Package org.hipparchus.special.elliptic.jacobi

Class JacobiTheta

java.lang.Object

org.hipparchus.special.elliptic.jacobi.JacobiTheta

public class JacobiTheta
extends Object

Algorithm computing Jacobi theta functions.

Since:

2.0

Constructor Summary

Constructors

Constructor	Description
JacobiTheta(double q)	Simple constructor.

Method Summary

Modifier and Type	Method	Description
double	getQ()	Get the nome.
Theta	values(Complex z)	Evaluate the Jacobi theta functions.

Methods inherited from class java.lang.Object

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

Constructor Details

JacobiTheta

public JacobiTheta(double q)

Simple constructor.

The nome q can be computed using ratios of complete elliptic integrals (LegendreEllipticIntegral.nome(m) which are themselves defined in term of parameter m, where m=k² and k is the elliptic modulus.

Parameters:

q - nome

Method Details

getQ

public double getQ()

Get the nome.

Returns:

nome

values

public Theta values(Complex z)

Evaluate the Jacobi theta functions.

Parameters:

z - argument of the functions

Returns:

container for the four Jacobi theta functions θ₁(z|τ), θ₂(z|τ), θ₃(z|τ), and θ₄(z|τ)