org.hipparchus.special.elliptic.jacobi

Class JacobiElliptic

java.lang.Object

org.hipparchus.special.elliptic.jacobi.JacobiElliptic

public abstract class JacobiElliptic
extends Object

Algorithm computing Jacobi elliptic functions.

Since:

2.0

Constructor Summary

Constructors

Modifier	Constructor and Description
protected	JacobiElliptic(double m) Simple constructor.

Method Summary

Modifier and Type	Method and Description
double	getM() Get the parameter of the function.
CopolarC	valuesC(double u) Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.
CopolarD	valuesD(double u) Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.
abstract CopolarN	valuesN(double u) Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.
CopolarS	valuesS(double u) Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.

Methods inherited from class java.lang.Object

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

Constructor Detail

JacobiElliptic

protected JacobiElliptic(double m)

Simple constructor.

Parameters:

m - parameter of the function

Method Detail

getM

public double getM()

Get the parameter of the function.

Returns:

parameter of the function

valuesN

public abstract CopolarN valuesN(double u)

Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.

Parameters:

u - argument of the functions

Returns:

copolar trio containing the three principal Jacobi elliptic functions sn(u|m), cn(u|m), and dn(u|m).

valuesS

public CopolarS valuesS(double u)

Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.

Parameters:

u - argument of the functions

Returns:

copolar trio containing the three subsidiary Jacobi elliptic functions cs(u|m), ds(u|m) and ns(u|m).

valuesC

public CopolarC valuesC(double u)

Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.

Parameters:

u - argument of the functions

Returns:

copolar trio containing the three subsidiary Jacobi elliptic functions dc(u|m), nc(u|m), and sc(u|m).

valuesD

public CopolarD valuesD(double u)

Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.

Parameters:

u - argument of the functions

Returns:

copolar trio containing the three subsidiary Jacobi elliptic functions nd(u|m), sd(u|m), and cd(u|m).