generic_sort.java

java的小波分析程序

package sort;

/**
  <p>
  A generic sort class for arrays whose elements are derived
  from Object.  Sadly, this does not include types like integer
  and double.
  </p>

  <p>
  This is an abstract class.  The class that extends this class must
  define the <i>compare</i> function.  The <i>compare</i> function returns an
  integer value that is less than, equal or greater than zero
  depending on the result of the comparision (the function is modeled
  after UNIX strcmp).
  </p>

  <p>
  This class is based on the Java quicksort algorithm by
  James Gosling at at Sun Microsystems (see below).
  </p>
  <blockquote>
  <p>
  @(#)QSortAlgorithm.java	1.3   29 Feb 1996 James Gosling
  </p>
  <p>
  Copyright (c) 1994-1996 Sun Microsystems, Inc. All Rights Reserved.
  </p>
  <p>
  Permission to use, copy, modify, and distribute this software
  and its documentation for NON-COMMERCIAL or COMMERCIAL purposes and
  without fee is hereby granted. 
  </p>
  <p>
  Please refer to the file http://www.javasoft.com/copy_trademarks.html
  for further important copyright and trademark information and to
  http://www.javasoft.com/licensing.html for further important
  licensing information for the Java (tm) Technology.
  </p>
  </blockquote>
  
  */

public abstract class generic_sort
{

  /**
    Exchange element a[i] and a[j]
   */
  private void swap(Object a[], int i, int j)
  {
    Object t;

    t = a[i];
    a[i] = a[j];
    a[j] = t;
  } // swap


  /** This is a generic version of C.A.R Hoare's Quick Sort 
   * algorithm.  This will handle arrays that are already
   * sorted, and arrays with duplicate keys.<BR>
   *
   * If you think of a one dimensional array as going from
   * the lowest index on the left to the highest index on the right
   * then the parameters to this function are lowest index or
   * left and highest index or right.  The first time you call
   * this function it will be with the parameters 0, a.length - 1.
   *
   * @param a       an integer array
   * @param lo0     left boundary of array partition
   * @param hi0     right boundary of array partition
   */
  private void QuickSort(Object a[], int lo0, int hi0)
  {
    int lo = lo0;
    int hi = hi0;
    Object mid;
    
    if ( hi0 > lo0) {
      /* Arbitrarily establishing partition element as the midpoint of
       * the array.
       */
      mid = a[ ( lo0 + hi0 ) / 2 ];
      
      // loop through the array until indices cross
      while( lo <= hi )	{
	/* find the first element that is greater than or equal to 
	 * the partition element starting from the left Index.
	 */
	while( ( lo < hi0 ) && ( compare(a[lo], mid) < 0 ) )
	  ++lo;
	
	/* find an element that is smaller than or equal to 
	 * the partition element starting from the right Index.
	 */
	while( ( hi > lo0 ) && ( compare(a[hi], mid) > 0) )
	  --hi;
	
	// if the indexes have not crossed, swap
	if( lo <= hi ) {
	  swap(a, lo, hi);
	  
	  ++lo;
	  --hi;
	}
      } // while
      
      /* If the right index has not reached the left side of array
       * must now sort the left partition.
       */
      if( lo0 < hi )
	QuickSort( a, lo0, hi );
      
      /* If the left index has not reached the right side of array
       * must now sort the right partition.
       */
      if( lo < hi0 )
	QuickSort( a, lo, hi0 );
      
    }
  }  // QuickSort


  public void sort(Object a[])
  {
    QuickSort(a, 0, a.length - 1);
  } // sort


  /**
    <p>
    This is an abstract function that should be defined
    by the class derived from generic_sort.  This function
    is passed two objects, <i>a</i> and <i>b</i>.  It 
    compares them and should return the following values:
    </p>
<pre>
    If (a == b) return 0
    if (a < b) return -1
    if (a > b) return 1
</pre>
   */
  abstract protected int compare( Object a, Object b);

} // generic_sort