A program for determining luck/morality in Heroes 3!

Of course, if such a program is created, skills like luck and morale will become almost unnecessary, but it's still worth writing it.

If there is no luck and morale skill, it means it will be neutral, or +1 morale (if the troops are from the same city). Is it possible to achieve a positive morale and luck result with the help of a program?
In short, with a neutral setting, is it possible to get luck/morale bonuses?