Introduce infinite zoom
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OmerRosler commented
We want infinite zoom-in ability for all fractals.
The problem is that the current algorithm works with points i.e. double
s and when the zoom-in is large enough we run into the precision limit.
We could work around it if we introudce a "reference point", and instead of working with points, we work relative to this reference. Then we would mathematically know "the first k digits" agree, and only calculate with residues.
This can be done in two ways:
- Ad-hoc, where the reference is chosen explicitly in the algorithms.
- Use infinite-precision library, but that is problematic as the reference choice is part of the algorithm