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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
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package org.apache.commons.math3.analysis.interpolation;

import org.apache.commons.math3.util.FastMath;
import org.apache.commons.math3.util.MathUtils;

Utility class for the MicrosphereProjectionInterpolator algorithm. For 2D interpolation, this class constructs the microsphere as a series of evenly spaced facets (rather than generating random normals as in the base implementation). 
Since:
3.6/**
 * Utility class for the {@link MicrosphereProjectionInterpolator} algorithm.
 * For 2D interpolation, this class constructs the microsphere as a series of
 * evenly spaced facets (rather than generating random normals as in the
 * base implementation).
 *
 * @since 3.6
 */
public class InterpolatingMicrosphere2D extends InterpolatingMicrosphere {
    
Space dimension. /** Space dimension. */
    private static final int DIMENSION = 2;

    
Create a sphere from vectors regularly sampled around a circle.
Params:
size – Number of surface elements of the sphere.
maxDarkFraction – Maximum fraction of the facets that can be dark. If the fraction of "non-illuminated" facets is larger, no estimation of the value will be performed, and the background value will be returned instead.
darkThreshold – Value of the illumination below which a facet is
considered dark.
background – Value returned when the maxDarkFraction threshold is exceeded.
Throws:
NotStrictlyPositiveException –  if size <= 0.
NotPositiveException – if darkThreshold < 0.
OutOfRangeException – if maxDarkFraction does not belong to the interval [0, 1]./**
     * Create a sphere from vectors regularly sampled around a circle.
     *
     * @param size Number of surface elements of the sphere.
     * @param maxDarkFraction Maximum fraction of the facets that can be dark.
     * If the fraction of "non-illuminated" facets is larger, no estimation
     * of the value will be performed, and the {@code background} value will
     * be returned instead.
     * @param darkThreshold Value of the illumination below which a facet is
     * considered dark.
     * @param background Value returned when the {@code maxDarkFraction}
     * threshold is exceeded.
     * @throws org.apache.commons.math3.exception.NotStrictlyPositiveException
     * if {@code size <= 0}.
     * @throws org.apache.commons.math3.exception.NotPositiveException if
     * {@code darkThreshold < 0}.
     * @throws org.apache.commons.math3.exception.OutOfRangeException if
     * {@code maxDarkFraction} does not belong to the interval {@code [0, 1]}.
     */
    public InterpolatingMicrosphere2D(int size,
                                      double maxDarkFraction,
                                      double darkThreshold,
                                      double background) {
        super(DIMENSION, size, maxDarkFraction, darkThreshold, background);

        // Generate the microsphere normals.
        for (int i = 0; i < size; i++) {
            final double angle = i * MathUtils.TWO_PI / size;

            add(new double[] { FastMath.cos(angle),
                               FastMath.sin(angle) },
                false);
        }
    }

    
Copy constructor.
Params:
other – Instance to copy./**
     * Copy constructor.
     *
     * @param other Instance to copy.
     */
    protected InterpolatingMicrosphere2D(InterpolatingMicrosphere2D other) {
        super(other);
    }

    
Perform a copy.
Returns:
a copy of this instance./**
     * Perform a copy.
     *
     * @return a copy of this instance.
     */
    @Override
    public InterpolatingMicrosphere2D copy() {
        return new InterpolatingMicrosphere2D(this);
    }
}