Comments on: Algorithm used for world record pi calculations

By: Finding 2013 in pi — The Endeavour

Finding 2013 in pi — The Endeavour — Tue, 01 Jan 2013 18:34:03 +0000

[...] some purposes, the digits of pi are random. The digits are obviously not random — there are algorithms for calculating them — and yet they behave randomly, and random is as random [...]

By: A Ramanujan series for calculating pi — The Endeavour

A Ramanujan series for calculating pi — The Endeavour — Wed, 26 Sep 2012 13:41:59 +0000

[...] is not the most efficient series for computing π. My next post will give a more efficient method, also based on work of Ramanujan. But the series above is [...]

By: Calculating pi with AGM and mpmath — The Endeavour

Calculating pi with AGM and mpmath — The Endeavour — Sun, 03 Jun 2012 18:57:53 +0000

[...] Algorithm for world record pi calculations Ramanujan series for pi [...]

By: Shamus

Shamus — Wed, 14 Mar 2012 15:03:38 +0000

I’m curious about the choice of initial conditions.

a0 corresponds to an initial estimate of pi of 2.914… which is correct in 0 decimal places. I realize that the choice of y0 is linked to the choice of a0, but the details of how you might choose a better starting point. I guess, since a single iteration gets you to 9 correct digits, it doesn’t matter too much in practice.

By: Andres Caicedo

Andres Caicedo — Wed, 14 Mar 2012 14:12:16 +0000

It is way more than 6.4 (American) billion digits. We are now on 10 trillions. http://www.numberworld.org/misc_runs/pi-5t/details.html

By: The Shape of Code » Compiler benchmarking for the 21st century

The Shape of Code » Compiler benchmarking for the 21st century — Tue, 26 Jul 2011 11:58:43 +0000

[...] e.g., a compiler might spot programs that calculate pi and always generate code that uses the most rapidly converging method known. This is a very different approach to the traditional methods based on using (mostly) execution [...]

By: Reader

Reader — Mon, 21 Mar 2011 04:26:48 +0000

Amazing!

By: Scott

Scott — Fri, 18 Mar 2011 13:12:15 +0000

Fantastic post for pi day (3/14)!

By: A Pi Generator | Ions of Imagination

A Pi Generator | Ions of Imagination — Tue, 15 Mar 2011 17:37:54 +0000

[...] Algorithm used for World Record Pi Calculations [...]

By: Chris Vest

Chris Vest — Mon, 14 Mar 2011 16:23:19 +0000

If I’m not mistaken, the number must be verified by at least two algorithms (in addition to being longer than any other) before it can be accepted as a world record.

By: Speedmaster

Speedmaster — Mon, 14 Mar 2011 15:01:27 +0000

My head just imploded.