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    That may be useful for studying computer science to see how to do it manually, so as to teach yourself, but that is not what I am asking! If you are going to reinvent the wheel doing it manually like that, then it should be at least with the advantage of increased efficiency or some advantage like increase in the size of the values it can cope with. I don't see any discussion from you stating any such advantage there. Commented Nov 7, 2017 at 15:41