Loadable Function: z = gsl_sf_ellint_F (arg1, arg2, mode)

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

This routine computes the elliptic integral F(\phi,k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.

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