Sphere1D

java.lang.Object
- org.apache.commons.math3.geometry.spherical.oned.Sphere1D

All Implemented Interfaces:

java.io.Serializable, Space
```
public class Sphere1D
extends java.lang.Object
implements java.io.Serializable, Space
```
This class implements a one-dimensional sphere (i.e. a circle).
We use here the topologists definition of the 1-sphere (see Sphere on MathWorld), i.e. the 1-sphere is the one-dimensional closed curve defined in 2D as x²+y²=1.

Since:

3.3

See Also:

Serialized Form

Nested Class Summary

Nested Classes
Modifier and Type	Class	Description
`private static class`	`Sphere1D.LazyHolder`	Holder for the instance.
`static class`	`Sphere1D.NoSubSpaceException`	Specialized exception for inexistent sub-space.

Field Summary

Fields
Modifier and Type Field Description

private static long serialVersionUID
Serializable version identifier.

Constructor Summary

Constructors
Modifier Constructor Description

private Sphere1D()
Private constructor for the singleton.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`int`	`getDimension()`	Get the dimension of the space.
`static Sphere1D`	`getInstance()`	Get the unique instance.
`Space`	`getSubSpace()`	Get the n-1 dimension subspace of this space.
`private java.lang.Object`	`readResolve()`	Handle deserialization of the singleton.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - serialVersionUID
```
private static final long serialVersionUID
```
    Serializable version identifier.
    
    See Also:
    
    Constant Field Values
- Constructor Detail
  - Sphere1D
```
private Sphere1D()
```
    Private constructor for the singleton.
- Method Detail
  - getInstance
```
public static Sphere1D getInstance()
```
    Get the unique instance.
    
    Returns:
    
    the unique instance
  - getDimension
```
public int getDimension()
```
    Get the dimension of the space.
    
    Specified by:
    
    getDimension in interface Space
    
    Returns:
    
    dimension of the space
  - getSubSpace
```
public Space getSubSpace()
                  throws Sphere1D.NoSubSpaceException
```
    Get the n-1 dimension subspace of this space.
    As the 1-dimension sphere does not have proper sub-spaces, this method always throws a Sphere1D.NoSubSpaceException
    
    Specified by:
    
    getSubSpace in interface Space
    
    Returns:
    
    nothing
    
    Throws:
    
    Sphere1D.NoSubSpaceException - in all cases
    
    See Also:
    
    Space.getDimension()
  - readResolve
```
private java.lang.Object readResolve()
```
    Handle deserialization of the singleton.
    
    Returns:
    
    the singleton instance