(Use BigIntegerfor the Rationalclass) Redesign and implement the Rational class in Listing...

(Use BigIntegerfor the Rationalclass) Redesign and implement the Rational class in Listing 1 using BigInteger for the numerator and denominator.

LISTING 1 Rational.java

1 public class Rational extends Number implements Comparable {
2 // Data fields for numerator and denominator
3 private long numerator = 0;
4 private long denominator = 1;
5
6 /** Construct a rational with default properties */
7 public Rational() {
8 this(0, 1);
9 }
10
11 /** Construct a rational with specified numerator and denominator */
12 public Rational(long numerator, long denominator) {
13 long gcd = gcd(numerator, denominator);
14 this.numerator = ((denominator > 0) ? 1 : -1) * numerator / gcd;
15 this.denominator = Math.abs(denominator) / gcd;
16 }
17
18 /** Find GCD of two numbers */
19 private static long gcd(long n, long d) {
20 long n1 = Math.abs(n);
21 long n2 = Math.abs(d);
22 int gcd = 1;
23
24 for (int k = 1; k <= n1 && k <= n2; k++) {
25 if (n1 % k == 0 && n2 % k == 0)
26 gcd = k;
27 }
28
29 return gcd;
30 }
31
32 /** Return numerator */
33 public long getNumerator() {
34 return numerator;
35 }
36
37 /** Return denominator */
38 public long getDenominator() {
39 return denominator;
40 }
41
42 /** Add a rational number to this rational */
43 public Rational add(Rational secondRational) {
44 long n = numerator * secondRational.getDenominator() +
45 denominator * secondRational.getNumerator();
46 long d = denominator * secondRational.getDenominator();
47 return new Rational(n, d);
48 }
49
50 /** Subtract a rational number from this rational */
51 public Rational subtract(Rational secondRational) {
52 long n = numerator * secondRational.getDenominator()
53 - denominator * secondRational.getNumerator();
54 long d = denominator * secondRational.getDenominator();
55 return new Rational(n, d);
56 }
57
58 /** Multiply a rational number by this rational */
59 public Rational multiply(Rational secondRational) {
60 long n = numerator * secondRational.getNumerator();
61 long d = denominator * secondRational.getDenominator();
62 return new Rational(n, d);
63 }
64
65 /** Divide a rational number by this rational */
66 public Rational divide(Rational secondRational) {
67 long n = numerator * secondRational.getDenominator();
68 long d = denominator * secondRational.numerator;
69 return new Rational(n, d);
70 }
71
72 @Override
73 public String toString() {
74 if (denominator == 1)
75 return numerator + "";
76 else
77 return numerator + "/" + denominator;
78 }
79
80 @Override // Override the equals method in the Object class
81 public boolean equals(Object other) {
82 if ((this.subtract((Rational)(other))).getNumerator() == 0)
83 return true;
84 else
85 return false;
86 }
87
88 @Override // Implement the abstract intValue method in Number
89 public int intValue() {
90 return (int)doubleValue();
91 }
92
93 @Override // Implement the abstract floatValue method in Number
94 public float floatValue() {
95 return (float)doubleValue();
96 }
97
98 @Override // Implement the doubleValue method in Number
99 public double doubleValue() {
100 return numerator * 1.0 / denominator;
101 }
102
103 @Override // Implement the abstract longValue method in Number
104 public long longValue() {
105 return (long)doubleValue();
106 }
107
108 @Override // Implement the compareTo method in Comparable
109 public int compareTo(Rational o) {
110 if (this.subtract(o).getNumerator() > 0)
111 return 1;
112 else if (this.subtract(o).getNumerator()<0)
113 return -1;
114 else
115 return 0;
116 }
117 }