07/10/2019, 12:46 PM

I have been a big pressure test for fatou.gp in one month.

In the post(https://math.eretrandre.org/tetrationfor...p?pid=8952) I say is ill-region for fatou.gp. In fact, the ill-region for slog is little bigger the sexp.

But, There's look like other problem out of the ill-region.This gif is slog for base = Pi*(-1)^(x/30), 0<=x<=59.

You can see the program be pathological close to branch cut.

This plot is slog for Sheldon base. It look like well-behaved.

This plot is slog for base = eta. It look like well-behaved too.

base = -eta. It look like pathological.

base = sqrt(2). It look like well-behaved.

base = -sqrt(2).

base = (-1)^(1/100). It's the closest base to 1. Is look like well-behaved? No, the program crash when Im(z)>

base = 0.8.

base = -0.105. It's the closest base to 0.

In the post(https://math.eretrandre.org/tetrationfor...p?pid=8952) I say is ill-region for fatou.gp. In fact, the ill-region for slog is little bigger the sexp.

But, There's look like other problem out of the ill-region.This gif is slog for base = Pi*(-1)^(x/30), 0<=x<=59.

You can see the program be pathological close to branch cut.

This plot is slog for Sheldon base. It look like well-behaved.

This plot is slog for base = eta. It look like well-behaved too.

base = -eta. It look like pathological.

base = sqrt(2). It look like well-behaved.

base = -sqrt(2).

base = (-1)^(1/100). It's the closest base to 1. Is look like well-behaved? No, the program crash when Im(z)>

base = 0.8.

base = -0.105. It's the closest base to 0.