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The Apache Commons Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.

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package org.apache.commons.math3.geometry.partitioning;

import org.apache.commons.math3.geometry.Point;
import org.apache.commons.math3.geometry.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 {@link * BSPTree BSP tree} has a cut {@link SubHyperplane 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. *

* @param Type of the space. * @since 3.0 */ public interface Hyperplane { /** 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).

* @return a new hyperplane, copy of the instance */ Hyperplane copySelf(); /** 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.

* @param point point to check * @return offset of the point */ double getOffset(Point point); /** Project a point to the hyperplane. * @param point point to project * @return projected point * @since 3.3 */ Point project(Point point); /** Get the tolerance below which points are considered to belong to the hyperplane. * @return tolerance below which points are considered to belong to the hyperplane * @since 3.3 */ double getTolerance(); /** 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.

* @param other other hyperplane to check against the instance * @return true if the instance and the other hyperplane have * the same orientation */ boolean sameOrientationAs(Hyperplane other); /** Build a sub-hyperplane covering the whole hyperplane. * @return a sub-hyperplane covering the whole hyperplane */ SubHyperplane wholeHyperplane(); /** Build a region covering the whole space. * @return a region containing the instance */ Region wholeSpace(); }