Package org.hipparchus.geometry.partitioning

Interface Hyperplane<S extends Space,P extends Point<S,P>,H extends Hyperplane<S,P,H,I>,I extends SubHyperplane<S,P,H,I>>

Type Parameters:

S - Type of the space.

P - Type of the points in space.

H - Type of the hyperplane.

I - Type of the sub-hyperplane.

All Known Implementing Classes:

Circle, LimitAngle, Line, OrientedPoint, Plane

public interface Hyperplane<S extends Space,P extends Point<S,P>,H extends Hyperplane<S,P,H,I>,I extends SubHyperplane<S,P,H,I>>

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 Hipparchus 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.

Method Summary

Modifier and Type	Method	Description
P	arbitraryPoint()	Get an arbitrary point in the hyperplane.
H	copySelf()	Copy the instance.
I	emptyHyperplane()	Build a sub-hyperplane covering nothing.
double	getOffset(P point)	Get the offset (oriented distance) of a point.
double	getTolerance()	Get the tolerance below which points are considered to belong to the hyperplane.
P	moveToOffset(P point, double offset)	Move point up to specified offset.
P	project(P point)	Project a point to the hyperplane.
boolean	sameOrientationAs(H other)	Check if the instance has the same orientation as another hyperplane.
I	wholeHyperplane()	Build a sub-hyperplane covering the whole hyperplane.
Region<S,P,H,I>	wholeSpace()	Build a region covering the whole space.

Method Details

copySelf

H copySelf()

Copy the instance.

The instance created is completely independent 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(P 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

moveToOffset

P moveToOffset(P point,
 double offset)

Move point up to specified offset.

Motion is orthogonal to the hyperplane

Parameters:

point - point to move

offset - desired offset

Returns:

moved point at desired offset

Since:

4.0

arbitraryPoint

P arbitraryPoint()

Get an arbitrary point in the hyperplane.

Returns:

arbirary point in the hyperplane

Since:

4.0

project

P project(P point)

Project a point to the hyperplane.

Parameters:

point - point to project

Returns:

projected point

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

sameOrientationAs

boolean sameOrientationAs(H 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

I wholeHyperplane()

Build a sub-hyperplane covering the whole hyperplane.

Returns:

a sub-hyperplane covering the whole hyperplane

emptyHyperplane

I emptyHyperplane()

Build a sub-hyperplane covering nothing.

Returns:

a sub-hyperplane covering nothing

Since:

1.4

wholeSpace

Region<S,P,H,I> wholeSpace()

Build a region covering the whole space.

Returns:

a region containing the instance