Unlocking the Power of Complex Numbers
When it comes to mathematical operations, complex numbers can be a daunting task. But fear not, for we’re about to break down the process of adding two complex numbers into manageable chunks.
The Anatomy of a Complex Number
A complex number consists of two parts: the real part and the imaginary part. In our program, we create a class called Complex with two member variables: real and imag. As the names suggest, real stores the real part of the complex number, while imag stores the imaginary part.
Constructing the Complex Class
Our Complex class has a constructor that initializes the values of real and imag. This ensures that our complex numbers are properly set up for mathematical operations.
The Add Function: Where the Magic Happens
The add function is where the real magic happens. This static function takes two complex numbers as parameters and returns the result as a complex number. But how does it work? Simply put, it adds the real and imaginary parts of the two complex numbers, stores the result in a new variable temp, and returns temp.
Bringing it All Together
In our main function, we create two complex numbers, n1 and n2, and pass them to the add function. The result is then printed using the printf function, giving us the sum of the two complex numbers.
Java Code Equivalent
But what about Java enthusiasts? Fear not, for we’ve got you covered. Here’s the equivalent Java code to add two complex numbers:
“`java
public class Complex {
private double real;
private double imag;
public Complex(double real, double imag) {
this.real = real;
this.imag = imag;
}
public static Complex add(Complex n1, Complex n2) {
double tempReal = n1.real + n2.real;
double tempImag = n1.imag + n2.imag;
return new Complex(tempReal, tempImag);
}
public static void main(String[] args) {
Complex n1 = new Complex(1, 2);
Complex n2 = new Complex(3, 4);
Complex result = add(n1, n2);
System.out.println("The sum is: " + result.real + " + " + result.imag + "i");
}
}
“`