//
//		MIF.c is a program taking in three floats from standard in,
//	and returns a table with values of sine computed for x from xMin to
//	xMax in steps of size dx.  The values are computed using the 5th degree
//	Taylor Polynomial in the Horner form and the sine function in the math.h
//	library.
//
#include<stdio.h>
#include<math.h>

float horner(float);

int main(void)
{
 float xMin, xMax, dx, x, s, f;
 int i; 

 scanf("%f %f %f",&xMin, &xMax, &dx);
//	Checks if xMin is less than xMax, and exits if not.
 if(xMin>xMax) return 1;

 printf("xMin = %f\txMax = %f\t\tdx = %f\n",xMin, xMax, dx);
 printf("n\t\tx\t\t\tCsin\t\t\tMsin\t\t\tRelative Error\n");
 
 for(i=1,x=xMin;x<xMax;x+=dx,i+=1)
 {
  s=sinf(x);
  f=horner(x);
  printf("%i\t\t%1.6f\t\t%1.6f\t\t%1.6f\t\t%1.6f\n",i,x,s,f,(s-f)/s);
 }
 
 return 0;
}