多项式求导

最新推荐文章于 2021-08-20 15:21:04 发布

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本文介绍了使用C语言实现多项式求导的过程，包括多项式的创建、读取、求导和打印。通过定义结构体和相关函数，展示了如何在C语言中进行数学运算。

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

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,t;
    int c,e;

    P = (Polynomial)malloc(sizeof(struct PolyNode));Rear = P;
    while(scanf("%d %d",&c,&e) != EOF){
        Attach(c,e,&Rear);
    }
    t = P;P = P->link;free(t);

    return P;
}

Polynomial PolyDifferent(Polynomial P)
{
    Polynomial P1,P2;

    //处理一般项 
    P2 = P;P1 = NULL;
    while(P2&&P2->expon)
    {
        P2->coef *= P2->expon;
        P2->expon--;
        P1 = P2;P2 = P2->link; 
    }
    //处理最后的常数项 
    if(P2){
        if(P1){
            free(P2);
            P1->link = NULL;    
        }
        else{
            P2->coef = 0;
        }
    }

    return P;
}

void PrintPoly(Polynomial P)
{
    printf("%d %d",P->coef,P->expon);
    P = P->link;

    while(P){
        printf(" %d %d",P->coef,P->expon);
        P = P->link;
    }
    printf("\n");
}

int main()
{
    Polynomial P;

    P = ReadPoly();
    P = PolyDifferent(P);
    PrintPoly(P);
}