#include <iostream>
#include <cmath>
using namespace std;

// uses Taylor series about x= 0 to find sine also finds limit//
double sine( double x, double tolerance, int & limit ) {
       double term = x;
       double lastTerm = 0.0;
       int i = 1;
       do {
           term = -(lastTerm * x * x) / ((2 * i) * (2 * i + 1));
           lastTerm = term;
           i += 1;
       }while(fabs(term - lastTerm) > tolerance);
       limit = i;
       return term;
}
   
int fillVector( double first, double last, double increment, int size, double data[ ] ) {
   int i;
   double min, max;
   data[0]= min;
    for( i = 1; i<size &&data[i-1]<max; i++){
    data[i]= data[i-1]+increment;
     return i;        
    }

    int xSineX( double x[ ], double result[ ], int size, double tolerance, int limit )
    {
        int count;
        count= (max-min)/increment +1;
        for (i=1; i<count; i++){
        x [0]=  min + increment*i;
       
   results[0]= x * sin (x);