static void Main(string[] args)
{
try {
EllipticFunction ell = new EllipticFunction(0.1, 1.0); // parameter m = 0.1
// See Abramowitz and Stegun, table 17.1
Console.WriteLine(String.Format("{0} {1}", ell.K(), ell.E()));
double phi = 20 * Math.Acos(-1.0) / 180.0;;
// See Abramowitz and Stegun, table 17.6 with
// alpha = asin(sqrt(m)) = 18.43 deg and phi = 20 deg
Console.WriteLine(String.Format("{0} {1}", ell.E(phi),
ell.E(Math.Sin(phi), Math.Cos(phi),
Math.Sqrt(1 - ell.k2 * Math.Sin(phi) * Math.Sin(phi)))));
// See Carlson 1995, Sec 3.
Console.WriteLine(String.Format("RF(1,2,0) = {0}", EllipticFunction.RF(1, 2)));
Console.WriteLine(String.Format("RF(2,3,4) = {0}", EllipticFunction.RF(2, 3, 4)));
Console.WriteLine(String.Format("RC(0,1/4) = {0}", EllipticFunction.RC(0, 0.25)));
Console.WriteLine(String.Format("RC(9/4,2) = {0}", EllipticFunction.RC(2.25, 2)));
Console.WriteLine(String.Format("RC(1/4,-2) = {0}", EllipticFunction.RC(0.25, -2)));
Console.WriteLine(String.Format("RJ(0,1,2,3) = {0}", EllipticFunction.RJ(0, 1, 2, 3)));
Console.WriteLine(String.Format("RJ(2,3,4,5) = {0}", EllipticFunction.RJ(2, 3, 4, 5)));
Console.WriteLine(String.Format("RD(0,2,1) = {0}", EllipticFunction.RD(0, 2, 1)));
Console.WriteLine(String.Format("RD(2,3,4) = {0}", EllipticFunction.RD(2, 3, 4)));
Console.WriteLine(String.Format("RG(0,16,16) = {0}", EllipticFunction.RG(16, 16)));
Console.WriteLine(String.Format("RG(2,3,4) = {0}", EllipticFunction.RG(2, 3, 4)));
Console.WriteLine(String.Format("RG(0,0.0796,4) = {0}", EllipticFunction.RG(0.0796, 4)));
}
catch (GeographicErr e) {
Console.WriteLine(String.Format("Caught exception: {0}", e.Message));
}
}
