/*
 *  ===================================================================
 *  GeometricSeries.java : Compute sum of a geometric series of complex
 *                         objects.                  
 *
 *  Written By: Mark Austin                                  April 2009
 *  ===================================================================
 */

import java.lang.Math;
import java.util.*;
import java.io.*;

public class GeometricSeries {

   public static void main( String args[] ) {
   Complex cA = new Complex();
   int    NoTermsInSeries;
   String sLine;

      // Print Welcome Message 

      System.out.println("Welcome to the Geometric Series Computer");
      System.out.println("-----------------------------------------");

      // Prompt user for coefficients in geometric series...

      System.out.println("Please enter complex number \"a\"");

      // Coefficient cA ....

      System.out.print("Coefficent a : Real : ");
      sLine    = getTextFromConsole();
      cA.dReal = Double.valueOf(sLine).doubleValue();

      System.out.print("Coefficent a : Imaginary : ");
      sLine         = getTextFromConsole();
      cA.dImaginary = Double.valueOf(sLine).doubleValue();

      // Number of terms in the series .....

      System.out.println("Please enter number of terms in series \"a\"");

      System.out.print("No of terms in series : ");
      sLine = getTextFromConsole();
      NoTermsInSeries = Integer.valueOf(sLine).intValue();

      // Print details of input to screen ...

      System.out.print("The complex no you have entered is :");
      System.out.println("s = " + cA.toString() );
      System.out.println("No of terms in series is = " + NoTermsInSeries );
    
      // Check that NoTermsInSeries is greater than or equal to one..

      if ( NoTermsInSeries < 1 ) {
         System.out.println("ERROS: No of terms in series must be at least one:");
         return;
      } 

      // Use basic for loop to compute sumation of geometric series .....

      System.out.println( "Summation with basic for-loop        " );
      System.out.println( "======================================= " );

      Complex cSum = new Complex();
      for (int ii = 1; ii <= NoTermsInSeries; ii = ii + 1) {

          // Compute s^(ii) ......

             // .... fill in details here ....

          // Add s^(ii) to series sum ......

          cSum = cSum.Add( cB );
      }

      System.out.println( "Summation 1 = " + cSum.toString() );

      // Compute sum of geometric series using Horner's rule ....

      System.out.println( "" );
      System.out.println( "Summation using Horner's formula" );
      System.out.println( "======================================= " );

      Complex cI = new Complex();
      cI.dReal = 1.0; cI.dImaginary = 0.0;

      // Fill in details here .....

      for (int ij = 1; ij <= NoTermsInSeries - 1; ij = ij + 1) {

           // Fill in details here .....

      } 

      System.out.println( "Summation 2 = " + cSum2.toString() );

      // Use geometric formula to series sum....

      System.out.println( "" );
      System.out.println( "Summation with geometric-series formula " );
      System.out.println( "======================================= " );

      Complex cB = new Complex();
      for (int ij = 1; ij <= NoTermsInSeries; ij = ij + 1) {

           // fill in details here ......

      } 

      // fill in details here ......

   }

   /* 
    *  ============================================================
    *  Method getTextFromConsole(): Read line of text from console
    *                               (keyboard input)....
    *
    *  Input  : None.
    *  Output : String inLine -- character string of keyboard input
    *  ============================================================
    */

    public static String getTextFromConsole() {
       String inLine = "";

       // Create buffered reader for keyboard input stream....

       BufferedReader inStream = new BufferedReader (
                                 new InputStreamReader(System.in));

       // Try to read input from keyboard ....

       try {
          inLine = inStream.readLine();
       } catch (IOException e) {
          System.out.println("IOException: " + e);
       }

       return inLine;
    }
}