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Weierstrass's elliptic functions implementation #4

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GoogleCodeExporter opened this issue Mar 14, 2015 · 1 comment

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GoogleCodeExporter commented Mar 14, 2015

Weierstrass's elliptic functions implementation request in terms of elliptic 
integrals and jacobi's elliptic functions

http://en.wikipedia.org/wiki/Weierstrass's_elliptic_functions
http://www.mai.liu.se/~halun/complex/elliptic/
http://mathworld.wolfram.com/WeierstrassEllipticFunction.html

Original issue reported on code.google.com by [email protected] on 10 Jan 2010 at 4:51

The text was updated successfully, but these errors were encountered:

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moiseevigor removed the auto-migrated label

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moiseevigor commented Jun 30, 2016

As proposed on gitter https://gitter.im/moiseevigor/elliptic?at=5773e91e971717155488a036 it seems that it can be done with this function

function P = WeiP(z,e1,e2,e3)
  m = (e2 - e3)/(e1 - e3);
  w = z*sqrt(e1 - e3);
  sn = ellipj(w,m);
  P = e3 + (e1 - e3)/(sn^2);
end

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