My question is very simple. How would one take the floor of a complex number and what is the floor of i?
Momo's answer is probably more official, but there could be another definition as follows:
$$\lfloor a + bi \rfloor = n(a+bi)$$ where $n$ is a positive real number $\le 1$ such that $$|\lfloor a+bi \rfloor | = \lfloor |a+bi| \rfloor$$
In other words, keep the same angle and reduce the absolute value to the next integer.