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Java example source code file (Hyperplane.java)

This example Java source code file (Hyperplane.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

hyperplane, point, region, space, subhyperplane

The Hyperplane.java Java example source code

/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */
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.

 * <p>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.</p>

 * <p>
 * Note that this interface is <em>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.
 * </p>

 * @param <S> Type of the space.

 * @since 3.0
 */
public interface Hyperplane<S extends Space> {

    /** Copy the instance.
     * <p>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).</p>
     * @return a new hyperplane, copy of the instance
     */
    Hyperplane<S> copySelf();

    /** Get the offset (oriented distance) of a point.
     * <p>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.</p>
     * @param point point to check
     * @return offset of the point
     */
    double getOffset(Point<S> point);

    /** Project a point to the hyperplane.
     * @param point point to project
     * @return projected point
     * @since 3.3
     */
    Point<S> 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.
     * <p>This method is expected to be called on parallel hyperplanes. The
     * method should <em>not re-check for parallelism, only for
     * orientation, typically by testing something like the sign of the
     * dot-products of normals.</p>
     * @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<S> other);

    /** Build a sub-hyperplane covering the whole hyperplane.
     * @return a sub-hyperplane covering the whole hyperplane
     */
    SubHyperplane<S> wholeHyperplane();

    /** Build a region covering the whole space.
     * @return a region containing the instance
     */
    Region<S> wholeSpace();

}

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