92 lines
2.2 KiB
Java
92 lines
2.2 KiB
Java
import java.math.BigInteger;
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public class Rational implements Comparable<Rational> {
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public static final Rational ZERO = new Rational(0);
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public static final Rational ONE = new Rational(1);
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public static final Rational POSITIVE_INFINITY = new Rational(1, 0);
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public static final Rational NEGATIVE_INFINITY = new Rational(-1, 0);
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final BigInteger num;
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final BigInteger den;
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public Rational(BigInteger num, BigInteger den) {
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BigInteger gcd = num.gcd(den);
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BigInteger g = den.signum() > 0 ? gcd : den.signum() > 0 ? gcd.negate() : BigInteger.ONE;
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this.num = num.divide(g);
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this.den = den.divide(g);
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}
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public Rational(long num, long den) {
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this(BigInteger.valueOf(num), BigInteger.valueOf(den));
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}
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public Rational(long num) {
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this.num = BigInteger.valueOf(num);
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this.den = BigInteger.ONE;
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}
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public Rational add(Rational r) {
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return new Rational(num.multiply(r.den).add(r.num.multiply(den)), den.multiply(r.den));
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}
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public Rational sub(Rational r) {
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return new Rational(num.multiply(r.den).subtract(r.num.multiply(den)), den.multiply(r.den));
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}
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public Rational mul(Rational r) {
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return new Rational(num.multiply(r.num), den.multiply(r.den));
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}
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public Rational div(Rational r) {
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return new Rational(num.multiply(r.den), den.multiply(r.num));
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}
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public Rational negate() {
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return new Rational(num.negate(), den);
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}
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public Rational inverse() {
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return new Rational(den, num);
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}
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public Rational abs() {
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return new Rational(num.abs(), den);
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}
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public int signum() {
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return num.signum();
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}
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public double doubleValue() {
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return num.doubleValue() / den.doubleValue();
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}
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public long longValue() {
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return num.longValue() / den.longValue();
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}
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public int compareTo(Rational other) {
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return (num.multiply(other.den).compareTo(other.num.multiply(den)));
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}
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public boolean equals(Object obj) {
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return num.equals(((Rational) obj).num) && den.equals(((Rational) obj).den);
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}
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public int hashCode() {
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return num.hashCode() * 31 + den.hashCode();
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}
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public String toString() {
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return num + "/" + den;
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}
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// Usage example
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public static void main(String[] args) {
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Rational a = new Rational(1, 3);
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Rational b = new Rational(1, 6);
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Rational c = new Rational(1, 2);
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System.out.println(true == c.equals(a.add(b)));
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}
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}
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