Elliptic Integrals and Jacobi's Zeta Function.

Elliptic function evaluation using AGM algorithm.

Elliptici uses the method of the arithmetic - geometric mean described determine the value of the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function. The formulas implemented are F(u,m) = int(1/sqrt(1-m*sin(t)^2),
t=0..u); E(u,m) = int(sqrt(1-m*sin(t)^2), t=0..u); Z(u,m) = E(u,m) - E(m)/K(m)*F(u,m)

The routine Elliptici works with multidimentional arrays and any range of u.

Project home: http://code.google.com/p/elliptic/