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/*
* 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.math3.analysis.interpolation;
import java.io.Serializable;
import org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;
import org.apache.commons.math3.exception.NonMonotonicSequenceException;
/**
* Implements the <a href="http://mathworld.wolfram.com/NevillesAlgorithm.html">
* Neville's Algorithm</a> for interpolation of real univariate functions. For
* reference, see <b>Introduction to Numerical Analysis</b>, ISBN 038795452X,
* chapter 2.
* <p>
* The actual code of Neville's algorithm is in PolynomialFunctionLagrangeForm,
* this class provides an easy-to-use interface to it.</p>
*
* @since 1.2
*/
public class NevilleInterpolator implements UnivariateInterpolator,
Serializable {
/** serializable version identifier */
static final long serialVersionUID = 3003707660147873733L;
/**
* Computes an interpolating function for the data set.
*
* @param x Interpolating points.
* @param y Interpolating values.
* @return a function which interpolates the data set
* @throws DimensionMismatchException if the array lengths are different.
* @throws NumberIsTooSmallException if the number of points is less than 2.
* @throws NonMonotonicSequenceException if two abscissae have the same
* value.
*/
public PolynomialFunctionLagrangeForm interpolate(double x[], double y[])
throws DimensionMismatchException,
NumberIsTooSmallException,
NonMonotonicSequenceException {
return new PolynomialFunctionLagrangeForm(x, y);
}
}
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