tet complex tetration to any precision

Precision (decimal digits)

Function

tet: the value b^^h

ate (slog): the height h with b^^h = z

ssrt (sroot): the base b with b^^h = z

Arguments

2 complex numbers

4 real numbers (real and imaginary parts)

base b

height h

Each argument is a number or a constant expression: 2, -0.5, 1.5+0.5i, pi, e^(1/e), sqrt(2), 2^^0.5, ate(2, 16). Of four numbers each must be real. Syntax, constants and functions.

API: /?prec=20&func=tet&base=2&height=0.5, /?func=ate&base=2&value=65536, /?func=ssrt&value=16&height=3, or with four real numbers /?func=tet&base_re=1.5&base_im=0.5&height_re=1&height_im=0.7. The reply is JSON; &format=text gives the two lines that tet prints. In such a URL a + is a plus sign and a space is %20.

Results are computed by tet on this server, to as many digits as are asked for, and kept in memory until the server restarts. A calculation that is not ready after 2 minutes continues there, for up to 3 hours: this page then asks again by itself, and the same request made later, here or to the API, finds the calculation running, or its result. At most 4 calculations run at a time: while all of them are busy a new one is turned away, to be asked for again later. Source: claude-tetration (AGPL-3.0), revision 416b17b+.