109 lines
3.1 KiB
Java
109 lines
3.1 KiB
Java
package Rational;
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public class Rational {
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private int numerator;
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private int denominator;
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// Constructor
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public Rational(int numerator, int denominator) {
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if (denominator == 0) {
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throw new IllegalArgumentException("Denominator cannot be zero");
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}
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this.numerator = numerator;
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this.denominator = denominator;
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simplify();
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}
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// GCD helper for simplification
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private int gcd(int a, int b) {
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a = Math.abs(a);
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b = Math.abs(b);
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while (b != 0) {
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int temp = b;
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b = a % b;
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a = temp;
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}
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return a;
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}
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// Simplify the fraction
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private void simplify() {
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int gcd = gcd(numerator, denominator);
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numerator /= gcd;
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denominator /= gcd;
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// Keep denominator positive
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if (denominator < 0) {
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numerator = -numerator;
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denominator = -denominator;
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}
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}
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// COMPLETED - Instance method: this + other
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public Rational add(Rational other) {
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int newNumerator = this.numerator * other.denominator + other.numerator * this.denominator;
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int newDenominator = this.denominator * other.denominator;
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return new Rational(newNumerator, newDenominator);
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}
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// COMPLETED - Static method: r1 + r2
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public static Rational add(Rational r1, Rational r2) {
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return r1.add(r2);
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}
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// TODO: Instance method - this - other
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// Formula: a/b - c/d = (a*d - c*b) / (b*d)
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public Rational subtract(Rational other) {
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// YOUR CODE HERE
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return null; // Remove this line when implemented
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}
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// TODO: Static method - r1 - r2
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public static Rational subtract(Rational r1, Rational r2) {
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// YOUR CODE HERE
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return null; // Remove this line when implemented
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}
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// TODO: Instance method - this * other
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// Formula: (a/b) * (c/d) = (a*c) / (b*d)
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public Rational multiply(Rational other) {
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// YOUR CODE HERE
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return null; // Remove this line when implemented
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}
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// TODO: Static method - r1 * r2
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public static Rational multiply(Rational r1, Rational r2) {
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// YOUR CODE HERE
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return null; // Remove this line when implemented
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}
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// TODO: Instance method - this / other
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// Formula: (a/b) ÷ (c/d) = (a*d) / (b*c)
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public Rational divide(Rational other) {
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// YOUR CODE HERE
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// HINT: Division is multiplication by reciprocal
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// Don't forget to check if other.numerator is zero!
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return null; // Remove this line when implemented
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}
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// TODO: Static method - r1 / r2
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public static Rational divide(Rational r1, Rational r2) {
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// YOUR CODE HERE
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return null; // Remove this line when implemented
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}
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// PROVIDED - String representation
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@Override
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public String toString() {
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if (denominator == 1) {
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return numerator + "";
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}
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return numerator + "/" + denominator;
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}
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// PROVIDED - Decimal value
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public double toDouble() {
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return (double) numerator / denominator;
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}
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}
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