public class Rational {

	/////////
	// Fields

	private static int numRationals = 0;
	private int numerator		= 0;	// Zähler
	private int denominator		= 0;	// Nenner




	///////////////
	// Constructors

	public Rational() {
		incCount();
	}

	public Rational(int numerator) {
		this(numerator,1);
	}

	public Rational(int numerator, int denominator) {
		this.denominator = denominator;	// this als Bereichsoperator
		this.numerator = numerator;
		incCount();
	}




	//////////////
	// Manipulator

	public void setDenominator(int value) {
		denominator = value;
	}

	public void setNumerator(int value) {
		numerator = value;
	}




	////////////
	// Selectors

	public int getDenominator() {
		return denominator;
	}

	public int getNumerator() {
		return numerator;
	}




	//////
	// Add:
	// Addiert zu dieser rationalen Zahl die rationale Zahl toadd.

	public void add(Rational toadd) {
		numerator = numerator * toadd.denominator + toadd.numerator * denominator;
		denominator *= toadd.denominator;
	}

	public static Rational xadd(Rational A, Rational B) {
		return new Rational(
			A.numerator * B.denominator +
			B.numerator * A.denominator,
			A.denominator * B.denominator
		);
	}




	////////
	// Print

	public String toString() {
		return "Rational: (" + numerator + "/" + denominator +")";
	}




	/////////////////
	// Privat-Section

	private void incCount() {
		numRationals ++;
	}

	private static int getRationals() {
		return numRationals;
	}
}