,简单版 NextElem 函数。*/
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public static LNode NextElem(LNode cur_e)
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{
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return cur_e.Next;
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}
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//在L中的第 p 个元素处插入新元素 e
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public static void ListInsert(LNode L,int p,object e)
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{
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if(p>ListLength(L)||p<0)throw new ArgumentOutOfRangeException("p","指向了一个不存在的位置。"+"p="+p);
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LNode NewElement=new LNode(e);
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LNode obj=GetElem(L,p);
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NewElement.Next=obj.Next;
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obj.Next=NewElement;
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L.Data=(int)L.Data+1;
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}
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//删除 L 的第 p 个元素
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public static void ListDelete(LNode L,int p)
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{
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if(p>ListLength(L)||p<1)throw new ArgumentOutOfRangeException("p","指向了不存在的对象。"+"p="+p);
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LNode obj=GetElem(L,p-1);
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obj.Next=(obj.Next).Next;
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L.Data=(int)L.Data-1;
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}
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//依次对 L 的每一个元素调用函数 func() 。一旦 func() 失败,则操作失败
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public static bool ListTraverse(LNode L,VisitLNode func)
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{
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LNode obj=L;
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for(int i=0;i<ListLength(L);i++)
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{
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obj=obj.Next;
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if(false==func(i,obj))return false;
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}
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return true;
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}
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//类内部默认的用于定位函数的 func()
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static bool CompareElement(LNode obj1,LNode obj2)
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{
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if(obj1.Data.ToString()==obj2.Data.ToString())return true;else return false;
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}
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}
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}
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