1 /*
2 * Licensed to the Apache Software Foundation (ASF) under one or more
3 * contributor license agreements. See the NOTICE file distributed with
4 * this work for additional information regarding copyright ownership.
5 * The ASF licenses this file to You under the Apache License, Version 2.0
6 * (the "License"); you may not use this file except in compliance with
7 * the License. You may obtain a copy of the License at
8 *
9 * http://www.apache.org/licenses/LICENSE-2.0
10 *
11 * Unless required by applicable law or agreed to in writing, software
12 * distributed under the License is distributed on an "AS IS" BASIS,
13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14 * See the License for the specific language governing permissions and
15 * limitations under the License.
16 */
17 package org.apache.commons.math4.legacy.analysis.interpolation;
18
19 import org.apache.commons.math4.legacy.analysis.polynomials.PolynomialFunctionLagrangeForm;
20 import org.apache.commons.math4.legacy.exception.DimensionMismatchException;
21 import org.apache.commons.math4.legacy.exception.NonMonotonicSequenceException;
22 import org.apache.commons.math4.legacy.exception.NumberIsTooSmallException;
23
24 /**
25 * Implements the <a href="http://mathworld.wolfram.com/NevillesAlgorithm.html">
26 * Neville's Algorithm</a> for interpolation of real univariate functions. For
27 * reference, see <b>Introduction to Numerical Analysis</b>, ISBN 038795452X,
28 * chapter 2.
29 * <p>
30 * The actual code of Neville's algorithm is in PolynomialFunctionLagrangeForm,
31 * this class provides an easy-to-use interface to it.</p>
32 *
33 * @since 1.2
34 */
35 public class NevilleInterpolator implements UnivariateInterpolator {
36 /**
37 * Computes an interpolating function for the data set.
38 *
39 * @param x Interpolating points.
40 * @param y Interpolating values.
41 * @return a function which interpolates the data set
42 * @throws DimensionMismatchException if the array lengths are different.
43 * @throws NumberIsTooSmallException if the number of points is less than 2.
44 * @throws NonMonotonicSequenceException if two abscissae have the same
45 * value.
46 */
47 @Override
48 public PolynomialFunctionLagrangeForm interpolate(double[] x, double[] y)
49 throws DimensionMismatchException,
50 NumberIsTooSmallException,
51 NonMonotonicSequenceException {
52 return new PolynomialFunctionLagrangeForm(x, y);
53 }
54 }