HP 12C Speed Test

[Thomas Klemm]

(12-27-2022 02:14 PM)ctrclckws Wrote:  A better test is the calculation of Pi program at this page.
https://www.hpmuseum.org/cgi-sys/cgiwrap...i?read=899

Quote:based on:
-------------------------------------------------------------------------
pi = 2 x sigma[i,1,1,log2(10)*N,i/(2*i+1)]
= 2 + 1/3 * (2 + 2/5 * (2 + 3/7 * (2 + 4/9 * (2 + ......

where N = number of decimal digits

From Calculating Digits of \(\pi\):

Quote:Here's the interesting relation to \(\pi\):

\(
\begin{align}
\pi = 2 + \frac{1}{3}\left(2 + \frac{2}{5}\left(2 + \frac{3}{7}\left(2 + \cdots \right)\right)\right)
\end{align}
\)

Thus we can write in this specific basis: \(\pi = 2.2222\cdots\).

Apparently a spigot algorithm was used.
Cf. A Spigot Algorithm for the Digits of Pi