001/******************************************************************************
002 *  Compilation:  javac Quick.java
003 *  Execution:    java Quick < input.txt
004 *  Dependencies: System.out.java StdIn.java
005 *  Data files:   http://algs4.cs.princeton.edu/23quicksort/tiny.txt
006 *                http://algs4.cs.princeton.edu/23quicksort/words3.txt
007 *
008 *  Sorts a sequence of strings from standard input using quicksort.
009 *
010 *  % more tiny.txt
011 *  S O R T E X A M P L E
012 *
013 *  % java Quick < tiny.txt
014 *  A E E L M O P R S T X                 [ one string per line ]
015 *
016 *  % more words3.txt
017 *  bed bug dad yes zoo ... all bad yet
018 *
019 *  % java Quick < words3.txt
020 *  all bad bed bug dad ... yes yet zoo    [ one string per line ]
021 *
022 *
023 *  Remark: For a type-safe version that uses static generics, see
024 *
025 *    http://algs4.cs.princeton.edu/23quicksort/QuickPedantic.java
026 *
027 ******************************************************************************/
028package ca.bc.webarts.widgets;
029
030/**
031 *  The <tt>Quick</tt> class provides static methods for sorting an
032 *  array and selecting the ith smallest element in an array using quicksort.
033 *  <p>
034 *  For additional documentation, see <a href="http://algs4.cs.princeton.edu/21elementary">Section 2.1</a> of
035 *  <i>Algorithms, 4th Edition</i> by Robert Sedgewick and Kevin Wayne.
036 *
037 *  @author Robert Sedgewick
038 *  @author Kevin Wayne
039 */
040public class Quick
041{
042
043  // This class should not be instantiated.
044  private Quick()
045  { }
046
047
048  /**
049   * Rearranges the array in ascending order, using the natural order.
050   * @param a the array to be sorted
051   */
052  public static void sort( Comparable[] a )
053  {
054    //StdRandom.shuffle( a );
055    sort( a, 0, a.length - 1 );
056    assert isSorted( a );
057  }
058
059
060  // quicksort the subarray from a[lo] to a[hi]
061  private static void sort( Comparable[] a, int lo, int hi )
062  {
063    if ( hi <= lo )
064    {
065      return;
066    }
067    int j = partition( a, lo, hi );
068    sort( a, lo, j - 1 );
069    sort( a, j + 1, hi );
070    assert isSorted( a, lo, hi );
071  }
072
073
074  // partition the subarray a[lo..hi] so that a[lo..j-1] <= a[j] <= a[j+1..hi]
075  // and return the index j.
076  private static int partition( Comparable[] a, int lo, int hi )
077  {
078    int i = lo;
079    int j = hi + 1;
080    Comparable v = a[lo];
081    while ( true )
082    {
083
084      // find item on lo to swap
085      while ( less( a[ ++i], v ) )
086      {
087        if ( i == hi )
088        {
089          break;
090        }
091
092        // find item on hi to swap
093      }
094      while ( less( v, a[ --j] ) )
095      {
096        if ( j == lo )
097        {
098          break;
099        }        // redundant since a[lo] acts as sentinel
100
101        // check if pointers cross
102      }
103      if ( i >= j )
104      {
105        break;
106      }
107
108      exch( a, i, j );
109    }
110
111    // put partitioning item v at a[j]
112    exch( a, lo, j );
113
114    // now, a[lo .. j-1] <= a[j] <= a[j+1 .. hi]
115    return j;
116  }
117
118
119  /**
120   * Rearranges the array so that a[k] contains the kth smallest key;
121   * a[0] through a[k-1] are less than (or equal to) a[k]; and
122   * a[k+1] through a[N-1] are greater than (or equal to) a[k].
123   * @param a the array
124   * @param k find the kth smallest
125   */
126  public static Comparable select( Comparable[] a, int k )
127  {
128    if ( k < 0 || k >= a.length )
129    {
130      throw new IndexOutOfBoundsException( "Selected element out of bounds" );
131    }
132    //StdRandom.shuffle( a );
133    int lo = 0, hi = a.length - 1;
134    while ( hi > lo )
135    {
136      int i = partition( a, lo, hi );
137      if ( i > k )
138      {
139        hi = i - 1;
140      }
141      else if ( i < k )
142      {
143        lo = i + 1;
144      }
145      else
146      {
147        return a[i];
148      }
149    }
150    return a[lo];
151  }
152
153
154  /***************************************************************************
155   *  Helper sorting functions.
156   ***************************************************************************/
157
158  // is v < w ?
159  private static boolean less( Comparable v, Comparable w )
160  {
161    return v.compareTo( w ) < 0;
162  }
163
164
165  // exchange a[i] and a[j]
166  private static void exch( Object[] a, int i, int j )
167  {
168    Object swap = a[i];
169    a[i] = a[j];
170    a[j] = swap;
171  }
172
173
174  /***************************************************************************
175   *  Check if array is sorted - useful for debugging.
176   ***************************************************************************/
177  private static boolean isSorted( Comparable[] a )
178  {
179    return isSorted( a, 0, a.length - 1 );
180  }
181
182
183  private static boolean isSorted( Comparable[] a, int lo, int hi )
184  {
185    for ( int i = lo + 1; i <= hi; i++ )
186    {
187      if ( less( a[i], a[i - 1] ) )
188      {
189        return false;
190      }
191    }
192    return true;
193  }
194
195
196  // print array to standard output
197  private static void show( Comparable[] a )
198  {
199    for ( int i = 0; i < a.length; i++ )
200    {
201      System.out.println( a[i] );
202    }
203  }
204
205
206  /**
207   * Reads in a sequence of strings from standard input; quicksorts them;
208   * and prints them to standard output in ascending order.
209   * Shuffles the array and then prints the strings again to
210   * standard output, but this time, using the select method.
211   */
212  public static void main( String[] args )
213  {
214    String[] a = args;// StdIn.readAllStrings();
215    Quick.sort( a );
216    show( a );
217
218    // shuffle
219   // StdRandom.shuffle( a );
220
221    // display results again using select
222    System.out.println();
223    for ( int i = 0; i < a.length; i++ )
224    {
225      String ith = ( String ) Quick.select( a, i );
226      System.out.println( ith );
227    }
228  }
229
230}
231