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Java example source code file (Transform.java)

This example Java source code file (Transform.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.

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Java - Java tags/keywords

hyperplane, point, space, subhyperplane, transform

The Transform.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,
 * 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 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 <S> Type of the embedding space.
 * @param <T> Type of the embedded sub-space.

 * @since 3.0
public interface Transform<S extends Space, T extends Space> {

    /** Transform a point of a space.
     * @param point point to transform
     * @return a new object representing the transformed point
    Point<S> apply(Point point);

    /** Transform an hyperplane of a space.
     * @param hyperplane hyperplane to transform
     * @return a new object representing the transformed hyperplane
    Hyperplane<S> apply(Hyperplane 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 been applied to it)
     * @param transformed hyperplane in which the sub-hyperplane is
     * defined (this is the transformed hyperplane, the transform
     * <em>has been applied to it)
     * @return a new object representing the transformed sub-hyperplane
    SubHyperplane<T> apply(SubHyperplane sub, Hyperplane original, Hyperplane transformed);


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