core.math
Class SpecialFunctions

java.lang.Object
  core.math.SpecialFunctions

public class SpecialFunctions

extends java.lang.Object

Constructor Summary

SpecialFunctions()

Method Summary

static double

ellipticIntegral(double kcc, double pp, double aa, double bb, double accuracy) Elliptic integrals: This algorithm for the calculation of the complete elliptic integral (CEI) is presented in papers by Ronald Bulirsch, Numerical Calculation of Elliptic Integrals and Elliptic Functions, Numerische Mathematik 7, 78-90 (1965) and Ronald Bulirsch: Numerical Calculation of Elliptic Integrals and Elliptic Functions III, Numerische Mathematik 13,305-315 (1969).

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

SpecialFunctions

public SpecialFunctions()

Method Detail

ellipticIntegral

public static double ellipticIntegral(double kcc,
                                      double pp,
                                      double aa,
                                      double bb,
                                      double accuracy)

Elliptic integrals: This algorithm for the calculation of the complete elliptic integral (CEI) is presented in papers by Ronald Bulirsch, Numerical Calculation of Elliptic Integrals and Elliptic Functions, Numerische Mathematik 7, 78-90 (1965) and Ronald Bulirsch: Numerical Calculation of Elliptic Integrals and Elliptic Functions III, Numerische Mathematik 13,305-315 (1969). The definition of the complete elliptic integral is given in equation (1.1.1.1) of the TEAL_Physics_Math document .

Parameters:

kcc - see Section 1.1.1 of the TEAL_Physics_Math documentation for the definition of this parameter

pp - see Section 1.1.1 of the TEAL_Physics_Math documentation for the definition of this parameter

aa - see Section 1.1.1 of the TEAL_Physics_Math documentation for the definition of this parameter

bb - see Section 1.1.1 of the TEAL_Physics_Math documentation for the definition of this parameter

accuracy - the desired accuracy

Returns:

the value of the complete elliptic integral for these parameter values