001/* 002 * Licensed to the Apache Software Foundation (ASF) under one or more 003 * contributor license agreements. See the NOTICE file distributed with 004 * this work for additional information regarding copyright ownership. 005 * The ASF licenses this file to You under the Apache License, Version 2.0 006 * (the "License"); you may not use this file except in compliance with 007 * the License. You may obtain a copy of the License at 008 * 009 * http://www.apache.org/licenses/LICENSE-2.0 010 * 011 * Unless required by applicable law or agreed to in writing, software 012 * distributed under the License is distributed on an "AS IS" BASIS, 013 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 014 * See the License for the specific language governing permissions and 015 * limitations under the License. 016 */ 017package org.apache.commons.math4.legacy.analysis.interpolation; 018 019import org.apache.commons.math4.legacy.analysis.polynomials.PolynomialFunctionLagrangeForm; 020import org.apache.commons.math4.legacy.exception.DimensionMismatchException; 021import org.apache.commons.math4.legacy.exception.NonMonotonicSequenceException; 022import org.apache.commons.math4.legacy.exception.NumberIsTooSmallException; 023 024/** 025 * Implements the <a href="http://mathworld.wolfram.com/NevillesAlgorithm.html"> 026 * Neville's Algorithm</a> for interpolation of real univariate functions. For 027 * reference, see <b>Introduction to Numerical Analysis</b>, ISBN 038795452X, 028 * chapter 2. 029 * <p> 030 * The actual code of Neville's algorithm is in PolynomialFunctionLagrangeForm, 031 * this class provides an easy-to-use interface to it.</p> 032 * 033 * @since 1.2 034 */ 035public class NevilleInterpolator implements UnivariateInterpolator { 036 /** 037 * Computes an interpolating function for the data set. 038 * 039 * @param x Interpolating points. 040 * @param y Interpolating values. 041 * @return a function which interpolates the data set 042 * @throws DimensionMismatchException if the array lengths are different. 043 * @throws NumberIsTooSmallException if the number of points is less than 2. 044 * @throws NonMonotonicSequenceException if two abscissae have the same 045 * value. 046 */ 047 @Override 048 public PolynomialFunctionLagrangeForm interpolate(double[] x, double[] y) 049 throws DimensionMismatchException, 050 NumberIsTooSmallException, 051 NonMonotonicSequenceException { 052 return new PolynomialFunctionLagrangeForm(x, y); 053 } 054}