| /* |
| * 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.geometry.core.partitioning; |
| |
| import org.apache.commons.geometry.core.Point; |
| |
| |
| /** This interface represents an inversible affine transform in a space. |
| * <p>Inversible affine transform include for example scalings, |
| * translations, rotations.</p> |
| |
| * <p>Transforms are dimension-specific. The consistency rules between |
| * the three {@code apply} methods are the following ones for a |
| * transformed defined for dimension D:</p> |
| * <ul> |
| * <li> |
| * the transform can be applied to a point in the |
| * D-dimension space using its {@link #apply(Point)} |
| * method |
| * </li> |
| * <li> |
| * the transform can be applied to a (D-1)-dimension |
| * hyperplane in the D-dimension space using its |
| * {@link #apply(Hyperplane)} method |
| * </li> |
| * <li> |
| * the transform can be applied to a (D-2)-dimension |
| * sub-hyperplane in a (D-1)-dimension hyperplane using |
| * its {@link #apply(SubHyperplane, Hyperplane, Hyperplane)} |
| * method |
| * </li> |
| * </ul> |
| |
| * @param <P> Point type defining the embedding space. |
| * @param <S> Point type defining the embedded sub-space. |
| */ |
| public interface Transform<P extends Point<P>, S extends Point<S>> { |
| |
| /** Transform a point of a space. |
| * @param point point to transform |
| * @return a new object representing the transformed point |
| */ |
| P apply(P point); |
| |
| /** Transform an hyperplane of a space. |
| * @param hyperplane hyperplane to transform |
| * @return a new object representing the transformed hyperplane |
| */ |
| Hyperplane<P> apply(Hyperplane<P> hyperplane); |
| |
| /** Transform a sub-hyperplane embedded in an hyperplane. |
| * @param sub sub-hyperplane to transform |
| * @param original hyperplane in which the sub-hyperplane is |
| * defined (this is the original hyperplane, the transform has |
| * <em>not</em> been applied to it) |
| * @param transformed hyperplane in which the sub-hyperplane is |
| * defined (this is the transformed hyperplane, the transform |
| * <em>has</em> been applied to it) |
| * @return a new object representing the transformed sub-hyperplane |
| */ |
| SubHyperplane<S> apply(SubHyperplane<S> sub, Hyperplane<P> original, Hyperplane<P> transformed); |
| |
| } |