JacobiElliptic (Hipparchus 2.3 API)

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.

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

Method Summary

All Methods Instance Methods Abstract Methods Concrete Methods
Modifier and Type	Method and Description
`double`	`arccd(double x)` Evaluate inverse of Jacobi elliptic function cd.
`double`	`arccn(double x)` Evaluate inverse of Jacobi elliptic function cn.
`double`	`arccs(double x)` Evaluate inverse of Jacobi elliptic function cs.
`double`	`arcdc(double x)` Evaluate inverse of Jacobi elliptic function dc.
`double`	`arcdn(double x)` Evaluate inverse of Jacobi elliptic function dn.
`double`	`arcds(double x)` Evaluate inverse of Jacobi elliptic function ds.
`double`	`arcnc(double x)` Evaluate inverse of Jacobi elliptic function nc.
`double`	`arcnd(double x)` Evaluate inverse of Jacobi elliptic function nd.
`double`	`arcns(double x)` Evaluate inverse of Jacobi elliptic function ns.
`double`	`arcsc(double x)` Evaluate inverse of Jacobi elliptic function sc.
`double`	`arcsd(double x)` Evaluate inverse of Jacobi elliptic function sd.
`double`	`arcsn(double x)` Evaluate inverse of Jacobi elliptic function sn.
`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).
  - arcsn
```
public double 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 double 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 double 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 double 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 double 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 double 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 double 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 double 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 double 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 double 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 double 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 double 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 JacobiElliptic

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

JacobiElliptic

Method Detail

getM

valuesN

valuesS

valuesC

valuesD

arcsn

arccn

arcdn

arccs

arcds

arcns

arcdc

arcnc

arcsc

arcnd

arcsd

arccd