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 */ 017 package org.apache.commons.math3.analysis.interpolation; 018 019 import java.io.Serializable; 020 021 import org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm; 022 import org.apache.commons.math3.exception.DimensionMismatchException; 023 import org.apache.commons.math3.exception.NumberIsTooSmallException; 024 import org.apache.commons.math3.exception.NonMonotonicSequenceException; 025 026 /** 027 * Implements the <a href="http://mathworld.wolfram.com/NevillesAlgorithm.html"> 028 * Neville's Algorithm</a> for interpolation of real univariate functions. For 029 * reference, see <b>Introduction to Numerical Analysis</b>, ISBN 038795452X, 030 * chapter 2. 031 * <p> 032 * The actual code of Neville's algorithm is in PolynomialFunctionLagrangeForm, 033 * this class provides an easy-to-use interface to it.</p> 034 * 035 * @version $Id: NevilleInterpolator.java 1379904 2012-09-01 23:54:52Z erans $ 036 * @since 1.2 037 */ 038 public class NevilleInterpolator implements UnivariateInterpolator, 039 Serializable { 040 041 /** serializable version identifier */ 042 static final long serialVersionUID = 3003707660147873733L; 043 044 /** 045 * Computes an interpolating function for the data set. 046 * 047 * @param x Interpolating points. 048 * @param y Interpolating values. 049 * @return a function which interpolates the data set 050 * @throws DimensionMismatchException if the array lengths are different. 051 * @throws NumberIsTooSmallException if the number of points is less than 2. 052 * @throws NonMonotonicSequenceException if two abscissae have the same 053 * value. 054 */ 055 public PolynomialFunctionLagrangeForm interpolate(double x[], double y[]) 056 throws DimensionMismatchException, 057 NumberIsTooSmallException, 058 NonMonotonicSequenceException { 059 return new PolynomialFunctionLagrangeForm(x, y); 060 } 061 }