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#include<stdio.h>
#include<malloc.h>

typedef struct node{//¶¨Òå½ÚµãÀàÐÍ
float coef;
int expn;
struct node * next;
}PLOY;

void start()//Óû§Ñ¡Ôñ½çÃæ
{
printf("************************************\n");
printf(" Á½¸öÒ»Ôª¶àÏîʽµÄÏà¼Ó/Ïà¼õ£¬Ïà³Ë:\n");
printf("************************************\n");
printf("ÇëÑ¡Ôñ²Ù×÷:\n");
printf("0.Í˳ö\n");
printf("1.Á½¸öÒ»Ôª¶àÏîʽÏà¼Ó\n");
printf("2.Á½¸öÒ»Ôª¶àÏîʽÏà³Ë\n");
printf("3.Á½¸öÒ»Ôª¶àÏîʽÏà¼õ\n");  
}
void insert(PLOY *head,PLOY *inpt)//²éÕÒλÖòåÈëÐÂÁ´½Ú³ÌÐò
{
PLOY *pre,*now;
int signal=0;
pre=head;//pre¶¨ÒåΪÏÖÔÚµÄǰһ¸öÁ´½Ú
if(pre->next==NULL) {pre->next=inpt;}
else {now=pre->next;
while(signal==0)
{
if(inpt->expn<now->expn)//µ±ÐÂÁ´½ÚСÓÚÏÖÔÚµÄÁ¬½ÓʱÏòºóÒÆÒ»¸öÁ´½Ú
{
if(now->next==NULL)
{
now->next=inpt;
signal=1;
}
else
{
pre=now;
now=pre->next;
}
}
else
if(inpt->expn>now->expn)//Èç¹û·¢ÏÖ±ÈÏÖÔÚµÄÁ´½Ú´óÁ˾ͲåÈëµ½Õâ¸öÁ¬½ÓµÄÇ°Ãæ
{
inpt->next=now;
pre->next=inpt;
signal=1;
}
else
{
now->coef=now->coef+inpt->coef;
signal=1;
free(inpt);//Ó뵱ǰÁ´½ÚÏàµÈÖ¸Êý
if(now->coef==0)
{
pre->next=now->next;
free(now);
}
}
}
}
}

PLOY *creat(char ch)//ÊäÈë¶àÏîʽ
{
PLOY *head,*inpt;
float x;
int y;
head=(PLOY *)malloc(sizeof(PLOY));//´´½¨Á´±íÍ·
head->next=NULL;
printf("ÇëÊäÈëÒ»Ôª¶àÏîʽ%c:(¸ñʽÊÇ£ºÏµÊý Ö¸Êý£»ÒÔ0 0 ½áÊø£¡)\n",ch);
scanf("%f %d",&x,&y);
while(x!=0)
{
inpt=(PLOY *)malloc(sizeof(PLOY));//´´½¨ÐÂÁ´½Ú
inpt->coef=x;
inpt->expn=y;
inpt->next=NULL;
insert(head,inpt);//²»È»¾Í²éÕÒλÖò¢ÇÒ²åÈëÐÂÁ´½Ú
printf("ÇëÊäÈëÒ»Ôª¶àÏîʽ%cµÄÏÂÒ»Ïî:(ÒÔ0 0 ½áÊø£¡)\n",ch);
scanf("%f %d",&x,&y);
}
return head;
}

PLOY *addPLOY(PLOY *head,PLOY *pre)//¶àÏîʽÏà¼Ó
{
PLOY *inpt;
int flag=0;
while(flag==0)
{
if(pre->next==NULL)
flag=1;//µ±ÏÖÔÚÖ¸Ïò¿ÕÊ±Ìø³öÑ­»·
else
{
pre=pre->next;
inpt=(PLOY *)malloc(sizeof(PLOY));//´´½¨ÐÂÁ´½Ú
inpt->coef=pre->coef;
inpt->expn=pre->expn;
inpt->next=NULL;
insert(head,inpt);
}//·ñÔò°Ñµ±Ç°"g(x)"µÄÁ´½Ú²åÈëµ½"y(x)"ÖÐ
}
return head;
}

PLOY *minusPLOY(PLOY *head,PLOY *pre)//¶àÏîʽÏà¼õ
{
PLOY *inpt;
int flag=0;
while(flag==0)
{
if(pre->next==NULL)
flag=1;//µ±ÏÖÔÚÖ¸Ïò¿ÕÊ±Ìø³öÑ­»·
else
{
pre=pre->next;
inpt=(PLOY *)malloc(sizeof(PLOY));//´´½¨ÐÂÁ´½Ú
inpt->coef=0-pre->coef;
inpt->expn=pre->expn;
inpt->next=NULL;
insert(head,inpt);
}//·ñÔò°Ñµ±Ç°"g(x)"µÄÁ´½Ú²åÈëµ½"y(x)"ÖÐ
}
return head;
}

PLOY *byPLOY(PLOY *head1,PLOY *head2)//¶àÏîʽÏà³Ë
{
PLOY *inpt,*res,*pre;
int flag=0;
res=(PLOY *)malloc(sizeof(PLOY));//´´½¨Á´±íÍ·
res->next=NULL;
head1=head1->next;
pre=head2;
while(flag==0)
{
if(pre->next==NULL)
{
pre=head2;//µ±ÏÖÔÚÖ¸Ïò¿ÕÊ±Ìø³öÑ­»·
head1=head1->next;
continue;
}
if(head1==NULL)
{
flag=1;//µ±ÏÖÔÚÖ¸Ïò¿ÕÊ±Ìø³öÑ­»·
continue;
}
pre=pre->next;
inpt=(PLOY *)malloc(sizeof(PLOY));//´´½¨ÐÂÁ´½Ú
inpt->coef=pre->coef*head1->coef;
inpt->expn=pre->expn+head1->expn;
inpt->next=NULL;
insert(res,inpt);//°Ñµ±Ç°"g(x)"µÄÁ´½Ú²åÈëµ½"y(x)"ÖÐ
}
return res;
}

void print(PLOY *fun)//Êä³ö¶àÏîʽ
{
PLOY *printing;
int flag=0;
printing=fun->next;//ÕýÔÚ±»´òÓ¡µÄÁ´½Ú
if(fun->next==NULL)//Èç¹ûº¯ÊýΪ¿Õ´òÓ¡0
{
printf("0\n");
return;
}
while(flag==0)
{
if(printing->coef>0&&fun->next!=printing)
printf("+");//ΪÕýÊýʱ´òÓ¡"+"ºÅ
if(printing->coef==1);//Èç¹ûΪ"1"¾Í²»ÓôòӡϵÊýÁË
else if(printing->coef==-1)
printf("-");//Èç¹ûΪ"-1"¾Í´òÓ¡"-"ºÅ¾ÍÐÐÁË
else
printf("%f",printing->coef);//ÆäÓàÇé¿ö¶¼µÃ´òÓ¡
if(printing->expn!=0) printf("x^%d",printing->expn);//Èç¹ûÖ¸ÊýΪ"0"²»´òÓ¡Ö¸ÊýÏî
else if((printing->coef==1)||(printing->coef==-1))
printf("1");
if(printing->next==NULL)
flag=1;//Èç¹ûÏÖÔÚµÄÁ´½ÚûÓÐÏÂÒ»¸ö¾Í½áÊø
else
printing=printing->next;
}
printf("\n");
}

void main()
{
PLOY *f,*g;
int sign=-1;//ÉèÖñêÖ¾
start();
while(sign!=0)
{
scanf("%d",&sign);
switch(sign)
{
case 0:
break;//Í˳ö
case 1:
{
printf("ÄãÑ¡ÔñµÄ²Ù×÷ÊǶàÏîʽÏà¼Ó:\n");
f=creat('f');//ÊäÈë¶àÏîʽf(x)
printf("f(x)=");
print(f);
g=creat('g');//ÊäÈë¶àÏîʽg(x)
printf("g(x)=");
print(g);
printf("F(x)=f(x)+g(x)=");
f=addPLOY(f,g);//Á½¸ö¶àÏîʽÏà¼Ó
print(f);
sign=-1;//¸´Î»±êÖ¾
start();//»Ø¸´Óû§Ñ¡Ôñ½çÃæ
break;
}
case 2:
{
printf("ÄãÑ¡ÔñµÄ²Ù×÷ÊǶàÏîʽÏà³Ë:\n");
f=creat('f');//ÊäÈë¶àÏîʽf(x)
printf("f(x)=");
print(f);
g=creat('g');//ÊäÈë¶àÏîʽg(x)
printf("g(x)=");
print(g);
printf("F(x)=f(x)*g(x)=");
f=byPLOY(f,g);//Á½¸ö¶àÏîʽÏà¼Ó
print(f);
sign=-1;//¸´Î»±êÖ¾
start();//»Ø¸´Óû§Ñ¡Ôñ½çÃæ
break;
}
case 3:
{
printf("ÄãÑ¡ÔñµÄ²Ù×÷ÊǶàÏîʽÏà¼õ:\n");
f=creat('f');//ÊäÈë¶àÏîʽf(x)
printf("f(x)=");
print(f);
g=creat('g');//ÊäÈë¶àÏîʽg(x)
printf("g(x)=");
print(g);
printf("F(x)=f(x)-g(x)=");
f=byPLOY(f,g);//Á½¸ö¶àÏîʽÏà¼Ó
print(f);
sign=-1;//¸´Î»±êÖ¾
start();//»Ø¸´Óû§Ñ¡Ôñ½çÃæ
break;
}

default:
{
printf("ÊäÈëÓÐÎó!ÇëÖØÐÂÑ¡Ôñ²Ù×÷!\n");//Ñ¡Ôñ´íÎó,·µ»ØÑ¡Ôñ½çÃæ
start();
break;
}
}
}
}
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