| /* |
| * 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.euclidean; |
| |
| /** |
| * Abstract base class for Euclidean vectors with two or more dimensions. |
| * |
| * @param <V> Vector implementation type |
| */ |
| public abstract class MultiDimensionalEuclideanVector<V extends MultiDimensionalEuclideanVector<V>> |
| extends EuclideanVector<V> { |
| /** Get the projection of the instance onto the given base vector. The returned |
| * vector is parallel to {@code base}. Vector projection and rejection onto |
| * a given base are related by the equation |
| * <code> |
| * <strong>v</strong> = <strong>v<sub>projection</sub></strong> + <strong>v<sub>rejection</sub></strong> |
| * </code> |
| * @param base base vector |
| * @return the vector projection of the instance onto {@code base} |
| * @exception org.apache.commons.geometry.core.exception.IllegalNormException if the norm of the base vector is |
| * zero, NaN, or infinite |
| * @see #reject(MultiDimensionalEuclideanVector) |
| */ |
| public abstract V project(V base); |
| |
| /** Get the rejection of the instance from the given base vector. The returned |
| * vector is orthogonal to {@code base}. This operation can be interpreted as |
| * returning the orthogonal projection of the instance onto the hyperplane |
| * orthogonal to {@code base}. Vector projection and rejection onto |
| * a given base are related by the equation |
| * <code> |
| * <strong>v</strong> = <strong>v<sub>projection</sub></strong> + <strong>v<sub>rejection</sub></strong> |
| * </code> |
| * @param base base vector |
| * @return the vector rejection of the instance from {@code base} |
| * @exception org.apache.commons.geometry.core.exception.IllegalNormException if the norm of the base vector is |
| * zero, NaN, or infinite |
| * @see #project(MultiDimensionalEuclideanVector) |
| */ |
| public abstract V reject(V base); |
| |
| /** Get a unit vector orthogonal to the instance. |
| * @return a unit vector orthogonal to the current instance |
| * @throws org.apache.commons.geometry.core.exception.IllegalNormException if the norm of the current instance |
| * is zero, NaN, or infinite |
| */ |
| public abstract V orthogonal(); |
| |
| /** Get a unit vector orthogonal to the current vector and pointing in the direction |
| * of {@code dir}. This method is equivalent to calling {@code dir.reject(vec).normalize()} |
| * except that no intermediate vector object is produced. |
| * @param dir the direction to use for generating the orthogonal vector |
| * @return unit vector orthogonal to the current vector and pointing in the direction of |
| * {@code dir} that does not lie along the current vector |
| * @throws org.apache.commons.geometry.core.exception.IllegalNormException if either vector norm is |
| * zero, NaN or infinite, or the given vector is collinear with this vector. |
| */ |
| public abstract V orthogonal(V dir); |
| } |