
Hi folks. I'm trying to write a Mandelbrot generator, and I've having a few problems with precision. First of all, currently I'm just using Double to represent coordinates. Can anybody tell me what the smallest value you can represent with one is? (Not including denormals.) (I've built a function that checks for cycles in the orbit - by looking for previous points that are sufficiently "near" to the current one. But I want to know how much precision a Double gives me so I can figure out how near is "near".) Next up, at some point I'm going to need more precision than a Double can give me. (But, obviously, I still want the thing to go as fast as humanly possible.) In particular, I do NOT want to go into "infinite" precision. (E.g., exact arithmetic with arbitrary fractions.) I want to be able to make the precision arbitrarily high, but still finite and fixed. (The idea being that the further you zoom in, the more the computer turns up the precision.) Is there anything useful for this in the standard libraries? Or will I have to write something?