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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.stat.descriptive.moment;
+
+import java.io.Serializable;
+
+import org.apache.commons.math3.exception.MathIllegalArgumentException;
+import org.apache.commons.math3.exception.NullArgumentException;
+import org.apache.commons.math3.stat.descriptive.AbstractUnivariateStatistic;
+import org.apache.commons.math3.util.MathUtils;
+
+/**
+ * <p>Computes the semivariance of a set of values with respect to a given cutoff value.
+ * We define the <i>downside semivariance</i> of a set of values <code>x</code>
+ * against the <i>cutoff value</i> <code>cutoff</code> to be <br/>
+ * <code>&Sigma; (x[i] - target)<sup>2</sup> / df</code> <br/>
+ * where the sum is taken over all <code>i</code> such that <code>x[i] < cutoff</code>
+ * and <code>df</code> is the length of <code>x</code> (non-bias-corrected) or
+ * one less than this number (bias corrected). The <i>upside semivariance</i>
+ * is defined similarly, with the sum taken over values of <code>x</code> that
+ * exceed the cutoff value.</p>
+ *
+ * <p>The cutoff value defaults to the mean, bias correction defaults to <code>true</code>
+ * and the "variance direction" (upside or downside) defaults to downside. The variance direction
+ * and bias correction may be set using property setters or their values can provided as
+ * parameters to {@link #evaluate(double[], double, Direction, boolean, int, int)}.</p>
+ *
+ * <p>If the input array is null, <code>evaluate</code> methods throw
+ * <code>IllegalArgumentException.</code> If the array has length 1, <code>0</code>
+ * is returned, regardless of the value of the <code>cutoff.</code>
+ *
+ * <p><strong>Note that this class is not intended to be threadsafe.</strong> If
+ * multiple threads access an instance of this class concurrently, and one or
+ * more of these threads invoke property setters, external synchronization must
+ * be provided to ensure correct results.</p>
+ *
+ * @since 2.1
+ */
+public class SemiVariance extends AbstractUnivariateStatistic implements Serializable {
+
+ /**
+ * The UPSIDE Direction is used to specify that the observations above the
+ * cutoff point will be used to calculate SemiVariance.
+ */
+ public static final Direction UPSIDE_VARIANCE = Direction.UPSIDE;
+
+ /**
+ * The DOWNSIDE Direction is used to specify that the observations below
+ * the cutoff point will be used to calculate SemiVariance
+ */
+ public static final Direction DOWNSIDE_VARIANCE = Direction.DOWNSIDE;
+
+ /** Serializable version identifier */
+ private static final long serialVersionUID = -2653430366886024994L;
+
+ /**
+ * Determines whether or not bias correction is applied when computing the
+ * value of the statisic. True means that bias is corrected.
+ */
+ private boolean biasCorrected = true;
+
+ /**
+ * Determines whether to calculate downside or upside SemiVariance.
+ */
+ private Direction varianceDirection = Direction.DOWNSIDE;
+
+ /**
+ * Constructs a SemiVariance with default (true) <code>biasCorrected</code>
+ * property and default (Downside) <code>varianceDirection</code> property.
+ */
+ public SemiVariance() {
+ }
+
+ /**
+ * Constructs a SemiVariance with the specified <code>biasCorrected</code>
+ * property and default (Downside) <code>varianceDirection</code> property.
+ *
+ * @param biasCorrected setting for bias correction - true means
+ * bias will be corrected and is equivalent to using the argumentless
+ * constructor
+ */
+ public SemiVariance(final boolean biasCorrected) {
+ this.biasCorrected = biasCorrected;
+ }
+
+
+ /**
+ * Constructs a SemiVariance with the specified <code>Direction</code> property
+ * and default (true) <code>biasCorrected</code> property
+ *
+ * @param direction setting for the direction of the SemiVariance
+ * to calculate
+ */
+ public SemiVariance(final Direction direction) {
+ this.varianceDirection = direction;
+ }
+
+
+ /**
+ * Constructs a SemiVariance with the specified <code>isBiasCorrected</code>
+ * property and the specified <code>Direction</code> property.
+ *
+ * @param corrected setting for bias correction - true means
+ * bias will be corrected and is equivalent to using the argumentless
+ * constructor
+ *
+ * @param direction setting for the direction of the SemiVariance
+ * to calculate
+ */
+ public SemiVariance(final boolean corrected, final Direction direction) {
+ this.biasCorrected = corrected;
+ this.varianceDirection = direction;
+ }
+
+
+ /**
+ * Copy constructor, creates a new {@code SemiVariance} identical
+ * to the {@code original}
+ *
+ * @param original the {@code SemiVariance} instance to copy
+ * @throws NullArgumentException if original is null
+ */
+ public SemiVariance(final SemiVariance original) throws NullArgumentException {
+ copy(original, this);
+ }
+
+
+ /**
+ * {@inheritDoc}
+ */
+ @Override
+ public SemiVariance copy() {
+ SemiVariance result = new SemiVariance();
+ // No try-catch or advertised exception because args are guaranteed non-null
+ copy(this, result);
+ return result;
+ }
+
+
+ /**
+ * Copies source to dest.
+ * <p>Neither source nor dest can be null.</p>
+ *
+ * @param source SemiVariance to copy
+ * @param dest SemiVariance to copy to
+ * @throws NullArgumentException if either source or dest is null
+ */
+ public static void copy(final SemiVariance source, SemiVariance dest)
+ throws NullArgumentException {
+ MathUtils.checkNotNull(source);
+ MathUtils.checkNotNull(dest);
+ dest.setData(source.getDataRef());
+ dest.biasCorrected = source.biasCorrected;
+ dest.varianceDirection = source.varianceDirection;
+ }
+
+ /**
+ * <p>Returns the {@link SemiVariance} of the designated values against the mean, using
+ * instance properties varianceDirection and biasCorrection.</p>
+ *
+ * <p>Returns <code>NaN</code> if the array is empty and throws
+ * <code>IllegalArgumentException</code> if the array is null.</p>
+ *
+ * @param values the input array
+ * @param start index of the first array element to include
+ * @param length the number of elements to include
+ * @return the SemiVariance
+ * @throws MathIllegalArgumentException if the parameters are not valid
+ *
+ */
+ @Override
+ public double evaluate(final double[] values, final int start, final int length)
+ throws MathIllegalArgumentException {
+ double m = (new Mean()).evaluate(values, start, length);
+ return evaluate(values, m, varianceDirection, biasCorrected, 0, values.length);
+ }
+
+
+ /**
+ * This method calculates {@link SemiVariance} for the entire array against the mean, using
+ * the current value of the biasCorrection instance property.
+ *
+ * @param values the input array
+ * @param direction the {@link Direction} of the semivariance
+ * @return the SemiVariance
+ * @throws MathIllegalArgumentException if values is null
+ *
+ */
+ public double evaluate(final double[] values, Direction direction)
+ throws MathIllegalArgumentException {
+ double m = (new Mean()).evaluate(values);
+ return evaluate (values, m, direction, biasCorrected, 0, values.length);
+ }
+
+ /**
+ * <p>Returns the {@link SemiVariance} of the designated values against the cutoff, using
+ * instance properties variancDirection and biasCorrection.</p>
+ *
+ * <p>Returns <code>NaN</code> if the array is empty and throws
+ * <code>MathIllegalArgumentException</code> if the array is null.</p>
+ *
+ * @param values the input array
+ * @param cutoff the reference point
+ * @return the SemiVariance
+ * @throws MathIllegalArgumentException if values is null
+ */
+ public double evaluate(final double[] values, final double cutoff)
+ throws MathIllegalArgumentException {
+ return evaluate(values, cutoff, varianceDirection, biasCorrected, 0, values.length);
+ }
+
+ /**
+ * <p>Returns the {@link SemiVariance} of the designated values against the cutoff in the
+ * given direction, using the current value of the biasCorrection instance property.</p>
+ *
+ * <p>Returns <code>NaN</code> if the array is empty and throws
+ * <code>MathIllegalArgumentException</code> if the array is null.</p>
+ *
+ * @param values the input array
+ * @param cutoff the reference point
+ * @param direction the {@link Direction} of the semivariance
+ * @return the SemiVariance
+ * @throws MathIllegalArgumentException if values is null
+ */
+ public double evaluate(final double[] values, final double cutoff, final Direction direction)
+ throws MathIllegalArgumentException {
+ return evaluate(values, cutoff, direction, biasCorrected, 0, values.length);
+ }
+
+
+ /**
+ * <p>Returns the {@link SemiVariance} of the designated values against the cutoff
+ * in the given direction with the provided bias correction.</p>
+ *
+ * <p>Returns <code>NaN</code> if the array is empty and throws
+ * <code>IllegalArgumentException</code> if the array is null.</p>
+ *
+ * @param values the input array
+ * @param cutoff the reference point
+ * @param direction the {@link Direction} of the semivariance
+ * @param corrected the BiasCorrection flag
+ * @param start index of the first array element to include
+ * @param length the number of elements to include
+ * @return the SemiVariance
+ * @throws MathIllegalArgumentException if the parameters are not valid
+ *
+ */
+ public double evaluate (final double[] values, final double cutoff, final Direction direction,
+ final boolean corrected, final int start, final int length) throws MathIllegalArgumentException {
+
+ test(values, start, length);
+ if (values.length == 0) {
+ return Double.NaN;
+ } else {
+ if (values.length == 1) {
+ return 0.0;
+ } else {
+ final boolean booleanDirection = direction.getDirection();
+
+ double dev = 0.0;
+ double sumsq = 0.0;
+ for (int i = start; i < length; i++) {
+ if ((values[i] > cutoff) == booleanDirection) {
+ dev = values[i] - cutoff;
+ sumsq += dev * dev;
+ }
+ }
+
+ if (corrected) {
+ return sumsq / (length - 1.0);
+ } else {
+ return sumsq / length;
+ }
+ }
+ }
+ }
+
+ /**
+ * Returns true iff biasCorrected property is set to true.
+ *
+ * @return the value of biasCorrected.
+ */
+ public boolean isBiasCorrected() {
+ return biasCorrected;
+ }
+
+ /**
+ * Sets the biasCorrected property.
+ *
+ * @param biasCorrected new biasCorrected property value
+ */
+ public void setBiasCorrected(boolean biasCorrected) {
+ this.biasCorrected = biasCorrected;
+ }
+
+ /**
+ * Returns the varianceDirection property.
+ *
+ * @return the varianceDirection
+ */
+ public Direction getVarianceDirection () {
+ return varianceDirection;
+ }
+
+ /**
+ * Sets the variance direction
+ *
+ * @param varianceDirection the direction of the semivariance
+ */
+ public void setVarianceDirection(Direction varianceDirection) {
+ this.varianceDirection = varianceDirection;
+ }
+
+ /**
+ * The direction of the semivariance - either upside or downside. The direction
+ * is represented by boolean, with true corresponding to UPSIDE semivariance.
+ */
+ public enum Direction {
+ /**
+ * The UPSIDE Direction is used to specify that the observations above the
+ * cutoff point will be used to calculate SemiVariance
+ */
+ UPSIDE (true),
+
+ /**
+ * The DOWNSIDE Direction is used to specify that the observations below
+ * the cutoff point will be used to calculate SemiVariance
+ */
+ DOWNSIDE (false);
+
+ /**
+ * boolean value UPSIDE <-> true
+ */
+ private boolean direction;
+
+ /**
+ * Create a Direction with the given value.
+ *
+ * @param b boolean value representing the Direction. True corresponds to UPSIDE.
+ */
+ Direction (boolean b) {
+ direction = b;
+ }
+
+ /**
+ * Returns the value of this Direction. True corresponds to UPSIDE.
+ *
+ * @return true if direction is UPSIDE; false otherwise
+ */
+ boolean getDirection () {
+ return direction;
+ }
+ }
+}