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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;
+
+import org.apache.commons.math3.exception.MathIllegalArgumentException;
+import org.apache.commons.math3.exception.NullArgumentException;
+import org.apache.commons.math3.exception.util.LocalizedFormats;
+import org.apache.commons.math3.util.MathUtils;
+
+import java.io.Serializable;
+import java.text.NumberFormat;
+import java.util.ArrayList;
+import java.util.Collection;
+import java.util.Comparator;
+import java.util.Iterator;
+import java.util.List;
+import java.util.Map;
+import java.util.Map.Entry;
+import java.util.SortedMap;
+import java.util.TreeMap;
+
+/**
+ * Maintains a frequency distribution.
+ *
+ * <p>Accepts int, long, char or Comparable values. New values added must be comparable to those
+ * that have been added, otherwise the add method will throw an IllegalArgumentException.
+ *
+ * <p>Integer values (int, long, Integer, Long) are not distinguished by type -- i.e. <code>
+ * addValue(Long.valueOf(2)), addValue(2), addValue(2l)</code> all have the same effect (similarly
+ * for arguments to <code>getCount,</code> etc.).
+ *
+ * <p>NOTE: byte and short values will be implicitly converted to int values by the compiler, thus
+ * there are no explicit overloaded methods for these primitive types.
+ *
+ * <p>char values are converted by <code>addValue</code> to Character instances. As such, these
+ * values are not comparable to integral values, so attempts to combine integral types with chars in
+ * a frequency distribution will fail.
+ *
+ * <p>Float is not coerced to Double. Since they are not Comparable with each other the user must do
+ * any necessary coercion. Float.NaN and Double.NaN are not treated specially; they may occur in
+ * input and will occur in output if appropriate. </b>
+ *
+ * <p>The values are ordered using the default (natural order), unless a <code>Comparator</code> is
+ * supplied in the constructor.
+ */
+public class Frequency implements Serializable {
+
+ /** Serializable version identifier */
+ private static final long serialVersionUID = -3845586908418844111L;
+
+ /** underlying collection */
+ private final SortedMap<Comparable<?>, Long> freqTable;
+
+ /** Default constructor. */
+ public Frequency() {
+ freqTable = new TreeMap<Comparable<?>, Long>();
+ }
+
+ /**
+ * Constructor allowing values Comparator to be specified.
+ *
+ * @param comparator Comparator used to order values
+ */
+ @SuppressWarnings("unchecked") // TODO is the cast OK?
+ public Frequency(Comparator<?> comparator) {
+ freqTable =
+ new TreeMap<Comparable<?>, Long>((Comparator<? super Comparable<?>>) comparator);
+ }
+
+ /**
+ * Return a string representation of this frequency distribution.
+ *
+ * @return a string representation.
+ */
+ @Override
+ public String toString() {
+ NumberFormat nf = NumberFormat.getPercentInstance();
+ StringBuilder outBuffer = new StringBuilder();
+ outBuffer.append("Value \t Freq. \t Pct. \t Cum Pct. \n");
+ Iterator<Comparable<?>> iter = freqTable.keySet().iterator();
+ while (iter.hasNext()) {
+ Comparable<?> value = iter.next();
+ outBuffer.append(value);
+ outBuffer.append('\t');
+ outBuffer.append(getCount(value));
+ outBuffer.append('\t');
+ outBuffer.append(nf.format(getPct(value)));
+ outBuffer.append('\t');
+ outBuffer.append(nf.format(getCumPct(value)));
+ outBuffer.append('\n');
+ }
+ return outBuffer.toString();
+ }
+
+ /**
+ * Adds 1 to the frequency count for v.
+ *
+ * <p>If other objects have already been added to this Frequency, v must be comparable to those
+ * that have already been added.
+ *
+ * @param v the value to add.
+ * @throws MathIllegalArgumentException if <code>v</code> is not comparable with previous
+ * entries
+ */
+ public void addValue(Comparable<?> v) throws MathIllegalArgumentException {
+ incrementValue(v, 1);
+ }
+
+ /**
+ * Adds 1 to the frequency count for v.
+ *
+ * @param v the value to add.
+ * @throws MathIllegalArgumentException if the table contains entries not comparable to Long
+ */
+ public void addValue(int v) throws MathIllegalArgumentException {
+ addValue(Long.valueOf(v));
+ }
+
+ /**
+ * Adds 1 to the frequency count for v.
+ *
+ * @param v the value to add.
+ * @throws MathIllegalArgumentException if the table contains entries not comparable to Long
+ */
+ public void addValue(long v) throws MathIllegalArgumentException {
+ addValue(Long.valueOf(v));
+ }
+
+ /**
+ * Adds 1 to the frequency count for v.
+ *
+ * @param v the value to add.
+ * @throws MathIllegalArgumentException if the table contains entries not comparable to Char
+ */
+ public void addValue(char v) throws MathIllegalArgumentException {
+ addValue(Character.valueOf(v));
+ }
+
+ /**
+ * Increments the frequency count for v.
+ *
+ * <p>If other objects have already been added to this Frequency, v must be comparable to those
+ * that have already been added.
+ *
+ * @param v the value to add.
+ * @param increment the amount by which the value should be incremented
+ * @throws MathIllegalArgumentException if <code>v</code> is not comparable with previous
+ * entries
+ * @since 3.1
+ */
+ public void incrementValue(Comparable<?> v, long increment)
+ throws MathIllegalArgumentException {
+ Comparable<?> obj = v;
+ if (v instanceof Integer) {
+ obj = Long.valueOf(((Integer) v).longValue());
+ }
+ try {
+ Long count = freqTable.get(obj);
+ if (count == null) {
+ freqTable.put(obj, Long.valueOf(increment));
+ } else {
+ freqTable.put(obj, Long.valueOf(count.longValue() + increment));
+ }
+ } catch (ClassCastException ex) {
+ // TreeMap will throw ClassCastException if v is not comparable
+ throw new MathIllegalArgumentException(
+ LocalizedFormats.INSTANCES_NOT_COMPARABLE_TO_EXISTING_VALUES,
+ v.getClass().getName());
+ }
+ }
+
+ /**
+ * Increments the frequency count for v.
+ *
+ * <p>If other objects have already been added to this Frequency, v must be comparable to those
+ * that have already been added.
+ *
+ * @param v the value to add.
+ * @param increment the amount by which the value should be incremented
+ * @throws MathIllegalArgumentException if the table contains entries not comparable to Long
+ * @since 3.3
+ */
+ public void incrementValue(int v, long increment) throws MathIllegalArgumentException {
+ incrementValue(Long.valueOf(v), increment);
+ }
+
+ /**
+ * Increments the frequency count for v.
+ *
+ * <p>If other objects have already been added to this Frequency, v must be comparable to those
+ * that have already been added.
+ *
+ * @param v the value to add.
+ * @param increment the amount by which the value should be incremented
+ * @throws MathIllegalArgumentException if the table contains entries not comparable to Long
+ * @since 3.3
+ */
+ public void incrementValue(long v, long increment) throws MathIllegalArgumentException {
+ incrementValue(Long.valueOf(v), increment);
+ }
+
+ /**
+ * Increments the frequency count for v.
+ *
+ * <p>If other objects have already been added to this Frequency, v must be comparable to those
+ * that have already been added.
+ *
+ * @param v the value to add.
+ * @param increment the amount by which the value should be incremented
+ * @throws MathIllegalArgumentException if the table contains entries not comparable to Char
+ * @since 3.3
+ */
+ public void incrementValue(char v, long increment) throws MathIllegalArgumentException {
+ incrementValue(Character.valueOf(v), increment);
+ }
+
+ /** Clears the frequency table */
+ public void clear() {
+ freqTable.clear();
+ }
+
+ /**
+ * Returns an Iterator over the set of values that have been added.
+ *
+ * <p>If added values are integral (i.e., integers, longs, Integers, or Longs), they are
+ * converted to Longs when they are added, so the objects returned by the Iterator will in this
+ * case be Longs.
+ *
+ * @return values Iterator
+ */
+ public Iterator<Comparable<?>> valuesIterator() {
+ return freqTable.keySet().iterator();
+ }
+
+ /**
+ * Return an Iterator over the set of keys and values that have been added. Using the entry set
+ * to iterate is more efficient in the case where you need to access respective counts as well
+ * as values, since it doesn't require a "get" for every key...the value is provided in the
+ * Map.Entry.
+ *
+ * <p>If added values are integral (i.e., integers, longs, Integers, or Longs), they are
+ * converted to Longs when they are added, so the values of the map entries returned by the
+ * Iterator will in this case be Longs.
+ *
+ * @return entry set Iterator
+ * @since 3.1
+ */
+ public Iterator<Map.Entry<Comparable<?>, Long>> entrySetIterator() {
+ return freqTable.entrySet().iterator();
+ }
+
+ // -------------------------------------------------------------------------
+
+ /**
+ * Returns the sum of all frequencies.
+ *
+ * @return the total frequency count.
+ */
+ public long getSumFreq() {
+ long result = 0;
+ Iterator<Long> iterator = freqTable.values().iterator();
+ while (iterator.hasNext()) {
+ result += iterator.next().longValue();
+ }
+ return result;
+ }
+
+ /**
+ * Returns the number of values equal to v. Returns 0 if the value is not comparable.
+ *
+ * @param v the value to lookup.
+ * @return the frequency of v.
+ */
+ public long getCount(Comparable<?> v) {
+ if (v instanceof Integer) {
+ return getCount(((Integer) v).longValue());
+ }
+ long result = 0;
+ try {
+ Long count = freqTable.get(v);
+ if (count != null) {
+ result = count.longValue();
+ }
+ } catch (ClassCastException ex) { // NOPMD
+ // ignore and return 0 -- ClassCastException will be thrown if value is not comparable
+ }
+ return result;
+ }
+
+ /**
+ * Returns the number of values equal to v.
+ *
+ * @param v the value to lookup.
+ * @return the frequency of v.
+ */
+ public long getCount(int v) {
+ return getCount(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the number of values equal to v.
+ *
+ * @param v the value to lookup.
+ * @return the frequency of v.
+ */
+ public long getCount(long v) {
+ return getCount(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the number of values equal to v.
+ *
+ * @param v the value to lookup.
+ * @return the frequency of v.
+ */
+ public long getCount(char v) {
+ return getCount(Character.valueOf(v));
+ }
+
+ /**
+ * Returns the number of values in the frequency table.
+ *
+ * @return the number of unique values that have been added to the frequency table.
+ * @see #valuesIterator()
+ */
+ public int getUniqueCount() {
+ return freqTable.keySet().size();
+ }
+
+ /**
+ * Returns the percentage of values that are equal to v (as a proportion between 0 and 1).
+ *
+ * <p>Returns <code>Double.NaN</code> if no values have been added. Returns 0 if at least one
+ * value has been added, but v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public double getPct(Comparable<?> v) {
+ final long sumFreq = getSumFreq();
+ if (sumFreq == 0) {
+ return Double.NaN;
+ }
+ return (double) getCount(v) / (double) sumFreq;
+ }
+
+ /**
+ * Returns the percentage of values that are equal to v (as a proportion between 0 and 1).
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public double getPct(int v) {
+ return getPct(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the percentage of values that are equal to v (as a proportion between 0 and 1).
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public double getPct(long v) {
+ return getPct(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the percentage of values that are equal to v (as a proportion between 0 and 1).
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public double getPct(char v) {
+ return getPct(Character.valueOf(v));
+ }
+
+ // -----------------------------------------------------------------------------------------
+
+ /**
+ * Returns the cumulative frequency of values less than or equal to v.
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup.
+ * @return the proportion of values equal to v
+ */
+ @SuppressWarnings({"rawtypes", "unchecked"})
+ public long getCumFreq(Comparable<?> v) {
+ if (getSumFreq() == 0) {
+ return 0;
+ }
+ if (v instanceof Integer) {
+ return getCumFreq(((Integer) v).longValue());
+ }
+ Comparator<Comparable<?>> c = (Comparator<Comparable<?>>) freqTable.comparator();
+ if (c == null) {
+ c = new NaturalComparator();
+ }
+ long result = 0;
+
+ try {
+ Long value = freqTable.get(v);
+ if (value != null) {
+ result = value.longValue();
+ }
+ } catch (ClassCastException ex) {
+ return result; // v is not comparable
+ }
+
+ if (c.compare(v, freqTable.firstKey()) < 0) {
+ return 0; // v is comparable, but less than first value
+ }
+
+ if (c.compare(v, freqTable.lastKey()) >= 0) {
+ return getSumFreq(); // v is comparable, but greater than the last value
+ }
+
+ Iterator<Comparable<?>> values = valuesIterator();
+ while (values.hasNext()) {
+ Comparable<?> nextValue = values.next();
+ if (c.compare(v, nextValue) > 0) {
+ result += getCount(nextValue);
+ } else {
+ return result;
+ }
+ }
+ return result;
+ }
+
+ /**
+ * Returns the cumulative frequency of values less than or equal to v.
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public long getCumFreq(int v) {
+ return getCumFreq(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the cumulative frequency of values less than or equal to v.
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public long getCumFreq(long v) {
+ return getCumFreq(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the cumulative frequency of values less than or equal to v.
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values equal to v
+ */
+ public long getCumFreq(char v) {
+ return getCumFreq(Character.valueOf(v));
+ }
+
+ // ----------------------------------------------------------------------------------------------
+
+ /**
+ * Returns the cumulative percentage of values less than or equal to v (as a proportion between
+ * 0 and 1).
+ *
+ * <p>Returns <code>Double.NaN</code> if no values have been added. Returns 0 if at least one
+ * value has been added, but v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values less than or equal to v
+ */
+ public double getCumPct(Comparable<?> v) {
+ final long sumFreq = getSumFreq();
+ if (sumFreq == 0) {
+ return Double.NaN;
+ }
+ return (double) getCumFreq(v) / (double) sumFreq;
+ }
+
+ /**
+ * Returns the cumulative percentage of values less than or equal to v (as a proportion between
+ * 0 and 1).
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values less than or equal to v
+ */
+ public double getCumPct(int v) {
+ return getCumPct(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the cumulative percentage of values less than or equal to v (as a proportion between
+ * 0 and 1).
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values less than or equal to v
+ */
+ public double getCumPct(long v) {
+ return getCumPct(Long.valueOf(v));
+ }
+
+ /**
+ * Returns the cumulative percentage of values less than or equal to v (as a proportion between
+ * 0 and 1).
+ *
+ * <p>Returns 0 if v is not comparable to the values set.
+ *
+ * @param v the value to lookup
+ * @return the proportion of values less than or equal to v
+ */
+ public double getCumPct(char v) {
+ return getCumPct(Character.valueOf(v));
+ }
+
+ /**
+ * Returns the mode value(s) in comparator order.
+ *
+ * @return a list containing the value(s) which appear most often.
+ * @since 3.3
+ */
+ public List<Comparable<?>> getMode() {
+ long mostPopular = 0; // frequencies are always positive
+
+ // Get the max count first, so we avoid having to recreate the List each time
+ for (Long l : freqTable.values()) {
+ long frequency = l.longValue();
+ if (frequency > mostPopular) {
+ mostPopular = frequency;
+ }
+ }
+
+ List<Comparable<?>> modeList = new ArrayList<Comparable<?>>();
+ for (Entry<Comparable<?>, Long> ent : freqTable.entrySet()) {
+ long frequency = ent.getValue().longValue();
+ if (frequency == mostPopular) {
+ modeList.add(ent.getKey());
+ }
+ }
+ return modeList;
+ }
+
+ // ----------------------------------------------------------------------------------------------
+
+ /**
+ * Merge another Frequency object's counts into this instance. This Frequency's counts will be
+ * incremented (or set when not already set) by the counts represented by other.
+ *
+ * @param other the other {@link Frequency} object to be merged
+ * @throws NullArgumentException if {@code other} is null
+ * @since 3.1
+ */
+ public void merge(final Frequency other) throws NullArgumentException {
+ MathUtils.checkNotNull(other, LocalizedFormats.NULL_NOT_ALLOWED);
+
+ final Iterator<Map.Entry<Comparable<?>, Long>> iter = other.entrySetIterator();
+ while (iter.hasNext()) {
+ final Map.Entry<Comparable<?>, Long> entry = iter.next();
+ incrementValue(entry.getKey(), entry.getValue().longValue());
+ }
+ }
+
+ /**
+ * Merge a {@link Collection} of {@link Frequency} objects into this instance. This Frequency's
+ * counts will be incremented (or set when not already set) by the counts represented by each of
+ * the others.
+ *
+ * @param others the other {@link Frequency} objects to be merged
+ * @throws NullArgumentException if the collection is null
+ * @since 3.1
+ */
+ public void merge(final Collection<Frequency> others) throws NullArgumentException {
+ MathUtils.checkNotNull(others, LocalizedFormats.NULL_NOT_ALLOWED);
+
+ for (final Frequency freq : others) {
+ merge(freq);
+ }
+ }
+
+ // ----------------------------------------------------------------------------------------------
+
+ /**
+ * A Comparator that compares comparable objects using the natural order. Copied from Commons
+ * Collections ComparableComparator.
+ *
+ * @param <T> the type of the objects compared
+ */
+ private static class NaturalComparator<T extends Comparable<T>>
+ implements Comparator<Comparable<T>>, Serializable {
+
+ /** Serializable version identifier */
+ private static final long serialVersionUID = -3852193713161395148L;
+
+ /**
+ * Compare the two {@link Comparable Comparable} arguments. This method is equivalent to:
+ *
+ * <pre>(({@link Comparable Comparable})o1).{@link Comparable#compareTo compareTo}(o2)</pre>
+ *
+ * @param o1 the first object
+ * @param o2 the second object
+ * @return result of comparison
+ * @throws NullPointerException when <i>o1</i> is <code>null</code>, or when <code>
+ * ((Comparable)o1).compareTo(o2)</code> does
+ * @throws ClassCastException when <i>o1</i> is not a {@link Comparable Comparable}, or when
+ * <code>((Comparable)o1).compareTo(o2)</code> does
+ */
+ @SuppressWarnings("unchecked") // cast to (T) may throw ClassCastException, see Javadoc
+ public int compare(Comparable<T> o1, Comparable<T> o2) {
+ return o1.compareTo((T) o2);
+ }
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public int hashCode() {
+ final int prime = 31;
+ int result = 1;
+ result = prime * result + ((freqTable == null) ? 0 : freqTable.hashCode());
+ return result;
+ }
+
+ /** {@inheritDoc} */
+ @Override
+ public boolean equals(Object obj) {
+ if (this == obj) {
+ return true;
+ }
+ if (!(obj instanceof Frequency)) {
+ return false;
+ }
+ Frequency other = (Frequency) obj;
+ if (freqTable == null) {
+ if (other.freqTable != null) {
+ return false;
+ }
+ } else if (!freqTable.equals(other.freqTable)) {
+ return false;
+ }
+ return true;
+ }
+}