Loadable Function: z = gsl_sf_ellint_P (arg1, arg2, arg3, mode)

Loadable Function: [z, err] = gsl_sf_ellint_P (…)

This routine computes the incomplete elliptic integral \Pi(\phi,k,n) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameters m = k^2 and \sin^2(\alpha) = k^2, with the change of sign n \to -n.

err contains an estimate of the absolute error in the value z.

The argument mode must be an integer corresponding to

0 = GSL_PREC_DOUBLE

Double-precision, a relative accuracy of approximately 2e-16.

1 = GSL_PREC_SINGLE

Single-precision, a relative accuracy of approximately 1e-7.

2 = GSL_PREC_APPROX

Approximate values, a relative accuracy of approximately 5e-4.

This function is from the GNU Scientific Library, see http://www.gnu.org/software/gsl/ for documentation.

Package: gsl