//*****************************************************************************
//
// Beenish Chaudry, Geetika Tewari, Elif Tosun and
// Ileana Streinu
//
// Summer 1999, Fall 1999, Spring 2000
//
//*****************************************************************************
//
//   Rational.java
//
//*****************************************************************************

import java.awt.*;
import java.awt.event.*;
import java.lang.*;
import java.io.*;
import java.util.*;




public class Rational {
int d, n;


  //************************
  //
  // Rational constructor
  //
  //************************

public Rational (int a, int b) 
{
    n = a;
    d = b;

} // end constructor

  //************************
  //
  // Print
  //
  //************************

public void Print()
{
  System.out.println("( "+ n +", " + d + ")");
 
}// end Print

  //************************
  //
  // ToString
  //
  //************************

public String ToString()
{

return("( "+ n +", " + d + ")");

}// end ToString

  //************************
  //
  // AddR
  //
  //************************


public Rational AddR (Rational a) 
{
     
Rational b = new Rational(1, 1);
if(d == a.d) 
  {
    b.d = d;
    b.n = n + a.n;
  }

else
  {
    b.n = (n*a.d)+(d*a.n); 
    b.d = d*a.d;
  };

return b;  

}// end AddR

  //************************
  //
  // SubR
  //
  //************************

public Rational SubR (Rational a) 
{
    
Rational b = new Rational(1, 1);

if(d == a.d) 
  {
    b.d = d;
    b.n = n - a.n;
  }

else
  {
    b.n = (n*a.d)-(d*a.n); 
    b.d = d*a.d;
  };

return b;  

}// end SubR


  //************************
  //
  // MulR
  //
  //************************

public Rational MulR (Rational a) 
{
 
Rational b = new Rational(1, 1);

b.n = n*a.n;
b.d = d*a.d;

    return b; 

} // end MulR


  //************************
  //
  // DivR
  //
  //************************

public Rational DivR (Rational a) 
{
 
Rational b = new Rational(1, 1);

b.n = n*a.d;
b.d = d*a.n;

if (b.d == 0) return(Constants.Infinity);

return b; 

} // end DivR


  //************************
  //
  // RelToAbs
  //
  //************************

public int RelToAbs(int trans, Rational unitL, int sig) 
{

Rational tmp = this.MulR(unitL);

int a = tmp.n/tmp.d;

a = a*sig + trans; // careful about the sign of translation ????
return(a);

} // end RelToAbs


 //************************
  //
  // Reset
  //
  //************************

public void Reset () {
    this.n = 1;
    this.d = 1;
}


} // end class Rational