Java Tutorial/Collections/Array Sort Search

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FastQSorts the [l,r] partition (inclusive) of the specfied array of Rows, using the comparator.

/* Copyright (c) 1995-2000, The Hypersonic SQL Group.
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.
 *
 * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * Neither the name of the Hypersonic SQL Group nor the names of its
 * contributors may be used to endorse or promote products derived from this
 * software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL THE HYPERSONIC SQL GROUP,
 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 *
 * This software consists of voluntary contributions made by many individuals
 * on behalf of the Hypersonic SQL Group.
 *
 *
 * For work added by the HSQL Development Group:
 *
 * Copyright (c) 2001-2009, The HSQL Development Group
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.
 *
 * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * Neither the name of the HSQL Development Group nor the names of its
 * contributors may be used to endorse or promote products derived from this
 * software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL HSQL DEVELOPMENT GROUP, HSQLDB.ORG,
 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */
/**
 * FastQSorts the [l,r] partition (inclusive) of the specfied array of Rows,
 * using the comparator.
 * 
 * Modified from the original method in Hypersonic with the addition of the
 * comparator. (fredt@users)
 * 
 * @author Thomas Mueller (Hypersonic SQL Group)
 * @version 1.7.2
 * @since 1.7.2
 */
public class Sort {
  public static final void sort(Object[] w, ObjectComparator comparator, int l, int r) {
    int i;
    int j;
    Object p;
    if (l > r) {
      return;
    }
    while (r - l > 10) {
      i = (r + l) >>> 1;
      if (comparator.rupare(w[l], w[r]) > 0) {
        swap(w, l, r);
      }
      if (comparator.rupare(w[i], w[l]) < 0) {
        swap(w, l, i);
      } else if (comparator.rupare(w[i], w[r]) > 0) {
        swap(w, i, r);
      }
      j = r - 1;
      swap(w, i, j);
      p = w[j];
      i = l;
      while (true) {
        while (comparator.rupare(w[++i], p) < 0) {
          ;
        }
        while (comparator.rupare(w[--j], p) > 0) {
          ;
        }
        if (i >= j) {
          break;
        }
        swap(w, i, j);
      }
      swap(w, i, r - 1);
      sort(w, comparator, l, i - 1);
      l = i + 1;
    }
    for (i = l + 1; i <= r; i++) {
      Object t = w[i];
      for (j = i - 1; j >= l && comparator.rupare(w[j], t) > 0; j--) {
        w[j + 1] = w[j];
      }
      w[j + 1] = t;
    }
  }
  /**
   * Swaps the a"th and b"th elements of the specified Row array.
   */
  private static void swap(Object[] w, int a, int b) {
    Object t = w[a];
    w[a] = w[b];
    w[b] = t;
  }
}
interface ObjectComparator {
  int compare(Object a, Object b);
}





Finds the index of the given object in the array.

/*   Copyright 2004 The Apache Software Foundation
 *
 *   Licensed 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.
 */

import java.lang.reflect.Array;

/**
 * Operations on arrays, primitive arrays (like <code>int[]</code>) and
 * primitive wrapper arrays (like <code>Integer[]</code>).
 * 
 * This class tries to handle <code>null</code> input gracefully.
 * An exception will not be thrown for a <code>null</code>
 * array input. However, an Object array that contains a <code>null</code>
 * element may throw an exception. Each method documents its behaviour.
 *
 * @author Stephen Colebourne
 * @author Moritz Petersen
 * @author 
 * @author Maarten Coene
 * @since 2.0
 * @version $Id: ArrayUtils.java 632503 2008-03-01 00:21:52Z ggregory $
 */
public class Main {
  /**
   * Finds the index of the given object in the array.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param objectToFind  the object to find, may be <code>null</code>
   * @return the index of the object within the array, 
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int indexOf(Object[] array, Object objectToFind) {
      return indexOf(array, objectToFind, 0);
  }
  /**
   * Finds the index of the given object in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex is treated as zero. A startIndex larger than the array
   * length will return {@link #INDEX_NOT_FOUND} (<code>-1</code>).
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param objectToFind  the object to find, may be <code>null</code>
   * @param startIndex  the index to start searching at
   * @return the index of the object within the array starting at the index,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int indexOf(Object[] array, Object objectToFind, int startIndex) {
      if (array == null) {
          return -1;
      }
      if (startIndex < 0) {
          startIndex = 0;
      }
      if (objectToFind == null) {
          for (int i = startIndex; i < array.length; i++) {
              if (array[i] == null) {
                  return i;
              }
          }
      } else {
          for (int i = startIndex; i < array.length; i++) {
              if (objectToFind.equals(array[i])) {
                  return i;
              }
          }
      }
      return -1;
  }
}





Finds the index of the given object in the array starting at the given index.

/*   Copyright 2004 The Apache Software Foundation
 *
 *   Licensed 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.
 */

import java.lang.reflect.Array;

/**
 * Operations on arrays, primitive arrays (like <code>int[]</code>) and
 * primitive wrapper arrays (like <code>Integer[]</code>).
 * 
 * This class tries to handle <code>null</code> input gracefully.
 * An exception will not be thrown for a <code>null</code>
 * array input. However, an Object array that contains a <code>null</code>
 * element may throw an exception. Each method documents its behaviour.
 *
 * @author Stephen Colebourne
 * @author Moritz Petersen
 * @author 
 * @author Maarten Coene
 * @since 2.0
 * @version $Id: ArrayUtils.java 632503 2008-03-01 00:21:52Z ggregory $
 */
public class Main {
  /**
   * Finds the index of the given object in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex is treated as zero. A startIndex larger than the array
   * length will return {@link #INDEX_NOT_FOUND} (<code>-1</code>).
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param objectToFind  the object to find, may be <code>null</code>
   * @param startIndex  the index to start searching at
   * @return the index of the object within the array starting at the index,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int indexOf(Object[] array, Object objectToFind, int startIndex) {
      if (array == null) {
          return -1;
      }
      if (startIndex < 0) {
          startIndex = 0;
      }
      if (objectToFind == null) {
          for (int i = startIndex; i < array.length; i++) {
              if (array[i] == null) {
                  return i;
              }
          }
      } else {
          for (int i = startIndex; i < array.length; i++) {
              if (objectToFind.equals(array[i])) {
                  return i;
              }
          }
      }
      return -1;
  }
}





Finds the last index of the given object in the array starting at the given index.

/*   Copyright 2004 The Apache Software Foundation
 *
 *   Licensed 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.
 */

import java.lang.reflect.Array;

/**
 * Operations on arrays, primitive arrays (like <code>int[]</code>) and
 * primitive wrapper arrays (like <code>Integer[]</code>).
 * 
 * This class tries to handle <code>null</code> input gracefully.
 * An exception will not be thrown for a <code>null</code>
 * array input. However, an Object array that contains a <code>null</code>
 * element may throw an exception. Each method documents its behaviour.
 *
 * @author Stephen Colebourne
 * @author Moritz Petersen
 * @author 
 * @author Maarten Coene
 * @since 2.0
 * @version $Id: ArrayUtils.java 632503 2008-03-01 00:21:52Z ggregory $
 */
public class Main {
  /**
   * Finds the last index of the given object in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex will return {@link #INDEX_NOT_FOUND} (<code>-1</code>). A startIndex larger than
   * the array length will search from the end of the array.
   * 
   * @param array  the array to traverse for looking for the object, may be <code>null</code>
   * @param objectToFind  the object to find, may be <code>null</code>
   * @param startIndex  the start index to travers backwards from
   * @return the last index of the object within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int lastIndexOf(Object[] array, Object objectToFind, int startIndex) {
      if (array == null) {
          return -1;
      }
      if (startIndex < 0) {
          return -1;
      } else if (startIndex >= array.length) {
          startIndex = array.length - 1;
      }
      if (objectToFind == null) {
          for (int i = startIndex; i >= 0; i--) {
              if (array[i] == null) {
                  return i;
              }
          }
      } else {
          for (int i = startIndex; i >= 0; i--) {
              if (objectToFind.equals(array[i])) {
                  return i;
              }
          }
      }
      return -1;
  }
}





Finds the value in the range (start,limit) of the largest element (rank) where the count of all smaller elements in that range is less than or equals target.

/* Copyright (c) 2001-2009, The HSQL Development Group
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.
 *
 * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * Neither the name of the HSQL Development Group nor the names of its
 * contributors may be used to endorse or promote products derived from this
 * software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL HSQL DEVELOPMENT GROUP, HSQLDB.ORG,
 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

/**
 * Collection of routines for counting the distribution of the values
 * in an int[] array.
 *
 * @author Fred Toussi (fredt@users dot sourceforge.net)
 * @version 1.7.2
 * @since 1.7.2
 */
public class ArrayCounter {
    /**
     * Returns an int[] array of length segments containing the distribution
     * count of the elements in unsorted int[] array with values between min
     * and max (range). Values outside the min-max range are ignored
     *
     * A usage example is determining the count of people of each age group
     * in a large int[] array containing the age of each person. Called with
     * (array, 16,0,79), it will return an int[16] with the first element
     * the count of people aged 0-4, the second element the count of those
     * aged 5-9, and so on. People above the age of 79 are excluded. If the
     * range is not a multiple of segments, the last segment will be cover a
     * smaller sub-range than the rest.
     *
     */
    public static int[] countSegments(int[] array, int elements,
                                      int segments, int start, int limit) {
        int[] counts   = new int[segments];
        long  interval = calcInterval(segments, start, limit);
        int   index    = 0;
        int   element  = 0;
        if (interval <= 0) {
            return counts;
        }
        for (int i = 0; i < elements; i++) {
            element = array[i];
            if (element < start || element >= limit) {
                continue;
            }
            index = (int) ((element - start) / interval);
            counts[index]++;
        }
        return counts;
    }
    /**
     * With an unsorted int[] array and with target a positive integer in the
     * range (1,array.length), finds the value in the range (start,limit) of the
     * largest element (rank) where the count of all smaller elements in that
     * range is less than or equals target. Parameter margin indicates the
     * margin of error in target
     *
     * In statistics, this can be used to calculate a median or quadrile value.
     * A usage example applied to an array of age values is to determine
     * the maximum age of a given number of people. With the example array
     * given in countSegments, rank(array, c, 6000, 18, 65, 0) will return an age
     * value between 18-64 (inclusive) and the count of all people aged between
     * 18 and the returned value(exclusive) will be less than or equal 6000.
     *
     */
    public static int rank(int[] array, int elements, int target, int start,
                           int limit, int margin) {
        final int segments     = 256;
        int       elementCount = 0;
        int       currentLimit = limit;
        for (;;) {
            long interval = calcInterval(segments, start, currentLimit);
            int[] counts = countSegments(array, elements, segments, start,
                                         currentLimit);
            for (int i = 0; i < counts.length; i++) {
                if (elementCount + counts[i] < target) {
                    elementCount += counts[i];
                    start        += interval;
                } else {
                    break;
                }
            }
            if (elementCount + margin >= target) {
                return start;
            }
            if (interval <= 1) {
                return start;
            }
            currentLimit = start + interval < limit ? (int) (start + interval)
                                                    : limit;
        }
    }
    /**
     * Helper method to calculate the span of the sub-interval. Simply returns
     * the cieling of ((limit - start) / segments) and accounts for invalid
     * start and limit combinations.
     */
    static long calcInterval(int segments, int start, int limit) {
        long range = limit - start;
        if (range < 0) {
            return 0;
        }
        int partSegment = (range % segments) == 0 ? 0
                                                  : 1;
        return (range / segments) + partSegment;
    }
}





Get the element index or last index among a boolean type array

/*   Copyright 2004 The Apache Software Foundation
 *
 *   Licensed 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.
 */

import java.lang.reflect.Array;

/**
 * Operations on arrays, primitive arrays (like <code>int[]</code>) and
 * primitive wrapper arrays (like <code>Integer[]</code>).
 * 
 * This class tries to handle <code>null</code> input gracefully.
 * An exception will not be thrown for a <code>null</code>
 * array input. However, an Object array that contains a <code>null</code>
 * element may throw an exception. Each method documents its behaviour.
 *
 * @author Stephen Colebourne
 * @author Moritz Petersen
 * @author 
 * @author Maarten Coene
 * @since 2.0
 * @version $Id: ArrayUtils.java 632503 2008-03-01 00:21:52Z ggregory $
 */
public class Main {
  /**
   * The index value when an element is not found in a list or array: <code>-1</code>.
   * This value is returned by methods in this class and can also be used in comparisons with values returned by
   * various method from {@link java.util.List}.
   */
  public static final int INDEX_NOT_FOUND = -1;
  // boolean IndexOf
  //-----------------------------------------------------------------------
  /**
   * Finds the index of the given value in the array.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param valueToFind  the value to find
   * @return the index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int indexOf(boolean[] array, boolean valueToFind) {
      return indexOf(array, valueToFind, 0);
  }
  /**
   * Finds the index of the given value in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex is treated as zero. A startIndex larger than the array
   * length will return {@link #INDEX_NOT_FOUND} (<code>-1</code>).
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param valueToFind  the value to find
   * @param startIndex  the index to start searching at
   * @return the index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code>
   *  array input
   */
  public static int indexOf(boolean[] array, boolean valueToFind, int startIndex) {
      if (isEmpty(array)) {
          return INDEX_NOT_FOUND;
      }
      if (startIndex < 0) {
          startIndex = 0;
      }
      for (int i = startIndex; i < array.length; i++) {
          if (valueToFind == array[i]) {
              return i;
          }
      }
      return INDEX_NOT_FOUND;
  }
  /**
   * Finds the last index of the given value within the array.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) if 
   * <code>null</code> array input.
   * 
   * @param array  the array to travers backwords looking for the object, may be <code>null</code>
   * @param valueToFind  the object to find
   * @return the last index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int lastIndexOf(boolean[] array, boolean valueToFind) {
      return lastIndexOf(array, valueToFind, Integer.MAX_VALUE);
  }
  /**
   * Finds the last index of the given value in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex will return {@link #INDEX_NOT_FOUND} (<code>-1</code>). A startIndex larger than 
   * the array length will search from the end of the array.
   * 
   * @param array  the array to traverse for looking for the object, may be <code>null</code>
   * @param valueToFind  the value to find
   * @param startIndex  the start index to travers backwards from
   * @return the last index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int lastIndexOf(boolean[] array, boolean valueToFind, int startIndex) {
      if (isEmpty(array)) {
          return INDEX_NOT_FOUND;
      }
      if (startIndex < 0) {
          return INDEX_NOT_FOUND;
      } else if (startIndex >= array.length) {
          startIndex = array.length - 1;
      }
      for (int i = startIndex; i >= 0; i--) {
          if (valueToFind == array[i]) {
              return i;
          }
      }
      return INDEX_NOT_FOUND;
  }
  /**
   * Checks if the value is in the given array.
   *
   * The method returns <code>false</code> if a <code>null</code> array is passed in.
   * 
   * @param array  the array to search through
   * @param valueToFind  the value to find
   * @return <code>true</code> if the array contains the object
   */
  public static boolean contains(boolean[] array, boolean valueToFind) {
      return indexOf(array, valueToFind) != INDEX_NOT_FOUND;
  }

  /**
   * Checks if an array of primitive doubles is empty or <code>null</code>.
   *
   * @param array  the array to test
   * @return <code>true</code> if the array is empty or <code>null</code>
   * @since 2.1
   */
  public static boolean isEmpty(boolean[] array) {
      if (array == null || array.length == 0) {
          return true;
      }
      return false;
  }
}





Get the index and last index of an int type value array

/*   Copyright 2004 The Apache Software Foundation
 *
 *   Licensed 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.
 */

import java.lang.reflect.Array;

/**
 * Operations on arrays, primitive arrays (like <code>int[]</code>) and
 * primitive wrapper arrays (like <code>Integer[]</code>).
 * 
 * This class tries to handle <code>null</code> input gracefully.
 * An exception will not be thrown for a <code>null</code>
 * array input. However, an Object array that contains a <code>null</code>
 * element may throw an exception. Each method documents its behaviour.
 *
 * @author Stephen Colebourne
 * @author Moritz Petersen
 * @author 
 * @author Maarten Coene
 * @since 2.0
 * @version $Id: ArrayUtils.java 632503 2008-03-01 00:21:52Z ggregory $
 */
public class Main {
  /**
   * The index value when an element is not found in a list or array: <code>-1</code>.
   * This value is returned by methods in this class and can also be used in comparisons with values returned by
   * various method from {@link java.util.List}.
   */
  public static final int INDEX_NOT_FOUND = -1;
  // int IndexOf
  //-----------------------------------------------------------------------
  /**
   * Finds the index of the given value in the array.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param valueToFind  the value to find
   * @return the index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int indexOf(int[] array, int valueToFind) {
      return indexOf(array, valueToFind, 0);
  }
  /**
   * Finds the index of the given value in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex is treated as zero. A startIndex larger than the array
   * length will return {@link #INDEX_NOT_FOUND} (<code>-1</code>).
   * 
   * @param array  the array to search through for the object, may be <code>null</code>
   * @param valueToFind  the value to find
   * @param startIndex  the index to start searching at
   * @return the index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int indexOf(int[] array, int valueToFind, int startIndex) {
      if (array == null) {
          return INDEX_NOT_FOUND;
      }
      if (startIndex < 0) {
          startIndex = 0;
      }
      for (int i = startIndex; i < array.length; i++) {
          if (valueToFind == array[i]) {
              return i;
          }
      }
      return INDEX_NOT_FOUND;
  }
  /**
   * Finds the last index of the given value within the array.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   * 
   * @param array  the array to travers backwords looking for the object, may be <code>null</code>
   * @param valueToFind  the object to find
   * @return the last index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int lastIndexOf(int[] array, int valueToFind) {
      return lastIndexOf(array, valueToFind, Integer.MAX_VALUE);
  }
  /**
   * Finds the last index of the given value in the array starting at the given index.
   *
   * This method returns {@link #INDEX_NOT_FOUND} (<code>-1</code>) for a <code>null</code> input array.
   *
   * A negative startIndex will return {@link #INDEX_NOT_FOUND} (<code>-1</code>). A startIndex larger than the
   * array length will search from the end of the array.
   * 
   * @param array  the array to traverse for looking for the object, may be <code>null</code>
   * @param valueToFind  the value to find
   * @param startIndex  the start index to travers backwards from
   * @return the last index of the value within the array,
   *  {@link #INDEX_NOT_FOUND} (<code>-1</code>) if not found or <code>null</code> array input
   */
  public static int lastIndexOf(int[] array, int valueToFind, int startIndex) {
      if (array == null) {
          return INDEX_NOT_FOUND;
      }
      if (startIndex < 0) {
          return INDEX_NOT_FOUND;
      } else if (startIndex >= array.length) {
          startIndex = array.length - 1;
      }
      for (int i = startIndex; i >= 0; i--) {
          if (valueToFind == array[i]) {
              return i;
          }
      }
      return INDEX_NOT_FOUND;
  }
  /**
   * Checks if the value is in the given array.
   *
   * The method returns <code>false</code> if a <code>null</code> array is passed in.
   * 
   * @param array  the array to search through
   * @param valueToFind  the value to find
   * @return <code>true</code> if the array contains the object
   */
  public static boolean contains(int[] array, int valueToFind) {
      return indexOf(array, valueToFind) != INDEX_NOT_FOUND;
  }
}





Object Arrays: Searching for elements in a sorted object array

public static int binarySearch(Object array[], Object key)
public static int binarySearch(Object array[], Object key, Comparator c)



B
H
I
L
M
N
R
Found M @ 4


Produces a new array containing the elements between the start and end indices.

import java.lang.reflect.Array;
/* 
 * 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.
 *
 *
 */

/**
 * @author Stephen Colebourne
 * @author Moritz Petersen
 * @author 
 * @author Maarten Coene
 * @since 2.0
 * @version $Id: ArrayUtils.java 632503 2008-03-01 00:21:52Z ggregory $
 */
public class Main {
  // Subarrays
  //-----------------------------------------------------------------------
  /**
   * Produces a new array containing the elements between
   * the start and end indices.
   *
   * The start index is inclusive, the end index exclusive.
   * Null array input produces null output.
   *
   * The component type of the subarray is always the same as
   * that of the input array. Thus, if the input is an array of type
   * <code>Date</code>, the following usage is envisaged:
   *
   * <pre>
   * Date[] someDates = (Date[])ArrayUtils.subarray(allDates, 2, 5);
   * </pre>
   *
   * @param array  the array
   * @param startIndexInclusive  the starting index. Undervalue (&lt;0)
   *      is promoted to 0, overvalue (&gt;array.length) results
   *      in an empty array.
   * @param endIndexExclusive  elements up to endIndex-1 are present in the
   *      returned subarray. Undervalue (&lt; startIndex) produces
   *      empty array, overvalue (&gt;array.length) is demoted to
   *      array length.
   * @return a new array containing the elements between
   *      the start and end indices.
   * @since 2.1
   */
  public static Object[] subarray(Object[] array, int startIndexInclusive, int endIndexExclusive) {
      if (array == null) {
          return null;
      }
      if (startIndexInclusive < 0) {
          startIndexInclusive = 0;
      }
      if (endIndexExclusive > array.length) {
          endIndexExclusive = array.length;
      }
      int newSize = endIndexExclusive - startIndexInclusive;
      Class type = array.getClass().getComponentType();
      if (newSize <= 0) {
          return (Object[]) Array.newInstance(type, 0);
      }
      Object[] subarray = (Object[]) Array.newInstance(type, newSize);
      System.arraycopy(array, startIndexInclusive, subarray, 0, newSize);
      return subarray;
  }
}





Returns an index into arra (or -1) where the character is not in the charset byte array.

/* Copyright (c) 2001-2009, The HSQL Development Group
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.
 *
 * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * Neither the name of the HSQL Development Group nor the names of its
 * contributors may be used to endorse or promote products derived from this
 * software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL HSQL DEVELOPMENT GROUP, HSQLDB.ORG,
 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

/**
 * Collection of static methods for operations on arrays
 *
 * @author Fred Toussi (fredt@users dot sourceforge.net)
 * @version 1.9.0
 * @since 1.7.2
 */
public class Main {
  /**
   * Returns an index into arra (or -1) where the character is not in the
   * charset byte array.
   */
  public static int findNotIn(byte[] arra, int start, int limit,
                              byte[] charset) {
      int k = 0;
      for (; k < limit; k++) {
          for (int i = 0; i < charset.length; i++) {
              if (arra[k] == charset[i]) {
                  continue;
              }
          }
          return k;
      }
      return -1;
  }
}





Returns an int[] array of length segments containing the distribution count of the elements in unsorted int[] array with values between min and max (range).

/* Copyright (c) 2001-2009, The HSQL Development Group
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.
 *
 * Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * Neither the name of the HSQL Development Group nor the names of its
 * contributors may be used to endorse or promote products derived from this
 * software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL HSQL DEVELOPMENT GROUP, HSQLDB.ORG,
 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

/**
 * Collection of routines for counting the distribution of the values
 * in an int[] array.
 *
 * @author Fred Toussi (fredt@users dot sourceforge.net)
 * @version 1.7.2
 * @since 1.7.2
 */
public class ArrayCounter {
    /**
     * Returns an int[] array of length segments containing the distribution
     * count of the elements in unsorted int[] array with values between min
     * and max (range). Values outside the min-max range are ignored
     *
     * A usage example is determining the count of people of each age group
     * in a large int[] array containing the age of each person. Called with
     * (array, 16,0,79), it will return an int[16] with the first element
     * the count of people aged 0-4, the second element the count of those
     * aged 5-9, and so on. People above the age of 79 are excluded. If the
     * range is not a multiple of segments, the last segment will be cover a
     * smaller sub-range than the rest.
     *
     */
    public static int[] countSegments(int[] array, int elements,
                                      int segments, int start, int limit) {
        int[] counts   = new int[segments];
        long  interval = calcInterval(segments, start, limit);
        int   index    = 0;
        int   element  = 0;
        if (interval <= 0) {
            return counts;
        }
        for (int i = 0; i < elements; i++) {
            element = array[i];
            if (element < start || element >= limit) {
                continue;
            }
            index = (int) ((element - start) / interval);
            counts[index]++;
        }
        return counts;
    }
    /**
     * With an unsorted int[] array and with target a positive integer in the
     * range (1,array.length), finds the value in the range (start,limit) of the
     * largest element (rank) where the count of all smaller elements in that
     * range is less than or equals target. Parameter margin indicates the
     * margin of error in target
     *
     * In statistics, this can be used to calculate a median or quadrile value.
     * A usage example applied to an array of age values is to determine
     * the maximum age of a given number of people. With the example array
     * given in countSegments, rank(array, c, 6000, 18, 65, 0) will return an age
     * value between 18-64 (inclusive) and the count of all people aged between
     * 18 and the returned value(exclusive) will be less than or equal 6000.
     *
     */
    public static int rank(int[] array, int elements, int target, int start,
                           int limit, int margin) {
        final int segments     = 256;
        int       elementCount = 0;
        int       currentLimit = limit;
        for (;;) {
            long interval = calcInterval(segments, start, currentLimit);
            int[] counts = countSegments(array, elements, segments, start,
                                         currentLimit);
            for (int i = 0; i < counts.length; i++) {
                if (elementCount + counts[i] < target) {
                    elementCount += counts[i];
                    start        += interval;
                } else {
                    break;
                }
            }
            if (elementCount + margin >= target) {
                return start;
            }
            if (interval <= 1) {
                return start;
            }
            currentLimit = start + interval < limit ? (int) (start + interval)
                                                    : limit;
        }
    }
    /**
     * Helper method to calculate the span of the sub-interval. Simply returns
     * the cieling of ((limit - start) / segments) and accounts for invalid
     * start and limit combinations.
     */
    static long calcInterval(int segments, int start, int limit) {
        long range = limit - start;
        if (range < 0) {
            return 0;
        }
        int partSegment = (range % segments) == 0 ? 0
                                                  : 1;
        return (range / segments) + partSegment;
    }
}





Returns the minimum value in an array.

/*
 * 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.
 */

/**
 * Provides extra functionality for Java Number classes.
 *
 * @author 
 * @since 2.0
 * @version $Id: NumberUtils.java 609475 2008-01-06 23:58:59Z bayard $
 */
public class Main {
  
  /**
   * Returns the minimum value in an array.
   * 
   * @param array  an array, must not be null or empty
   * @return the minimum value in the array
   * @throws IllegalArgumentException if <code>array</code> is <code>null</code>
   * @throws IllegalArgumentException if <code>array</code> is empty
   */
  public static long min(long[] array) {
      // Validates input
      if (array == null) {
          throw new IllegalArgumentException("The Array must not be null");
      } else if (array.length == 0) {
          throw new IllegalArgumentException("Array cannot be empty.");
      }
  
      // Finds and returns min
      long min = array[0];
      for (int i = 1; i < array.length; i++) {
          if (array[i] < min) {
              min = array[i];
          }
      }
  
      return min;
  }
}





Returns true if all the references in array1 are equal to all the references in array2 (two null references are considered equal for this test).

/* 
 * JCommon : a free general purpose class library for the Java(tm) platform
 * 
 *
 * (C) Copyright 2000-2005, by Object Refinery Limited and Contributors.
 *
 * Project Info:  http://www.jfree.org/jcommon/index.html
 *
 * This library is free software; you can redistribute it and/or modify it
 * under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation; either version 2.1 of the License, or
 * (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
 * License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301,
 * USA.
 *
 * [Java is a trademark or registered trademark of Sun Microsystems, Inc.
 * in the United States and other countries.]
 *
 * -------------------
 * ArrayUtilities.java
 * -------------------
 * (C) Copyright 2003-2005, by Object Refinery Limited.
 *
 * Original Author:  David Gilbert (for Object Refinery Limited);
 * Contributor(s):   -;
 *
 * $Id: ArrayUtilities.java,v 1.7 2008/09/10 09:21:30 mungady Exp $
 *
 * Changes
 * -------
 * 21-Aug-2003 : Version 1 (DG);
 * 04-Oct-2004 : Renamed ArrayUtils --> ArrayUtilities (DG);
 *
 */
public class Main {
  /**
   * Returns <code>true</code> if all the references in <code>array1</code>
   * are equal to all the references in <code>array2</code> (two
   * <code>null</code> references are considered equal for this test).
   *
   * @param array1  the first array (<code>null</code> permitted).
   * @param array2  the second array (<code>null</code> permitted).
   *
   * @return A boolean.
   */
  public static boolean equalReferencesInArrays(final Object[] array1,
                                                final Object[] array2) {
      if (array1 == null) {
          return (array2 == null);
      }
      if (array2 == null) {
          return false;
      }
      if (array1.length != array2.length) {
          return false;
      }
      for (int i = 0; i < array1.length; i++) {
          if (array1[i] == null) {
              if (array2[i] != null) {
                  return false;
              }
          }
          if (array2[i] == null) {
              if (array1[i] != null) {
                  return false;
              }
          }
          if (array1[i] != array2[i]) {
              return false;
          }
      }
      return true;
  }
}





Searching Arrays

public static int binarySearch(byte array[], byte key)
public static int binarySearch(char array[], char key)
public static int binarySearch(double array[], double key)
public static int binarySearch(float array[], float key)
public static int binarySearch(int array[], int key)
public static int binarySearch(long array[], long key)
public static int binarySearch(short array[], short key)



Sorted array: [length: 10]
-9, -7, -3, -2, 0, 2, 4, 5, 6, 8
Found 2 @ 5
Didn"t find 1 @ -6
With 1 added: [length: 11]
-9, -7, -3, -2, 0, 1, 2, 4, 5, 6, 8


Sort array utilities

/*
 * Copyright 2004, 2005, 2006 Odysseus Software GmbH
 *
 * Licensed 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.
 */ 
import java.util.Arrays;
import java.util.ruparator;
import java.util.Iterator;
import java.util.List;
/**
 * Utility class providing some useful static sort methods. The sort routines
 * all return index permutations p such that data[p[0]],..,data[p[data.length-1]]
 * is in sorted order. The data array itself is not modified.
 * To actually rearrange the array elements, the inverse of p can be used to
 * permute the array, such that data[0],..,data[data.length-1] is in sorted
 * order. Use <code>getIterator(p, data)</code> to iterate in sorted order.
 * A code example may show you what to do next:
 * <pre>
 * String[] colors = { "red", "green", "blue" };
 * int[] p = SortUtils.sort(colors, new StringComparator());
 * // --> (colors[p[0]], colors[p[1]], colors[p[2]]) == ("blue","green","red")
 * Iterator iter = SortUtils.getIterator(p, colors)
 * // --> (iter.next(), iter.next(), iter.next()) == ("blue","green","red")
 * SortUtils.permute(SortUtils.inverse(p), colors, true);
 * // --> (colors[0], colors[1], colors[2]) == ("blue","green","red")
 * </pre>
 * Stable sorts (preserving order of equal elements) are supported.
 * Sorting is done using quick-sort mith median of 3 (and insertion-sort
 * for small ranges).
 *
 * @author Christoph Beck
 */
public class SortUtils {
  /**
   * Helper class used to perform quicksort.
   *
   * @author Christoph Beck
   */
  static final class QuickSorter {
    private static final int INSERTIONSORT_THRESHOLD = 7;
    private final Object[] data;
    QuickSorter(Object[] data) {
      this.data = data;
    }
    private int compare(Comparator cmp, boolean stable, int i, int j) {
      int result = cmp.rupare(data[i], data[j]);
      if (result == 0 && stable && i != j) {
        result = i < j ? -1 : 1;
      }
      return result;
    }
    private int med3(Comparator cmp, int a, int b, int c) {
        return  (compare(cmp, false, a, b) < 0 ?
            (compare(cmp, false, b, c) < 0 ? b : compare(cmp, false, a, c) < 0 ? c : a) :
            (compare(cmp, false, b, c) > 0 ? b : compare(cmp, false, a, c) < 0 ? c : a));
    }
    private int pivot(int[] indices, Comparator cmp, int lo, int hi) {
      return med3(cmp, indices[lo + 1], indices[(lo + hi) / 2], indices[hi - 1]);
    }
    private void swap(int[] indices, int i, int j) {
      int tmp = indices[i];
      indices[i] = indices[j];
      indices[j] = tmp;
    }
    private void insertionSort(int[] indices, Comparator cmp, boolean stable, int lo, int hi) {
      for (int i = lo; i <= hi; i++) {
            for (int j = i; j > lo && compare(cmp, stable, indices[j-1], indices[j]) > 0; j--) {
              swap(indices, j-1, j);
            }
          }
    }
    private void quickSort(int[] indices, Comparator cmp, boolean stable, int lo0, int hi0) {
      int pivot = pivot(indices, cmp, lo0, hi0);
      int lo = lo0, hi = hi0;
      while (lo <= hi) {
        while (lo < hi0 && compare(cmp, stable, pivot, indices[lo]) > 0)
          ++lo;
        while (hi > lo0 && compare(cmp, stable, pivot, indices[hi]) < 0)
          --hi;
        if (lo <= hi) {
          swap(indices, lo++, hi--);
        }
      }
      sort(indices, cmp, stable, lo0, hi);
      sort(indices, cmp, stable, lo, hi0);
    }
    void sort(int[] indices, Comparator cmp, boolean stable, int lo, int hi) {
      if (hi - lo < INSERTIONSORT_THRESHOLD) {
        insertionSort(indices, cmp, stable, lo, hi);
      } else {
        quickSort(indices, cmp, stable, lo, hi);
      }
    }
    void sort(int[] indices, Comparator cmp, boolean stable) {
      sort(indices, cmp, stable, 0, indices.length - 1);
    }
    int[] sort(Comparator cmp, boolean stable) {
      int[] indices = identity(data.length);
      sort(indices, cmp, stable);
      return indices;
    }
  }
  /**
   * Create identity permutation, that is <code>{0, 1, ..., n}</code>
   */
  public static int[] identity(int n) {
    int[] indices = new int[n];
    for (int i = 0; i < n; i++)
      indices[i] = i;
    return indices;
  }
  /**
   * Create reverse permutation, that is <code>{n-1, .... 1, 0}</code>
   */
  public static int[] reverse(int n) {
    int[] indices = new int[n];
    for (int i = 0; i < n; i++)
      indices[i] = n - i - 1;
    return indices;
  }
  /**
   * Compute inverse permutation
   */
  public static int[] inverse(int[] p) {
    int[] pi = new int[p.length];
    for (int i = 0; i < pi.length; i++)
      pi[p[i]] = i;
    return pi;
  }
  /**
   * Rearrange the specified data according to the specified permutation.
   * That is, the array is rearranged, such that
   * <code>data_after[p[i]] == data_before[i]</code>.
   * @param data data to be permuted
   * @param p the permutation
   * @param clone if true, rearrange a clone instead of the original data;
   * @return the permuted array (which is the original reference if clone == false)
   */
  public static Object[] permute(int[] p, Object[] data, boolean clone) {
    Object[] permuted = null;
    if (clone) {
      permuted = (Object[])data.clone();
      for (int i = 0; i < data.length; i++)
        permuted[p[i]] = data[i];
    } else {
      // run thru cycles
      int i = 0;
      while (i < p.length) {
        if (p[i] < 0 || p[i] == i) // skip already handled and cycles of length 1
          ++i;
        else { // start a new cycle
          int j = p[i];
          Object save = data[i];
          while (p[j] >= 0) {
            Object tmp = data[j];
            data[j] = save;
            save = tmp;
            i = j;
            j = p[j];
            p[i] = -1;
          }
        }
      }
      permuted = data;
    }
    return permuted;
  }
  /**
   * Answer iterator, which iterates over specified data array according
   * to the specified permutation, that is
   * <code>data[p[0]],..,data[p[data.length-1]]</code>
   */
  public static Iterator getIterator(final int[] p, final Object[] data) {
    return new Iterator() {
      int pos = 0;
      public boolean hasNext() {
        return pos < data.length;
      }
      public Object next() {
        return data[p[pos++]];
      }
      public void remove() {
        throw new UnsupportedOperationException("Cannot remove from immutable iterator!");
      }
    };
  }
  /**
   * Answer iterator, which iterates over specified data list according
   * to the specified permutation, that is
   * <code>data.get(p[0]),..,data.get(p[data.length-1])</code>
   */
  public static Iterator getIterator(final int[] p, final List data) {
    return new Iterator() {
      int pos = 0;
      public boolean hasNext() {
        return pos < data.size();
      }
      public Object next() {
        return data.get(p[pos++]);
      }
      public void remove() {
        throw new UnsupportedOperationException("Cannot remove from immutable iterator!");
      }
    };
  }
//  /**
//   * An improved heap builder.
//   * Assumes children of i at 2i and 2i+1 (requires i>0)
//   */
//  private static void cheap(int[] indices, Object[] data, Comparator comparator, int i, int j) {
//    int k = (i << 1);
//    if (k > j)
//      return;
//    while (k < j) {
//      if (comparator.rupare(data[indices[k]], data[indices[k + 1]]) < 0)
//        k++;
//      k <<= 1;
//    }
//    if (k > j)
//      k >>= 1;
//    while (comparator.rupare(data[indices[k]], data[indices[i]]) < 0)
//      k >>= 1;
//    int t1 = indices[i], t2;
//    while (k > i) {
//      t2 = indices[k];
//      indices[k] = t1;
//      k >>= 1;
//      t1 = indices[k];
//      indices[k] = t2;
//      k >>= 1;
//    }
//    if (k == i)
//      indices[i] = t1;
//  }
//
//  /**
//   * Do a (clever) heapsort.
//   *
//   * @param comparator Comparator object specifying the sort order.
//   */
//  public static void cheapSort(int[] indices, Object[] data, Comparator comparator) {
//    int n = data.length;
//    if (n > 1) {
//      int i;
//      int m = 0;
//      for (i = 1; i < n; i++)
//        if (comparator.rupare(data[indices[i]], data[indices[m]]) < 0)
//          m = i;
//      if (m > 0) {
//        int t = indices[0];
//        indices[0] = indices[m];
//        indices[m] = t;
//      }
//      if (n > 2) {
//        for (i = n / 2; i > 1; i--)
//          cheap(indices, data, comparator, i, n - 1);
//        for (i = n - 1; i > 1; i--) {
//          cheap(indices, data, comparator, 1, i);
//          int t = indices[1];
//          indices[1] = indices[i];
//          indices[i] = t;
//        }
//      }
//    }
//  }
//
//  /**
//   * Perform a cheapsort
//   */
//  public static int[] cheapSort(Object[] data, Comparator comparator) {
//    int[] indices = identity(data.length);
//    cheapSort(indices, data, comparator);
//    return indices;
//  }
  /**
   * Do a sort on indices.
   * @param data data to be sorted
   * @param comparator comparator to use
   * @param stable do a stable sort iff true
   * @param indices into data (any permutation of 0,..data.length-1).
   */
  public static void sort(int[] indices, Object[] data, Comparator comparator, boolean stable) {
    new QuickSorter(data).sort(indices, comparator, stable);
  }
  /**
   * Do a sort on indices.
   * @param data data to be sorted
   * @param comparator comparator to use
   * @param stable do a stable sort iff true
   * @return permutation p such that data[p[0]],..,data[p[data.length-1]] is in sorted order
   */
  public static int[] sort(Object[] data, Comparator comparator, boolean stable) {
    int[] indices = identity(data.length);
    sort(indices, data, comparator, stable);
    return indices;
  }
  /**
   * Do an unstable sort.
   * @param data data to be sorted
   * @param comparator comparator to use
   * @return permutation p such that data[p[0]],..,data[p[data.length-1]] is in sorted order
   */
  public static int[] sort(Object[] data, Comparator comparator) {
    return sort(data, comparator, false);
  }
  /**
   * Do an unstable sort.
   * @param data data to be sorted
   * @param indices into data (permutation of 0,..data.length-1).
   */
  public static void sort(int[] indices, Object[] data, Comparator comparator) {
    sort(indices, data, comparator, false);
  }
  /**
   * Test method
   */
  public static void main(String[] args) {
    Comparator cmp = new Comparator() {
      public int compare(Object o1, Object o2) {
        return ((Comparable)o1).rupareTo(o2);
      }
    };
    int n = 1000000;
    if (args.length == 1)
      try {
        n = Integer.parseInt(args[0]);
      } catch (Exception e) {
        System.err.println(e);
      }
    System.out.println("Generating " + n + " random integers...");
    java.util.Random random = new java.util.Random();
    Integer[] data = new Integer[n];
    for (int i = 0; i < n; i++) {
      data[i] = new Integer(Math.abs(random.nextInt()));
//      data[i] = new Integer(i);
    }
    int[] indices;
    long time;
    System.out.print("Arrays.sort...");
    time = System.currentTimeMillis();
    Integer[] clone = (Integer[])data.clone();
    Arrays.sort(clone, cmp);
    System.out.println(System.currentTimeMillis()-time  + "ms");
    System.out.print("quicksort...");
    indices = identity(n);
    time = System.currentTimeMillis();
    sort(indices, data, cmp, false);
    System.out.println(System.currentTimeMillis()-time  + "ms");
    for (int i = 1; i < n; i++)
      if (cmp.rupare(data[indices[i-1]], data[indices[i]]) > 0)
        System.err.println("proplem: quickSort at " + i);
    System.out.print("quicksort stable...");
//    indices = identity(n);
    time = System.currentTimeMillis();
    sort(indices, data, cmp, true);
    System.out.println(System.currentTimeMillis()-time + "ms");
    for (int i = 1; i < n; i++) {
      int res = cmp.rupare(data[indices[i-1]], data[indices[i]]);
      if (res > 0)
        System.err.println("proplem: quickSort stable at " + i);
      if (res == 0 && indices[i-1] > indices[i])
        System.err.println("proplem: quickSort stable (not stable) at " + i);
    }
//    System.out.print("cheapsort...");
//    time = System.currentTimeMillis();
//    indices = cheapSort(data, cmp);
//    System.out.println(System.currentTimeMillis()-time + "ms");
//    for (int i = 1; i < n; i++)
//      if (cmp.rupare(data[indices[i-1]], data[indices[i]]) > 0)
//        System.err.println("proplem: cheapSort at " + i);
  
    System.out.print("permutate copy...");
    time = System.currentTimeMillis();
    Object[] data_copy = permute(inverse(indices), data, true);
    System.out.println(System.currentTimeMillis()-time + "ms");
    for (int i = 1; i < n; i++)
      if (cmp.rupare(data_copy[i-1], data_copy[i]) > 0)
        System.err.println("proplem: permute copy at " + i);
    System.out.print("permutate original...");
    time = System.currentTimeMillis();
    permute(inverse(indices), data, false);
    System.out.println(System.currentTimeMillis()-time + "ms");
    for (int i = 1; i < n; i++)
      if (cmp.rupare(data[i-1], data[i]) > 0)
        System.err.println("proplem: permute original at " + i);
  }
}





Sorting Arrays

public static void sort(byte array[])
public static void sort(byte array[], int fromIndex, int toIndex)
public static void sort(char array[])
public static void sort(char array[], int fromIndex, int toIndex)
public static void sort(double array[])
public static void sort(double array[], int fromIndex, int toIndex)
public static void sort(float array[])
public static void sort(float array[], int fromIndex, int toIndex)
public static void sort(int array[])
public static void sort(int array[], int fromIndex, int toIndex)
public static void sort(long array[])
public static void sort(long array[], int fromIndex, int toIndex)
public static void sort(short array[])
public static void sort(short array[], int fromIndex, int toIndex)



-3
-2
2
5
6


Sorting arrays of objects

public static void sort(Object array[])
public static void sort(Object array[], int fromIndex, int toIndex)
public static void sort(Object array[], Comparator c)
public static void sort(Object array[], int fromIndex, int toIndex, Comparator c)



A
B
C


Sorting a subset of array elements

import java.util.Arrays;
public class MainClass {
  public static void main(String[] a) {
    int array[] = { 2, 5, -2, 6, -3, 8, 0, -7, -9, 4 };
    Arrays.sort(array, 3, 7);
    for (int i : array) {
      System.out.println(i);
    }
  }
}



2
5
-2
-3
0
6
8
-7
-9
4


Test the equality of two object arrays

import java.lang.reflect.Array;
/*
 * JBoss, Home of Professional Open Source
 * Copyright 2005, JBoss Inc., and individual contributors as indicated
 * by the @authors tag. See the copyright.txt in the distribution for a
 * full listing of individual contributors.
 *
 * This is free software; you can redistribute it and/or modify it
 * under the terms of the GNU Lesser General Public License as
 * published by the Free Software Foundation; either version 2.1 of
 * the License, or (at your option) any later version.
 *
 * This software is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this software; if not, write to the Free
 * Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA
 * 02110-1301 USA, or see the FSF site: http://www.fsf.org.
 */
public class Main {

  /**
   * Test the equality of two object arrays.
   *
   * @param a       The first array.
   * @param b       The second array.
   * @param deep    True to traverse elements which are arrays.
   * @return        True if arrays are equal.
   */
  public static boolean equals(final Object[] a, final Object[] b,
                               final boolean deep)
  {
     if (a == b) return true;
     if (a == null || b == null) return false;
     if (a.length != b.length) return false;
     for (int i=0; i<a.length; i++) {
        Object x = a[i];
        Object y = b[i];
        if (x != y) return false;
        if (x == null || y == null) return false;
        if (deep) {
           if (x instanceof Object[] && y instanceof Object[]) {
              if (! equals((Object[])x, (Object[])y, true)) return false;
           }
           else {
              return false;
           }
        }
        if (! x.equals(y)) return false;
     }
     return true;
  }
  /**
   * Test the equality of two object arrays.
   *
   * @param a    The first array.
   * @param b    The second array.
   * @return     True if arrays are equal.
   */
  public static boolean equals(final Object[] a, final Object[] b) {
     return equals(a, b, true);
  }
}