/* * 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 defines mappers between a space and one of its sub-spaces. *
Sub-spaces are the lower dimensions subsets of a n-dimensions * space. The (n-1)-dimension sub-spaces are specific sub-spaces known * as {@link Hyperplane hyperplanes}. This interface can be used regardless * of the dimensions differences. As an example, {@link * org.apache.commons.math3.geometry.euclidean.threed.Line Line} in 3D * implements Embedding<{@link * org.apache.commons.math3.geometry.euclidean.threed.Vector3D Vector3D}, {link * org.apache.commons.math3.geometry.euclidean.oned.Vector1D Vector1D>, i.e. it * maps directly dimensions 3 and 1.
*In the 3D euclidean space, hyperplanes are 2D planes, and the 1D * sub-spaces are lines.
** 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