02-线性结构1. 一元多项式求导 链表

#include<stdio.h>
#include<algorithm>
using namespace std;

typedef struct polynode *polynomial;

struct polynode
{
    int coef;
    int expon;
    polynomial link;
};

void Attach(int c,int e,polynomial *prear)
{
    polynomial p;
    p=(polynomial)malloc(sizeof(struct polynode));
    p->coef=c;
    p->expon=e;
    p->link=NULL;
    (*prear)->link=p;
    *prear=p;
}

polynomial Readpoly()
{
    polynomial p,rear,temp;
    int c,e;

    p=(polynomial)malloc(sizeof(struct polynode));//建立空结点
    rear=p;

    while(~scanf("%d%d",&c,&e))
    {
        temp==(polynomial)malloc(sizeof(struct polynode));
        Attach(c,e,&rear);//生成新的项,并插入链表的尾部
    }
    
    temp=p;//删除临时结点
    p=p->link;
    free(temp);
    
    return p;
}

polynomial Polydifferentiation(polynomial p)
{
    polynomial p1,p2;//p1为p2的前一项

    p2=p;
    p1=NULL;

    while(p2&&p2->expon)//对多项式非零项和指数不非零的项进行求导
    {
        p2->coef*=p2->expon;
        p2->expon--;
        p1=p2;
        p2=p2->link;
    }
    if(p2)
    {
        if(p1)//常数项前一项不为零
        {
            free(p2);
            p1->link=NULL;
        }
        else//多项式只有常熟项
        {
            p2->coef=0;
        }
    }
    return p;
}

void Printfpoly(polynomial p)
{
    bool flag=0;
    while(p)
    {
        if(flag)
            printf(" ");
        else flag++;
        printf("%d %d",p->coef,p->expon);
        p=p->link;
    }
    printf("\n");
}

int main()
{
    polynomial p;

    p=Readpoly();//读入多项式

    p=Polydifferentiation(p);//求导

    Printfpoly(p);//输入求导后结果

    return 0;
}

版权声明:本文为博主原创文章,未经博主允许不得转载。http://xiang578.top/

posted @ 2015-03-28 09:17  xryz  阅读(887)  评论(0编辑  收藏  举报