Re: Elliptic Integrals?

[Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>]

On Tue, Jun 12, 2018 at 09:02:47PM +0200, Bill Allombert wrote:
> On Tue, Jun 12, 2018 at 09:00:52PM +0200, Eduardo Morras wrote:
> > 
> > Hello, I'm trying to implement an algorithm that uses Elliptic Integrals. 
> 
> Hello Eduardo,
> 
> Which kind of elliptic integrals do you need ?
> You might be able to use ellperiods.
> 
> I have this GP script which computes E and K.
> (numE/numK are the slow version, agmE/agmK are the fast ones).
> (Unfortunately I forgot where I found the formulae, which avoid
> the derivation).

I found the reference for the formulae:

An Eloquent Formula for the Perimeter of an Ellipse
Semjon Adlaj
Notices of the AMS 2012
<http://www.ams.org/notices/201208/rtx120801094p.pdf>

Cheers,
Bill