Package org.hipparchus.special.elliptic.jacobi

Class FieldJacobiTheta<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.special.elliptic.jacobi.FieldJacobiTheta<T>

Type Parameters:

T - the type of the field elements

public class FieldJacobiTheta<T extends CalculusFieldElement<T>>
extends Object

Algorithm computing Jacobi theta functions.

Since:

2.0

Constructor Summary

Constructors

Constructor	Description
FieldJacobiTheta(T q)	Simple constructor.

Method Summary

Modifier and Type	Method	Description
T	getQ()	Get the nome.
FieldTheta<T>	values(T 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

FieldJacobiTheta

public FieldJacobiTheta(T 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 T getQ()

Get the nome.

Returns:

nome

values

public FieldTheta<T> values(T 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)