Deep zoom

[solendil]

Implement a deep zoom mechanism to be triggered when standard precision limit has been reached

[dbkaplun]

decimal.js supports arbitrary-precision numbers, docs here: https://github.com/MikeMcl/decimal.js/#use

[solendil]

Thank you for the link, @dbkaplun.

I have two concerns for the moment:

1. Switching from JIT-optimized doubles to arbitrary precision objects will probably incur a spectacular drop in performance... I shall test this before implementing.
2. I would like the renderer to switch to arbitrary precision only when needed, which means that I would need two rendering function for every fractal type: one for standard rendering, one for deep rendering, unless there is kind of a compiler being able to translate one into another.

For reference, there is this wonderful mathematical work that allows arbitrary precision at very high speed. Downsides: it works only for Mandelbrot, it requires a complex and dedicated algorithm. http://www.superfractalthing.co.nf/sft_maths.pdf

[solendil]

As I feared, using Decimal.js is consistently 1000 times slower (37seconds instead of 41ms) to render a single frame with only 16 digits of precision... :(

[munrocket]

double.js much faster than decimal.js and extends precision. Same techniques with float numbers used in deepzoom programs like Kalles Fractaler.