ISpace

All Known Implementing Classes:

Space, Space1D, Space2D, Space3D
```
public interface ISpace
```

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method and Description
`int`	`D()` The dimension of this space.
`double[]`	`makeArrayD(double d)` Returns an array of dimension D, with each element equal to the given value.
`int[]`	`makeArrayD(int i)` Returns an array of dimension D, with each element equal to the given value.
`IOrientation`	`makeOrientation()` Constructs and returns a new Orientation appropriate to the space.
`RotationTensor`	`makeRotationTensor()` Constructs and returns a new RotationTensor appropriate to the space.
`Tensor`	`makeTensor()` Constructs and returns a new Tensor appropriate to the space.
`IVectorMutable`	`makeVector()` Constructs and returns a new Vector appropriate to the space.
`IVectorMutable`	`makeVector(double[] a)`
`IVectorMutable`	`makeVector(int[] k)`
`IVectorMutable[]`	`makeVectorArray(int n)` Instance methods that makes and returns an array of vectors having the given number of elements.
`double`	`powerD(double a)` Returns the given value raised to the Dth power, where D is the dimension of the space.
`int`	`powerD(int a)` Returns the given value raised to the Dth power, where D is the dimension of the space.
`double`	`rootD(double a)` Returns the given value raised to the power 1/D, where D is the dimension of the space.
`double`	`sphereArea(double r)` Returns the surface "area" of the "sphere" defined in the D-dimensional space.
`double`	`sphereVolume(double r)` Returns the "volume" of the "sphere" defined in the D-dimensional space.

- Method Detail
  - D
```
int D()
```
    The dimension of this space.
  - rootD
```
double rootD(double a)
```
    Returns the given value raised to the power 1/D, where D is the dimension of the space.
  - powerD
```
int powerD(int a)
```
    Returns the given value raised to the Dth power, where D is the dimension of the space.
  - powerD
```
double powerD(double a)
```
    Returns the given value raised to the Dth power, where D is the dimension of the space.
  - makeVector
```
IVectorMutable makeVector()
```
    Constructs and returns a new Vector appropriate to the space.
  - makeVector
```
IVectorMutable makeVector(double[] a)
```
  - makeVector
```
IVectorMutable makeVector(int[] k)
```
  - makeOrientation
```
IOrientation makeOrientation()
```
    Constructs and returns a new Orientation appropriate to the space.
  - makeTensor
```
Tensor makeTensor()
```
    Constructs and returns a new Tensor appropriate to the space.
  - makeRotationTensor
```
RotationTensor makeRotationTensor()
```
    Constructs and returns a new RotationTensor appropriate to the space.
  - makeArrayD
```
int[] makeArrayD(int i)
```
    Returns an array of dimension D, with each element equal to the given value.
  - makeArrayD
```
double[] makeArrayD(double d)
```
    Returns an array of dimension D, with each element equal to the given value.
  - sphereVolume
```
double sphereVolume(double r)
```
    Returns the "volume" of the "sphere" defined in the D-dimensional space. In 1-D, this is twice the radius; in 2-D the area of the circle; in 3-D the volume of the sphere.
    
    Parameters:
    
    r - the radius
    
    Returns:
    
    the volume
  - sphereArea
```
double sphereArea(double r)
```
    Returns the surface "area" of the "sphere" defined in the D-dimensional space. In 1-D this is zero; in 2-D the circumference of the circle; in 3-D the surface area of the sphere.
    
    Parameters:
    
    r - the radius
    
    Returns:
    
    the area
  - makeVectorArray
```
IVectorMutable[] makeVectorArray(int n)
```
    Instance methods that makes and returns an array of vectors having the given number of elements.
    
    Parameters:
    
    n - number of vectors in the returned array
    
    Returns:
    
    an array of n new vectors made by the space instance

Interface ISpace

Method Summary

Method Detail

D

rootD

powerD

powerD

makeVector

makeVector

makeVector

makeOrientation

makeTensor

makeRotationTensor

makeArrayD

makeArrayD

sphereVolume

sphereArea

makeVectorArray