package edu.princeton.cs.algs4.ch21;
import edu.princeton.cs.introcs.*;
/*************************************************************************
* Compilation: javac Shell.java
* Execution: java Shell < input.txt
* Dependencies: StdOut.java StdIn.java
* Data files: http://algs4.cs.princeton.edu/21sort/tiny.txt
* http://algs4.cs.princeton.edu/21sort/words3.txt
*
* Sorts a sequence of strings from standard input using shellsort.
*
* Uses increment sequence proposed by Sedgewick and Incerpi.
* The nth element of the sequence is the smallest integer >= 2.5^n
* that is relatively prime to all previous terms in the sequence.
* For example, incs[4] is 41 because 2.5^4 = 39.0625 and 41 is
* the next integer that is relatively prime to 3, 7, and 16.
*
* % more tiny.txt
* S O R T E X A M P L E
*
* % java Shell < tiny.txt
* A E E L M O P R S T X [ one string per line ]
*
* % more words3.txt
* bed bug dad yes zoo ... all bad yet
*
* % java Shell < words3.txt
* all bad bed bug dad ... yes yet zoo [ one string per line ]
*
*
*************************************************************************/
/**
* The <tt>Shell</tt> class provides static methods for sorting an
* array using Shellsort with Knuth's increment sequence (1, 4, 13, 40, ...).
* <p>
* For additional documentation, see <a href="http://algs4.cs.princeton.edu/21elementary">Section 2.1</a> of
* <i>Algorithms, 4th Edition</i> by Robert Sedgewick and Kevin Wayne.
*
* @author Robert Sedgewick
* @author Kevin Wayne
*/
public class Shell {
// This class should not be instantiated.
private Shell() { }
/**
* Rearranges the array in ascending order, using the natural order.
* @param a the array to be sorted
*/
public static void sort(Comparable[] a) {
int N = a.length;
// 3x+1 increment sequence: 1, 4, 13, 40, 121, 364, 1093, ...
int h = 1;
while (h < N/3) h = 3*h + 1;
while (h >= 1) {
// h-sort the array
for (int i = h; i < N; i++) {
//将a[i]插入到a[i-h],a[i-2h],a[i-3h],...之中
for (int j = i; j >= h && less(a[j], a[j-h]); j -= h) {
exch(a, j, j-h);
}
}
assert isHsorted(a, h);
h /= 3;
}
assert isSorted(a);
}
/***********************************************************************
* Helper sorting functions
***********************************************************************/
// is v < w ?
private static boolean less(Comparable v, Comparable w) {
return (v.compareTo(w) < 0);
}
// exchange a[i] and a[j]
private static void exch(Object[] a, int i, int j) {
Object swap = a[i];
a[i] = a[j];
a[j] = swap;
}
/***********************************************************************
* Check if array is sorted - useful for debugging
***********************************************************************/
private static boolean isSorted(Comparable[] a) {
for (int i = 1; i < a.length; i++)
if (less(a[i], a[i-1])) return false;
return true;
}
// is the array h-sorted?
private static boolean isHsorted(Comparable[] a, int h) {
for (int i = h; i < a.length; i++)
if (less(a[i], a[i-h])) return false;
return true;
}
// print array to standard output
private static void show(Comparable[] a) {
for (int i = 0; i < a.length; i++) {
StdOut.println(a[i]);
}
}
/**
* Reads in a sequence of strings from standard input; Shellsorts them;
* and prints them to standard output in ascending order.
*/
public static void main(String[] args) {
String[] a = StdIn.readAllStrings();
Shell.sort(a);
show(a);
}
}
/*************************************************************************
* Copyright 2002-2012, Robert Sedgewick and Kevin Wayne.
*
* This file is part of algs4-package.jar, which accompanies the textbook
*
* Algorithms, 4th edition by Robert Sedgewick and Kevin Wayne,
* Addison-Wesley Professional, 2011, ISBN 0-321-57351-X.
* http://algs4.cs.princeton.edu
*
*
* algs4-package.jar is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* algs4-package.jar 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 General Public License for more details.
* You should have received a copy of the GNU General Public License
* along with algs4-package.jar. If not, see http://www.gnu.org/licenses.
*************************************************************************/