mandelbrot

Overview ¶

Rendering fractals at high zoom levels demands great arithmetic precision. Implement the same fractal using four different representations of numbers: `complex64`, `complex128`, `big.Float`, and `big.Rat`. (The latter two types are found in the `math/big` package. `Float` uses arbitrary but bounded-precision floating-point; `Rat` uses unbounded-precision rational numbers.) How do they compare in performance and memory usage? At what zoom levels do rendering artefacts become visible?