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Gerson W. Barbosa · (This post was last modified: 03-15-2023 03:29 PM by Gerson W. Barbosa.)

(03-15-2023 07:21 AM)Massimo Gnerucci Wrote: 27+ hours?!?

Yes, 27h07m04s to be exact. I was expecting it to last about 24 hours, by my estimation has gone a bit wrong. This one was not meant to be fast.

I have used probably the worst method to compute \(\pi\) ever, the Wallis Product multiplied by a correction factor, which requires a lot of full-precision multiplication and divisions:

[Image: 52749526175_96da36e999_z.jpg]

Or, in WolframAlpha notation,

Product((4k^2)/(4k^2 - 1),{k,1,n})*(2 + 4/(8n + 3 + ContinuedFractionK[4k^2 - 1,8n +4,{k,1,n}]))

QBASIC and HP-42S/Free42 programs available here and here.

Anyway, it was a good test for my MSX 8-bit computer from 1987 :-)

Next time, for speed, I'll try a more traditional Machin formula.

Ciao,

Gerson.