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With inspiration from other libraries

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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 org.apache.commons.math3.analysis.UnivariateFunction;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathIllegalArgumentException;

/**
 * Interface representing a univariate real interpolating function.
 *
 */
public interface UnivariateInterpolator {
    /**
     * Compute an interpolating function for the dataset.
     *
     * @param xval Arguments for the interpolation points.
     * @param yval Values for the interpolation points.
     * @return a function which interpolates the dataset.
     * @throws MathIllegalArgumentException
     * if the arguments violate assumptions made by the interpolation
     * algorithm.
     * @throws DimensionMismatchException if arrays lengthes do not match
     */
    UnivariateFunction interpolate(double xval[], double yval[])
        throws MathIllegalArgumentException, DimensionMismatchException;
}