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using System;
using NETGeographicLib;
namespace example_EllipticFunction
{
class Program
{
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 ) );
}
}
}
}
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