#include<stdio.h>
struct frac {
int up;
int down;
} ;
void FracPrint(struct frac a)
{
if(a.down == 1) printf("%d",a.up);
else printf("%d / %d",a.up,a.down);
}
/* reduce fraction */
struct frac FracReduce(struct frac a)
{ struct frac res;
int i,tmp;
res.up=a.up; res.down=a.down;
if(a.up > a.down) tmp=a.down;
else tmp=a.up;
for(i=2;i<=tmp;i++)
if( (res.up % i == 0) && (res.down % i ==0) )
{ res.up = res.up/i; res.down=res.down/i;
i--;
}
return res;
}
/* add two fractions */
struct frac FracAdd(struct frac a, struct frac b)
{ struct frac res;
if((a.up)==0) return b;
if((b.up)==0) return a;
res.up = a.up*b.down + b.up*a.down;
res.down=a.down*b.down;
res = FracReduce(res);
return res;
}
/* multiply two fractions */
struct frac FracMult(struct frac a, struct frac b)
{ struct frac res;
res.up = a.up*b.up;
res.down=a.down*b.down;
res = FracReduce(res);
return res;
}
/* read fraction from terminal */
struct frac FracRead(void)
{ struct frac a;
printf("chislitel = ");
scanf("%d",&a.up);
printf("znamenatel = ");
scanf("%d",&a.down);
return a;
}
int main(void)
{
struct frac x;
struct frac a;
struct frac y;
FILE* F;
char fname[]="polynom.txt";
int i=0;
printf("Vvedite x:\n");
x=FracRead();
printf("Vy vveli x = ");FracPrint(x);
x=FracReduce(x);
printf(" ( Posle sokrasheniya x = ");FracPrint(x);printf(" )\n");
printf("Polynom zadan v fajle %s koefficientami:\n",fname);
F=fopen(fname,"r");
y.up=0;y.down=0;
while(!feof(F))
{
fscanf(F,"%d",&a.up);
fscanf(F,"%d",&a.down);
if(!feof(F))
{
printf("a_n-%d = ",i++);FracPrint(a);printf("\n");
y = FracAdd(a,FracMult(x,y));
}
}
printf("Znachenie polynoma v tochke x = ");FracPrint(x);
printf(" : y(x) = ");FracPrint(y);printf("\n");
fclose(F);
return 0;
}
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