org.hipparchus.special.elliptic.jacobi

Class JacobiEllipticBuilder

java.lang.Object

org.hipparchus.special.elliptic.jacobi.JacobiEllipticBuilder

public class JacobiEllipticBuilder
extends Object

Builder for algorithms compmuting Jacobi elliptic functions.

The Jacobi elliptic functions are related to elliptic integrals.

There are different conventions to interpret the arguments of Jacobi elliptic functions. The first argument may be the amplitude φ, but is more often the variable u (with sn(u) = sin(φ) and cn(u) = cos(φ)). The second argument is either the modulus k or the parameter m with m = k². In Hipparchus, we adopted the convention to use u and m.

Since:

2.0

Method Summary

Modifier and Type	Method and Description
static FieldJacobiElliptic<Complex>	build(Complex m) Build an algorithm for computing Jacobi elliptic functions.
static JacobiElliptic	build(double m) Build an algorithm for computing Jacobi elliptic functions.
static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<FieldComplex<T>>	build(FieldComplex<T> m) Build an algorithm for computing Jacobi elliptic functions.
static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<T>	build(T m) Build an algorithm for computing Jacobi elliptic functions.

Methods inherited from class java.lang.Object

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

Method Detail

build

public static JacobiElliptic build(double m)

Build an algorithm for computing Jacobi elliptic functions.

Parameters:

m - parameter of the Jacobi elliptic function

Returns:

selected algorithm

build

public static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<T> build(T m)

Build an algorithm for computing Jacobi elliptic functions.

Type Parameters:

T - type of the field elements

Parameters:

m - parameter of the Jacobi elliptic function

Returns:

selected algorithm

build

public static FieldJacobiElliptic<Complex> build(Complex m)

Build an algorithm for computing Jacobi elliptic functions.

Parameters:

m - parameter of the Jacobi elliptic function

Returns:

selected algorithm

build

public static <T extends CalculusFieldElement<T>> FieldJacobiElliptic<FieldComplex<T>> build(FieldComplex<T> m)

Build an algorithm for computing Jacobi elliptic functions.

Type Parameters:

T - type of the field elements

Parameters:

m - parameter of the Jacobi elliptic function

Returns:

selected algorithm