数据结构（队列实现数学上的集合）

毕业设计驿站 2024年04月16日 10:03 其他问答 1

只用C，不用C++和java，求具体能运行的代码用一个队列实现数学上的集合（Set）的元素判定（属于、is a member of）、子集判定（包含于、is a subset of、is contained in）、交（intersection）、并（union）、差（complement、set-theoretic difference）运算，集合元素限定为整数。只能利用队列的入队和出队操作访问队列中元素。

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#include <stdio.h>
#include <stdlib.h>

struct DataSetQueue 
{
    double val;
    DataSetQueue* next;
};


//显示队列
void show(struct DataSetQueue* head)
{
    struct DataSetQueue* p = head;
    while(p)
    {
        printf("%g ",p->val);
        p = p->next;
    }
    printf("\n");
}


//创建队列
struct DataSetQueue* CreateQueue()
{
    struct DataSetQueue *head = (struct DataSetQueue*)malloc(sizeof(DataSetQueue));
    head->next =0;
    return head;
}

//复制队列
struct DataSetQueue* Copy(struct DataSetQueue* head)
{
    struct DataSetQueue* phead,*t,*p1,*p2;
    phead = CreateQueue();
    phead->val = head->val;
    phead->next = 0;

    p1 = phead;
    p2 = head->next;
    while(p2)
    {
        t = (struct DataSetQueue*)malloc(sizeof(DataSetQueue));
        t->next = 0;
        t->val = p2->val;
        p1->next = t;
        p1 = t;
        p2 = p2->next;
    }
    return phead;

}

//添加到队列
void Push(struct DataSetQueue* head,double v)
{
    struct DataSetQueue* p = head;
    struct DataSetQueue* t = (struct DataSetQueue*)malloc(sizeof(DataSetQueue));
    t->val = v;
    t->next = 0;
    while(p->next)
        p = p->next;
    p->next = t;
}

//第一个元素弹出队列
struct DataSetQueue* Pop(struct DataSetQueue* head)
{
    struct DataSetQueue* p = head;
    head = head->next;
    return p;
}

//释放空间
void Release(struct DataSetQueue* head)
{
    struct DataSetQueue* p = head;
    while(head)
    {
        p = head->next;
        free(head);
        head = p;
    }
}


//判断是否在队列中
int isInQueue(struct DataSetQueue* head,double v)
{
    struct DataSetQueue* p = head;
    while(p)
    {
        if(p->val == v)
            return 1;
        else
            p = p->next;
    }
    return 0;
}


//从队列中删除某个元素
struct DataSetQueue* isInAndDel(struct DataSetQueue* head,double v)
{
    struct DataSetQueue* p1;
    struct DataSetQueue* t;
    if(head == 0)
        return 0;
    if (head->val == v)
    {
        p1 = head;
        head = head->next;
        free(p1);
        return head;
    }
    p1 = head;
    while(p1->next)
    {
        t = p1->next;
        if(t->val == v)
        {
            p1->next = t->next;
            free(t);
            return head;
        }else
            p1 = p1->next;
    }
    return 0;
}


//子集判定p2是否是p1的子集
int isSun(struct DataSetQueue* p1,struct DataSetQueue* p2)
{
    //有问题，需要修改
    struct DataSetQueue* t2;
    struct DataSetQueue* tmp;
    struct DataSetQueue* t1 = Copy(p1);
    t2 = p2;
    while(t2)
    {
        tmp = isInAndDel(t1,t2->val);
        if(tmp)
        {
            t1 = tmp;
            t2 = t2->next;
        }
        else
        {
            Release(t1);
            return 0;
        }
    }
    Release(t1);
    return 1;
}

//求交集
struct DataSetQueue* Jiaoji(struct DataSetQueue* p1,struct DataSetQueue* p2)
{
    struct DataSetQueue* head = 0;
    struct DataSetQueue* tmp;
    struct DataSetQueue* t1 = Copy(p1);
    struct DataSetQueue* t2 = p2;
    while(t2)
    {
        tmp = isInAndDel(t1,t2->val);
        if (tmp)
        {
            t1 = tmp;
            if(head == 0)
            {
                head = CreateQueue();
                head->val = t2->val;
            }else
            {
                Push(head,t2->val);
            }
        }
        t2 = t2->next;
    }
    Release(t1);
    return head;
}

//求并集
struct DataSetQueue* Bingji(struct DataSetQueue* p1,struct DataSetQueue* p2)
{
    struct DataSetQueue* head,*t;
    struct DataSetQueue* tmp;
    struct DataSetQueue* t2 = p2;
    head = Copy(p1);
    while(t2)
    {
        Push(head,t2->val);
        t2 = t2->next;
    }

    //减去两者的交集
    t = Jiaoji(p1,p2);
    while(t)
    {
        tmp = isInAndDel(head,t->val);
        if(tmp)
            head = tmp;
        t = t->next;
    }
    Release(t);
    return head;
}
//求差在p1中，但不在p2中
struct DataSetQueue* Chaji(struct DataSetQueue* p1,struct DataSetQueue* p2)
{
    struct DataSetQueue* tmp;
    struct DataSetQueue* head = Copy(p1);
    struct DataSetQueue* t2 = p2;
    while(t2)
    {
        tmp = isInAndDel(head,t2->val);
        if(tmp)
            head = tmp;
        t2 = t2->next;
    }
    return head;
}


int main()
{
    int i;
    int a[]={1,2,3,4,5,6,7};
    int b[]={3,6,9,11};
    int c[]={1,2};
    struct DataSetQueue* h1,*h2,*h3,*jj,*bj,*cj;
    h1 = CreateQueue();
    h2 = CreateQueue();
    h3 = CreateQueue();

    h1->val = a[0];
    for (i=1;i<7;i++)
        Push(h1,a[i]);

    h2->val = b[0];
    for (i=1;i<4;i++)
        Push(h2,b[i]);

    h3->val = c[0];
    for(i=1;i<2;i++)
        Push(h3,c[i]);

    //显示结合
    printf("集合1:");
    show(h1);
    printf("集合2:");
    show(h2);
    printf("集合3:");
    show(h3);

    //判断一个数是否在集合中
    if(isInQueue(h1,3))
        printf("3在集合1中\n");
    else
        printf("3不在集合1中\n");
    if(isInQueue(h2,3))
        printf("3在集合2中\n");
    else
        printf("3不在集合2中\n");

    //判断是否属于
    if (isSun(h1,h2))
        printf("集合2属于集合1\n");
    else
        printf("集合2不属于集合1\n");

    if (isSun(h1,h3))
        printf("集合3属于集合1\n");
    else
        printf("集合3不属于集合1\n");


    jj = Jiaoji(h1,h2);
    printf("集合1与集合2的交集:");
    show(jj);

    bj = Bingji(h1,h2);
    printf("集合1与集合2的并集:");
    show(bj);

    cj = Chaji(h1,h2);
    printf("集合1与集合2的差集:");
    show(cj);

    Release(h1);
    Release(h2);
    Release(h3);
    Release(jj);
    Release(bj);
    Release(cj);
    return 0;
}

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