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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.ml.neuralnet.sofm;

import org.apache.commons.math3.ml.neuralnet.sofm.util.ExponentialDecayFunction;
import org.apache.commons.math3.ml.neuralnet.sofm.util.QuasiSigmoidDecayFunction;
import org.apache.commons.math3.exception.OutOfRangeException;

/**
 * Factory for creating instances of {@link LearningFactorFunction}.
 *
 * @since 3.3
 */
public class LearningFactorFunctionFactory {
    /** Class contains only static methods. */
    private LearningFactorFunctionFactory() {}

    /**
     * Creates an exponential decay {@link LearningFactorFunction function}.
     * It will compute a e^{-x / b},
     * where {@code x} is the (integer) independent variable and
     * 
     *  a = initValue
     *  
b = -numCall / ln(valueAtNumCall / initValue)
     * 
     *
     * @param initValue Initial value, i.e.
     * {@link LearningFactorFunction#value(long) value(0)}.
     * @param valueAtNumCall Value of the function at {@code numCall}.
     * @param numCall Argument for which the function returns
     * {@code valueAtNumCall}.
     * @return the learning factor function.
     * @throws org.apache.commons.math3.exception.OutOfRangeException
     * if {@code initValue <= 0} or {@code initValue > 1}.
     * @throws org.apache.commons.math3.exception.NotStrictlyPositiveException
     * if {@code valueAtNumCall <= 0}.
     * @throws org.apache.commons.math3.exception.NumberIsTooLargeException
     * if {@code valueAtNumCall >= initValue}.
     * @throws org.apache.commons.math3.exception.NotStrictlyPositiveException
     * if {@code numCall <= 0}.
     */
    public static LearningFactorFunction exponentialDecay(final double initValue,
                                                          final double valueAtNumCall,
                                                          final long numCall) {
        if (initValue <= 0 ||
            initValue > 1) {
            throw new OutOfRangeException(initValue, 0, 1);
        }

        return new LearningFactorFunction() {
            /** DecayFunction. */
            private final ExponentialDecayFunction decay
                = new ExponentialDecayFunction(initValue, valueAtNumCall, numCall);

            /** {@inheritDoc} */
            public double value(long n) {
                return decay.value(n);
            }
        };
    }

    /**
     * Creates an sigmoid-like {@code LearningFactorFunction function}.
     * The function {@code f} will have the following properties:
     * 
     *  {@code f(0) = initValue}
     *  {@code numCall} is the inflexion point
     *  {@code slope = f'(numCall)}
     * 
     *
     * @param initValue Initial value, i.e.
     * {@link LearningFactorFunction#value(long) value(0)}.
     * @param slope Value of the function derivative at {@code numCall}.
     * @param numCall Inflexion point.
     * @return the learning factor function.
     * @throws org.apache.commons.math3.exception.OutOfRangeException
     * if {@code initValue <= 0} or {@code initValue > 1}.
     * @throws org.apache.commons.math3.exception.NumberIsTooLargeException
     * if {@code slope >= 0}.
     * @throws org.apache.commons.math3.exception.NotStrictlyPositiveException
     * if {@code numCall <= 0}.
     */
    public static LearningFactorFunction quasiSigmoidDecay(final double initValue,
                                                           final double slope,
                                                           final long numCall) {
        if (initValue <= 0 ||
            initValue > 1) {
            throw new OutOfRangeException(initValue, 0, 1);
        }

        return new LearningFactorFunction() {
            /** DecayFunction. */
            private final QuasiSigmoidDecayFunction decay
                = new QuasiSigmoidDecayFunction(initValue, slope, numCall);

            /** {@inheritDoc} */
            public double value(long n) {
                return decay.value(n);
            }
        };
    }
}