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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.MultivariateFunction;
import org.apache.commons.math3.exception.NotPositiveException;
import org.apache.commons.math3.exception.NotStrictlyPositiveException;
import org.apache.commons.math3.exception.NoDataException;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.NullArgumentException;
import org.apache.commons.math3.random.UnitSphereRandomVectorGenerator;

/**
 * Interpolator that implements the algorithm described in
 * William Dudziak's
 * MS thesis.
 *
 * @since 2.1
 * @deprecated Code will be removed in 4.0.  Use {@link InterpolatingMicrosphere}
 * and {@link MicrosphereProjectionInterpolator} instead.
 */
@Deprecated
public class MicrosphereInterpolator
    implements MultivariateInterpolator {
    /**
     * Default number of surface elements that composes the microsphere.
     */
    public static final int DEFAULT_MICROSPHERE_ELEMENTS = 2000;
    /**
     * Default exponent used the weights calculation.
     */
    public static final int DEFAULT_BRIGHTNESS_EXPONENT = 2;
    /**
     * Number of surface elements of the microsphere.
     */
    private final int microsphereElements;
    /**
     * Exponent used in the power law that computes the weights of the
     * sample data.
     */
    private final int brightnessExponent;

    /**
     * Create a microsphere interpolator with default settings.
     * Calling this constructor is equivalent to call {@link
     * #MicrosphereInterpolator(int, int)
     * MicrosphereInterpolator(MicrosphereInterpolator.DEFAULT_MICROSPHERE_ELEMENTS,
     * MicrosphereInterpolator.DEFAULT_BRIGHTNESS_EXPONENT)}.
     */
    public MicrosphereInterpolator() {
        this(DEFAULT_MICROSPHERE_ELEMENTS, DEFAULT_BRIGHTNESS_EXPONENT);
    }

    /** Create a microsphere interpolator.
     * @param elements Number of surface elements of the microsphere.
     * @param exponent Exponent used in the power law that computes the
     * weights (distance dimming factor) of the sample data.
     * @throws NotPositiveException if {@code exponent < 0}.
     * @throws NotStrictlyPositiveException if {@code elements <= 0}.
     */
    public MicrosphereInterpolator(final int elements,
                                   final int exponent)
        throws NotPositiveException,
               NotStrictlyPositiveException {
        if (exponent < 0) {
            throw new NotPositiveException(exponent);
        }
        if (elements <= 0) {
            throw new NotStrictlyPositiveException(elements);
        }

        microsphereElements = elements;
        brightnessExponent = exponent;
    }

    /**
     * {@inheritDoc}
     */
    public MultivariateFunction interpolate(final double[][] xval,
                                            final double[] yval)
        throws DimensionMismatchException,
               NoDataException,
               NullArgumentException {
        final UnitSphereRandomVectorGenerator rand
            = new UnitSphereRandomVectorGenerator(xval[0].length);
        return new MicrosphereInterpolatingFunction(xval, yval,
                                                    brightnessExponent,
                                                    microsphereElements,
                                                    rand);
    }
}