public class Rational extends Number implements Comparable { // Data fields for numerator and denominator private long numerator = 0; private long denominator = 1; /** Construct a rational with default properties */ public Rational() { this(0, 1); } /** Construct a rational with specified numerator and denominator */ public Rational(long numerator, long denominator) { long gcd = gcd(numerator, denominator); this.numerator = ((denominator > 0) ? 1 : -1) * numerator / gcd; this.denominator = Math.abs(denominator) / gcd; } /** Find GCD of two numbers */ private static long gcd(long n, long d) { long n1 = Math.abs(n); long n2 = Math.abs(d); int gcd = 1; for (int k = 1; k <= n1 && k <= n2; k++) { if (n1 % k == 0 && n2 % k == 0) gcd = k; } return gcd; } /** Return numerator */ public long getNumerator() { return numerator; } /** Return denominator */ public long getDenominator() { return denominator; } /** Add a rational number to this rational */ public Rational add(Rational secondRational) { long n = numerator * secondRational.getDenominator() + denominator * secondRational.getNumerator(); long d = denominator * secondRational.getDenominator(); return new Rational(n, d); } /** Subtract a rational number from this rational */ public Rational subtract(Rational secondRational) { long n = numerator * secondRational.getDenominator() - denominator * secondRational.getNumerator(); long d = denominator * secondRational.getDenominator(); return new Rational(n, d); } /** Multiply a rational number to this rational */ public Rational multiply(Rational secondRational) { long n = numerator * secondRational.getNumerator(); long d = denominator * secondRational.getDenominator(); return new Rational(n, d); } /** Divide a rational number from this rational */ public Rational divide(Rational secondRational) { long n = numerator * secondRational.getDenominator(); long d = denominator * secondRational.numerator; return new Rational(n, d); } /** Override the toString() method */ public String toString() { if (denominator == 1) return numerator + ""; else return numerator + "/" + denominator; } /** Override the equals method in the Object class */ public boolean equals(Object parm1) { if ((this.subtract((Rational)(parm1))).getNumerator() == 0) return true; else return false; } /** Override the abstract intValue method in java.lang.Number */ public int intValue() { return (int)doubleValue(); } /** Override the abstract floatValue method in java.lang.Number */ public float floatValue() { return (float)doubleValue(); } /** Override the doubleValue method in java.lang.Number */ public double doubleValue() { return numerator * 1.0 / denominator; } /** Override the abstract longValue method in java.lang.Number */ public long longValue() { return (long)doubleValue(); } /** Override the compareTo method in java.lang.Comparable */ public int compareTo(Object o) { if ((this.subtract((Rational)o)).getNumerator() > 0) return 1; else if ((this.subtract((Rational)o)).getNumerator() < 0) return -1; else return 0; } }