/*Plotting a Harmonic FUNction
*Computational Methods Checkpoint 1
*Due 7 October, 2011 at 17:00
*By Marc Langer
*/

//*Importing necessary functionality
import java.io.*;
import java.lang.Math.*;

//Standard Introduction
public class HarmonicPLotter {
    public static void main(String [] argv) throws IOException {


    //take filename from the argument
    String fileName = argv[0];

    //create output file
    PrintWriter output = new PrintWriter(new FileWriter(fileName));


  //here's where I think I need to get a for loop to get the iteratively expanding sum

    //Defining the number of points we want to plot
    int kmax = 360;
    //Creating a loop. We will need this to get many values of our function for different input values.
    for (int k = 0; k<kmax; k++) {

/*For each value of k in the loop we want to map the interger k to a value between (-Pi and Pi Radians. To do this we define a "double" and mupltiply the value k by 2Pi/(kmax = 360) */

    double x = Math.PI*2.0*k/kmax - Math.PI;

  //Calculate value of function of x.
    double f = Function(x);


    //Printing to the output file and closing it.
    output.printf("%10.5f %10.5f\n", x, f);


output.close();
    }}}
static double Function(double x){
//Defining and Evaluating our Harmonic Function

return Math.sin((n+1)*x)/(n+1);

}


}