Hyperplane

Type Parameters:

S - Type of the space.

All Known Implementing Classes:

Circle, LimitAngle, Line, OrientedPoint, Plane
```
public interface Hyperplane<S extends Space>
```
This interface represents an hyperplane of a space.
The most prominent place where hyperplane appears in space partitioning is as cutters. Each partitioning node in a BSP tree has a cut sub-hyperplane which is either an hyperplane or a part of an hyperplane. In an n-dimensions euclidean space, an hyperplane is an (n-1)-dimensions hyperplane (for example a traditional plane in the 3D euclidean space). They can be more exotic objects in specific fields, for example a circle on the surface of the unit sphere.

Note that this interface is not intended to be implemented by Apache Commons Math users, it is only intended to be implemented within the library itself. New methods may be added even for minor versions, which breaks compatibility for external implementations.

Since:

3.0

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method and Description
`Hyperplane<S>`	`copySelf()` Copy the instance.
`double`	`getOffset(Point<S> point)` Get the offset (oriented distance) of a point.
`double`	`getTolerance()` Get the tolerance below which points are considered to belong to the hyperplane.
`Point<S>`	`project(Point<S> point)` Project a point to the hyperplane.
`boolean`	`sameOrientationAs(Hyperplane<S> other)` Check if the instance has the same orientation as another hyperplane.
`SubHyperplane<S>`	`wholeHyperplane()` Build a sub-hyperplane covering the whole hyperplane.
`Region<S>`	`wholeSpace()` Build a region covering the whole space.

- Method Detail
  - copySelf
```
Hyperplane<S> copySelf()
```
    Copy the instance.
    The instance created is completely independant of the original one. A deep copy is used, none of the underlying objects are shared (except for immutable objects).
    
    Returns:
    
    a new hyperplane, copy of the instance
  - getOffset
```
double getOffset(Point<S> point)
```
    Get the offset (oriented distance) of a point.
    The offset is 0 if the point is on the underlying hyperplane, it is positive if the point is on one particular side of the hyperplane, and it is negative if the point is on the other side, according to the hyperplane natural orientation.
    
    Parameters:
    
    point - point to check
    
    Returns:
    
    offset of the point
  - project
```
Point<S> project(Point<S> point)
```
    Project a point to the hyperplane.
    
    Parameters:
    
    point - point to project
    
    Returns:
    
    projected point
    
    Since:
    
    3.3
  - getTolerance
```
double getTolerance()
```
    Get the tolerance below which points are considered to belong to the hyperplane.
    
    Returns:
    
    tolerance below which points are considered to belong to the hyperplane
    
    Since:
    
    3.3
  - sameOrientationAs
```
boolean sameOrientationAs(Hyperplane<S> other)
```
    Check if the instance has the same orientation as another hyperplane.
    This method is expected to be called on parallel hyperplanes. The method should not re-check for parallelism, only for orientation, typically by testing something like the sign of the dot-products of normals.
    
    Parameters:
    
    other - other hyperplane to check against the instance
    
    Returns:
    
    true if the instance and the other hyperplane have the same orientation
  - wholeHyperplane
```
SubHyperplane<S> wholeHyperplane()
```
    Build a sub-hyperplane covering the whole hyperplane.
    
    Returns:
    
    a sub-hyperplane covering the whole hyperplane
  - wholeSpace
```
Region<S> wholeSpace()
```
    Build a region covering the whole space.
    
    Returns:
    
    a region containing the instance

Interface Hyperplane<S extends Space>

Method Summary

Method Detail

copySelf

getOffset

project

getTolerance

sameOrientationAs

wholeHyperplane

wholeSpace