Archives

- Beowulf
- Beowulf Announce
- Scyld-users
- Beowulf on Debian

# Math help: Calculate pi using Gregory's Series on Beowulf?

Many of your questions may have already been answered in earlier discussions or in the FAQ. The search results page will indicate current discussions as well as past list serves, articles, and papers.

Search

Chris Richard Adams chrisa at ASPATECH.COM.BR
Fri Aug 3 09:19:29 PDT 2001

```Calulating Pi.

I found a link to compute pi using Gregory's Series. It states the form
allowing quickest convergence
is..

pi = 2*sqrt(3)*[ 1 - (1/(3*3)) + (1/(5*3^2)) - (1/(7*3^3)) ... ]

In the example for computing pi that comes with MPICH/MPI-Beowulf, I see
something like...

Sum = Sum + 4 * [ 1 / ( 1 + ( 1/n * ( i - 0.5 ) )^2 ) ]

where we iterate n times and i increments from 1 to n.

- then, pi = 1/n * sum

ANyone see how to get from Gregory's series to this form, or does this
form evolve from a different
approach?  I'll keep trying... any feedback is appreciated.

Chris

```