p(x_n)&=a_0 + a_1 x_n + a_2 x_n^2 + \cdots a_n x_n^n = y_n\\
What I thought was pretty neat is that implementing all this from scratch leaves a lot of room for optimization. For example, multiplication by 2 can be implemented much more efficiently than the generic algorithm for multiplication using triangle similarity. Then, implementing modulo by first removing the highest power of two times the modulus from the dividend yielded much better results than the naive implementation.
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In my DisplayManager implementation I present you with a simple case. The default constructor can be defaulted since DisplayManager only holds an object of type Resolution, a class enum which boils down to an integer type. I don't need any code inside the constructors body. There are cases when this doesn't apply and you need to write code for the constructor body. By that, we can distinguish two cases here: