Refine the complex number class in C#

This example shows how to refine the complex number class defined by the example Make a complex number class that works with real numbers in C#. That example explains how to build a Complex class that represents complex numbers. It uses operator overloading to determine how to apply the +, -, *, and / operators to two Complex objects.

It also uses operator overloading to define operators that combine a Complex with a double and a double with a Complex. But there’s an easier way.

If you make a conversion operator to allow the program to implicitly convert a double into a Complex, then you don’t need to define operators for combining double and Complex values. When the program needs to perform that type of operation, it automatically promotes the double to a Complex and then uses the Complex operators to perform the calculation.

The following code shows this example’s double-to-Complex conversion operator.

// Double to Complex conversion.
// The implicit keyword means you don't need a cast.
public static implicit operator Complex(double real)
{
    return new Complex(real);
}

This example’s Complex class doesn’t contain all of the operators for manipulating double values so it’s simpler than the previous version.