FieldJacobiElliptic (Hipparchus 2.2 API)

java.lang.Object
- org.hipparchus.special.elliptic.jacobi.FieldJacobiElliptic<T>

Type Parameters:

T - the type of the field elements
```
public abstract class FieldJacobiElliptic<T extends CalculusFieldElement<T>>
extends Object
```
Computation of Jacobi elliptic functions. The Jacobi elliptic functions are related to elliptic integrals.

Since:

2.0

Constructor Summary

Constructors
Modifier Constructor and Description

protected FieldJacobiElliptic(T m)
Simple constructor.

Constructors
Modifier	Constructor and Description
`protected`	`FieldJacobiElliptic(T m)` Simple constructor.

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods
Modifier and Type	Method and Description
`T`	`arccd(double x)` Evaluate inverse of Jacobi elliptic function cd.
`T`	`arccd(T x)` Evaluate inverse of Jacobi elliptic function cd.
`T`	`arccn(double x)` Evaluate inverse of Jacobi elliptic function cn.
`T`	`arccn(T x)` Evaluate inverse of Jacobi elliptic function cn.
`T`	`arccs(double x)` Evaluate inverse of Jacobi elliptic function cs.
`T`	`arccs(T x)` Evaluate inverse of Jacobi elliptic function cs.
`T`	`arcdc(double x)` Evaluate inverse of Jacobi elliptic function dc.
`T`	`arcdc(T x)` Evaluate inverse of Jacobi elliptic function dc.
`T`	`arcdn(double x)` Evaluate inverse of Jacobi elliptic function dn.
`T`	`arcdn(T x)` Evaluate inverse of Jacobi elliptic function dn.
`T`	`arcds(double x)` Evaluate inverse of Jacobi elliptic function ds.
`T`	`arcds(T x)` Evaluate inverse of Jacobi elliptic function ds.
`T`	`arcnc(double x)` Evaluate inverse of Jacobi elliptic function nc.
`T`	`arcnc(T x)` Evaluate inverse of Jacobi elliptic function nc.
`T`	`arcnd(double x)` Evaluate inverse of Jacobi elliptic function nd.
`T`	`arcnd(T x)` Evaluate inverse of Jacobi elliptic function nd.
`T`	`arcns(double x)` Evaluate inverse of Jacobi elliptic function ns.
`T`	`arcns(T x)` Evaluate inverse of Jacobi elliptic function ns.
`T`	`arcsc(double x)` Evaluate inverse of Jacobi elliptic function sc.
`T`	`arcsc(T x)` Evaluate inverse of Jacobi elliptic function sc.
`T`	`arcsd(double x)` Evaluate inverse of Jacobi elliptic function sd.
`T`	`arcsd(T x)` Evaluate inverse of Jacobi elliptic function sd.
`T`	`arcsn(double x)` Evaluate inverse of Jacobi elliptic function sn.
`T`	`arcsn(T x)` Evaluate inverse of Jacobi elliptic function sn.
`T`	`getM()` Get the parameter of the function.
`FieldCopolarC<T>`	`valuesC(double u)` Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.
`FieldCopolarC<T>`	`valuesC(T u)` Evaluate the three subsidiary Jacobi elliptic functions with pole at point c in Glaisher’s Notation.
`FieldCopolarD<T>`	`valuesD(double u)` Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.
`FieldCopolarD<T>`	`valuesD(T u)` Evaluate the three subsidiary Jacobi elliptic functions with pole at point d in Glaisher’s Notation.
`FieldCopolarN<T>`	`valuesN(double u)` Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.
`abstract FieldCopolarN<T>`	`valuesN(T u)` Evaluate the three principal Jacobi elliptic functions with pole at point n in Glaisher’s Notation.
`FieldCopolarS<T>`	`valuesS(double u)` Evaluate the three subsidiary Jacobi elliptic functions with pole at point s in Glaisher’s Notation.
`FieldCopolarS<T>`	`valuesS(T 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
  - FieldJacobiElliptic
```
protected FieldJacobiElliptic(T m)
```
    Simple constructor.
    
    Parameters:
    
    m - parameter of the function
- Method Detail
  - getM
```
public T getM()
```
    Get the parameter of the function.
    
    Returns:
    
    parameter of the function
  - valuesN
```
public abstract FieldCopolarN<T> valuesN(T 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).
  - valuesN
```
public FieldCopolarN<T> 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 FieldCopolarS<T> valuesS(T 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).
  - valuesS
```
public FieldCopolarS<T> 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 FieldCopolarC<T> valuesC(T 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).
  - valuesC
```
public FieldCopolarC<T> 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 FieldCopolarD<T> valuesD(T 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).
  - valuesD
```
public FieldCopolarD<T> 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).
  - arcsn
```
public T arcsn(T x)
```
    Evaluate inverse of Jacobi elliptic function sn.
    
    Parameters:
    
    x - value of Jacobi elliptic function sn(u|m)
    
    Returns:
    
    u such that x=sn(u|m)
    
    Since:
    
    2.1
  - arcsn
```
public T arcsn(double x)
```
    Evaluate inverse of Jacobi elliptic function sn.
    
    Parameters:
    
    x - value of Jacobi elliptic function sn(u|m)
    
    Returns:
    
    u such that x=sn(u|m)
    
    Since:
    
    2.1
  - arccn
```
public T arccn(T x)
```
    Evaluate inverse of Jacobi elliptic function cn.
    
    Parameters:
    
    x - value of Jacobi elliptic function cn(u|m)
    
    Returns:
    
    u such that x=cn(u|m)
    
    Since:
    
    2.1
  - arccn
```
public T arccn(double x)
```
    Evaluate inverse of Jacobi elliptic function cn.
    
    Parameters:
    
    x - value of Jacobi elliptic function cn(u|m)
    
    Returns:
    
    u such that x=cn(u|m)
    
    Since:
    
    2.1
  - arcdn
```
public T arcdn(T x)
```
    Evaluate inverse of Jacobi elliptic function dn.
    
    Parameters:
    
    x - value of Jacobi elliptic function dn(u|m)
    
    Returns:
    
    u such that x=dn(u|m)
    
    Since:
    
    2.1
  - arcdn
```
public T arcdn(double x)
```
    Evaluate inverse of Jacobi elliptic function dn.
    
    Parameters:
    
    x - value of Jacobi elliptic function dn(u|m)
    
    Returns:
    
    u such that x=dn(u|m)
    
    Since:
    
    2.1
  - arccs
```
public T arccs(T x)
```
    Evaluate inverse of Jacobi elliptic function cs.
    
    Parameters:
    
    x - value of Jacobi elliptic function cs(u|m)
    
    Returns:
    
    u such that x=cs(u|m)
    
    Since:
    
    2.1
  - arccs
```
public T arccs(double x)
```
    Evaluate inverse of Jacobi elliptic function cs.
    
    Parameters:
    
    x - value of Jacobi elliptic function cs(u|m)
    
    Returns:
    
    u such that x=cs(u|m)
    
    Since:
    
    2.1
  - arcds
```
public T arcds(T x)
```
    Evaluate inverse of Jacobi elliptic function ds.
    
    Parameters:
    
    x - value of Jacobi elliptic function ds(u|m)
    
    Returns:
    
    u such that x=ds(u|m)
    
    Since:
    
    2.1
  - arcds
```
public T arcds(double x)
```
    Evaluate inverse of Jacobi elliptic function ds.
    
    Parameters:
    
    x - value of Jacobi elliptic function ds(u|m)
    
    Returns:
    
    u such that x=ds(u|m)
    
    Since:
    
    2.1
  - arcns
```
public T arcns(T x)
```
    Evaluate inverse of Jacobi elliptic function ns.
    
    Parameters:
    
    x - value of Jacobi elliptic function ns(u|m)
    
    Returns:
    
    u such that x=ns(u|m)
    
    Since:
    
    2.1
  - arcns
```
public T arcns(double x)
```
    Evaluate inverse of Jacobi elliptic function ns.
    
    Parameters:
    
    x - value of Jacobi elliptic function ns(u|m)
    
    Returns:
    
    u such that x=ns(u|m)
    
    Since:
    
    2.1
  - arcdc
```
public T arcdc(T x)
```
    Evaluate inverse of Jacobi elliptic function dc.
    
    Parameters:
    
    x - value of Jacobi elliptic function dc(u|m)
    
    Returns:
    
    u such that x=dc(u|m)
    
    Since:
    
    2.1
  - arcdc
```
public T arcdc(double x)
```
    Evaluate inverse of Jacobi elliptic function dc.
    
    Parameters:
    
    x - value of Jacobi elliptic function dc(u|m)
    
    Returns:
    
    u such that x=dc(u|m)
    
    Since:
    
    2.1
  - arcnc
```
public T arcnc(T x)
```
    Evaluate inverse of Jacobi elliptic function nc.
    
    Parameters:
    
    x - value of Jacobi elliptic function nc(u|m)
    
    Returns:
    
    u such that x=nc(u|m)
    
    Since:
    
    2.1
  - arcnc
```
public T arcnc(double x)
```
    Evaluate inverse of Jacobi elliptic function nc.
    
    Parameters:
    
    x - value of Jacobi elliptic function nc(u|m)
    
    Returns:
    
    u such that x=nc(u|m)
    
    Since:
    
    2.1
  - arcsc
```
public T arcsc(T x)
```
    Evaluate inverse of Jacobi elliptic function sc.
    
    Parameters:
    
    x - value of Jacobi elliptic function sc(u|m)
    
    Returns:
    
    u such that x=sc(u|m)
    
    Since:
    
    2.1
  - arcsc
```
public T arcsc(double x)
```
    Evaluate inverse of Jacobi elliptic function sc.
    
    Parameters:
    
    x - value of Jacobi elliptic function sc(u|m)
    
    Returns:
    
    u such that x=sc(u|m)
    
    Since:
    
    2.1
  - arcnd
```
public T arcnd(T x)
```
    Evaluate inverse of Jacobi elliptic function nd.
    
    Parameters:
    
    x - value of Jacobi elliptic function nd(u|m)
    
    Returns:
    
    u such that x=nd(u|m)
    
    Since:
    
    2.1
  - arcnd
```
public T arcnd(double x)
```
    Evaluate inverse of Jacobi elliptic function nd.
    
    Parameters:
    
    x - value of Jacobi elliptic function nd(u|m)
    
    Returns:
    
    u such that x=nd(u|m)
    
    Since:
    
    2.1
  - arcsd
```
public T arcsd(T x)
```
    Evaluate inverse of Jacobi elliptic function sd.
    
    Parameters:
    
    x - value of Jacobi elliptic function sd(u|m)
    
    Returns:
    
    u such that x=sd(u|m)
    
    Since:
    
    2.1
  - arcsd
```
public T arcsd(double x)
```
    Evaluate inverse of Jacobi elliptic function sd.
    
    Parameters:
    
    x - value of Jacobi elliptic function sd(u|m)
    
    Returns:
    
    u such that x=sd(u|m)
    
    Since:
    
    2.1
  - arccd
```
public T arccd(T x)
```
    Evaluate inverse of Jacobi elliptic function cd.
    
    Parameters:
    
    x - value of Jacobi elliptic function cd(u|m)
    
    Returns:
    
    u such that x=cd(u|m)
    
    Since:
    
    2.1
  - arccd
```
public T arccd(double x)
```
    Evaluate inverse of Jacobi elliptic function cd.
    
    Parameters:
    
    x - value of Jacobi elliptic function cd(u|m)
    
    Returns:
    
    u such that x=cd(u|m)
    
    Since:
    
    2.1

Class FieldJacobiElliptic<T extends CalculusFieldElement<T>>

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

FieldJacobiElliptic

Method Detail

getM

valuesN

valuesN

valuesS

valuesS

valuesC

valuesC

valuesD

valuesD

arcsn

arcsn

arccn

arccn

arcdn

arcdn

arccs

arccs

arcds

arcds

arcns

arcns

arcdc

arcdc

arcnc

arcnc

arcsc

arcsc

arcnd

arcnd

arcsd

arcsd

arccd

arccd