/*************************************************************************
* Incomplete elliptic integral of the second kind
*
* Approximates the integral
*
*
* phi
* -
| |
| 2
| E(phi_\m) = | sqrt( 1 - m sin t ) dt
|
| |
| -
| 0
|
| of amplitude phi and modulus m, using the arithmetic -
| geometric mean algorithm.
|
| ACCURACY:
|
| Tested at random arguments with phi in [-10, 10] and m in
| [0, 1].
| Relative error:
| arithmetic domain # trials peak rms
| IEEE -10,10 150000 3.3e-15 1.4e-16
|
| Cephes Math Library Release 2.8: June, 2000
| Copyright 1984, 1987, 1993, 2000 by Stephen L. Moshier
*************************************************************************/
public static double IncompleteEllipticIntegralE(double phi, double m)
{
var result = Elliptic.IncompleteEllipticIntegralE(phi, m);
return(result);
}
