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Imports NETGeographicLib
Module example_EllipticFunction
Sub Main()
Try
Dim ell As EllipticFunction = New EllipticFunction(0.1, 1.0)
' See Abramowitz and Stegun, table 17.1
Console.WriteLine(String.Format("{0} {1}", ell.K(), ell.E()))
Dim phi As Double = 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 ex As GeographicErr
Console.WriteLine(String.Format("Caught exception: {0}", ex.Message))
End Try
End Sub
End Module
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