ComplexNumberMultiply.java

package com.thealgorithms.strings;

/**
 * Multiplies two complex numbers represented as strings in the form "a+bi".
 *
 * Example:
 * Input: 1+1i , 1+1i
 * Output: 0+2i
 */
public final class ComplexNumberMultiply {

    private ComplexNumberMultiply() {
    }

    private static int[] parse(String num) {
        String[] parts = num.split("\\+");
        int real = Integer.parseInt(parts[0]);
        int imaginary = Integer.parseInt(parts[1].replace("i", ""));
        return new int[] {real, imaginary};
    }

    public static String multiply(String num1, String num2) {
        int[] a = parse(num1);
        int[] b = parse(num2);

        int real = a[0] * b[0] - a[1] * b[1];
        int imaginary = a[0] * b[1] + a[1] * b[0];

        return real + "+" + imaginary + "i";
    }

    public static void main(String[] args) {
        System.out.println(multiply("1+1i", "1+1i"));
    }
}