数据结构C#版笔记--堆栈(Stack)

堆栈(Stack)最明显的特征就是“先进后出”，本质上讲堆栈也是一种线性结构，符合线性结构的基本特点：即每个节点有且只有一个前驱节点和一个后续节点。

相对前面学习过的顺序表、链表不同的地方在于：Stack把所有操作限制在"只能在线性结构的某一端"进行，而不能在中间插入或删除元素。下面是示意图：

从示意图中可以看出，堆栈有二种实现方式：基于数组的顺序堆栈实现、类似链表的链式堆栈实现

先抽象堆栈的接口IStack:

namespace 栈与队列
{
    public interface IStack<T>
    {
        /// <summary>
        /// 返回堆栈的实际元素个数
        /// </summary>
        /// <returns></returns>
        int Count();

        /// <summary>
        /// 判断堆栈是否为空
        /// </summary>
        /// <returns></returns>
        bool IsEmpty();

        /// <summary>
        /// 清空堆栈里的元素
        /// </summary>
        void Clear();

        /// <summary>
        /// 入栈：将元素压入堆栈中
        /// </summary>
        /// <param name="item"></param>
        void Push(T item);

        /// <summary>
        /// 出栈：从堆栈顶取一个元素，并从堆栈中删除
        /// </summary>
        /// <returns></returns>
        T Pop();

        /// <summary>
        /// 取堆栈顶部的元素(但不删除)
        /// </summary>
        /// <returns></returns>
        T Peek();
    }
}

顺序堆栈(SeqStack)的实现：

using System;
using System.Text;

namespace 栈与队列
{
    public class SeqStack<T>:IStack<T>
    {
        private int maxsize;
        private T[] data;
        private int top;        

        public SeqStack(int size)
        {
            data = new T[size];
            maxsize = size;
            top = -1;
        }

        #region //接口实现部分
        public int Count()
        {
            return top + 1;
        }

        public void Clear()
        {
            top = -1;
        }

        public bool IsEmpty()
        {
            return top == -1;
        }

        public void Push(T item)
        {
            if (IsFull())
            {
                Console.WriteLine("Stack is full");
                return;
            }
            data[++top] = item;
        }

        public T Pop()
        {
            T tmp = default(T);
            if (IsEmpty())
            {
                Console.WriteLine("Stack is empty");
                return tmp;
            }
            tmp = data[top];
            top--;
            return tmp;
        }

        public T Peek()
        {
            if (IsEmpty())
            {
                Console.WriteLine("Stack is empty!");
                return default(T);
            }
            return data[top];
        }
        #endregion

        public bool IsFull()
        {
            return top == maxsize - 1;
        }

        public override string ToString()
        {
            StringBuilder sb = new StringBuilder();
            for (int i = top;i>=0;i--)
            {
                sb.Append(data[i] + ",");
            }
            return sb.ToString().Trim(',');
        }        

    }
}

链式堆栈(LinkStack)的实现

先定义节点Node.cs

namespace 栈与队列
{
    public class Node<T>
    {
        private T data;

        private Node<T> next;

        public Node(T data, Node<T> next)
        {
            this.data = data;
            this.next = next;
        }

        public Node(Node<T> next)
        {
            this.next = next;
            this.data = default(T);

        }

        public Node(T data)
        {
            this.data = data;
            this.next = null;
        }

        public Node()
        {
            this.data = default(T);
            this.next = null;
        }

        public T Data {
            get { return this.data; }
            set { this.data = value; }
        }

        public Node<T> Next
        {
            get { return next; }
            set { next = value; }
        }
    }
}

下面是LinkStack.cs

using System;
using System.Text;

namespace 栈与队列
{
    public class LinkStack<T>:IStack<T>
    {

        private Node<T> top;
        private int num;//节点个数

        /// <summary>
        /// 顶部节点
        /// </summary>
        public Node<T> Top
        {
            get { return top; }
            set { top = value; }
        }

        public LinkStack()
        {
            top = null;
            num = 0;
        }

        public int Count()
        {
            return num;
        }

        public void Clear()
        {
            top = null;
            num = 0;
        }

        public bool IsEmpty()
        {
            if (top == null && num == 0)
            {
                return true;
            }
            else
            {
                return false;
            }
        }

        public void Push(T item)
        {
            Node<T> q = new Node<T>(item);
            if (top == null)
            {
                top = q;
            }
            else
            {
                q.Next = top;
                top = q;
            }
            num++;
        }

        public T Pop()
        {
            if (IsEmpty())
            {
                Console.WriteLine("Stack is empty!");
                return default(T);
            }
            Node<T> p = top;
            top = top.Next;
            num--;

            return p.Data;
        }

        public T Peek()
        {
            if (IsEmpty())
            {
                Console.WriteLine("Stack is empty!");
                return default(T);
            }
            return top.Data;
        }

        public override string ToString()
        {
            StringBuilder sb = new StringBuilder();
            if (top != null)
            {
                sb.Append(top.Data.ToString() + ",");
                Node<T> p = top;
                while (p.Next != null)
                {
                    sb.Append(p.Next.Data.ToString()+ ",");
                    p = p.Next;
                }
            }

            return sb.ToString();
        }
    }
}

测试代码片段：

            Console.WriteLine("顺序堆栈测试开始...");
            SeqStack<int> seqStack = new SeqStack<int>(10);
            seqStack.Push(1);
            seqStack.Push(2);
            seqStack.Push(3);

            Console.WriteLine(seqStack);
            Console.WriteLine(seqStack.Peek());
            Console.WriteLine(seqStack);
            Console.WriteLine(seqStack.Pop());
            Console.WriteLine(seqStack);

            Console.WriteLine("链堆栈测试开始...");
            LinkStack<int> linkStack = new LinkStack<int>();
            linkStack.Push(1);
            linkStack.Push(2);
            linkStack.Push(3);

            Console.WriteLine(linkStack);
            Console.WriteLine(linkStack.Peek());
            Console.WriteLine(linkStack);
            Console.WriteLine(linkStack.Pop());
            Console.WriteLine(linkStack);

            Console.ReadLine();

.Net中System.Collections.Generic.Stack<T>已经提供了堆栈的基本实现，明白原理后，仍然推荐大家使用内置的实现。