As I have already said, and I am an electronics engineer, the design of any electrical or electronic system, including anything that uses AC power, can be done faster and with less numerical errors, if instead of using complex exponentials one uses 2 other exponential functions: "2^x" and "1^x", with arguments and value domains as I have written above.
Unfortunately, this requires the use of a custom library of transcedental functions, because the standard libraries of most programming languages provide only the functions with arguments in nepers and radians.
The standard C library has attempted to add the missing functions, but for a completely impossible to understand reason the standard has defined wrongly the trigonometric functions, requiring arguments measured in half cycles, instead of cycles.
This is an extraordinarily stupid mistake, but at least if a standard C library implementation has all the functions, it is easy to modify the sources of the trigonometric functions with arguments in half cycles, to take arguments in cycles instead.
