Geometry.java
/*
* Licensed to the Hipparchus project under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The Hipparchus project 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
*
* https://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.hipparchus.geometry;
import org.hipparchus.exception.LocalizedCoreFormats;
import org.hipparchus.exception.MathIllegalArgumentException;
import java.util.List;
/** Utilities for geometry.
* @since 4.0
*/
public class Geometry {
/**
* Private constructor for a utility class.
*/
private Geometry() {
// nothing to do
}
/**
* Compute the barycenter of n points.
* @param <S> Type of the space.
* @param <P> Type of the points in space.
* @param points points generating the barycenter
* @return barycenter of the points
*/
public static <S extends Space, P extends Point<S, P>> P barycenter(final List<P> points) {
// safety check
if (points.isEmpty()) {
throw new MathIllegalArgumentException(LocalizedCoreFormats.NUMBER_OF_ELEMENTS_SHOULD_BE_POSITIVE, 0);
}
// compute barycenter by moving from point to point
P current = points.get(0);
for (int i = 1; i < points.size(); i++) {
current = points.get(i).moveTowards(current, ((double) i) / (i + 1));
}
return current;
}
}