/******************************************************************************
 *  Compilation:  javac InsertionX.java
 *  Execution:    java InsertionX < input.txt
 *  Dependencies: StdOut.java StdIn.java
 *  Data files:   https://algs4.cs.princeton.edu/21elementary/tiny.txt
 *                https://algs4.cs.princeton.edu/21elementary/words3.txt
 *
 *  Sorts a sequence of strings from standard input using an optimized
 *  version of insertion sort that uses half exchanges instead of
 *  full exchanges to reduce data movement..
 *
 *  % more tiny.txt
 *  S O R T E X A M P L E
 *
 *  % java InsertionX < 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 InsertionX < words3.txt
 *  all bad bed bug dad ... yes yet zoo   [ one string per line ]
 *
 ******************************************************************************/

package edu.princeton.cs.algs4;
/**
 *  The {@code InsertionX} class provides static methods for sorting
 *  an array using an optimized version of insertion sort (with half exchanges
 *  and a sentinel).
 *  <p>
 *  In the worst case, this implementation makes ~ 1/2 <em>n</em><sup>2</sup>
 *  compares to sort an array of length <em>n</em>.
 *  So, it is not suitable for sorting large arrays
 *  (unless the number of inversions is small).
 *  <p>
 *  This sorting algorithm is stable.
 *  It uses &Theta;(1) extra memory (not including the input array).
 *  <p>
 *  For additional documentation, see
 *  <a href="https://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 InsertionX {

    // This class should not be instantiated.
    private InsertionX() { }

    /**
     * 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;

        // put smallest element in position to serve as sentinel
        int exchanges = 0;
        for (int i = n-1; i > 0; i--) {
            if (less(a[i], a[i-1])) {
                exch(a, i, i-1);
                exchanges++;
            }
        }
        if (exchanges == 0) return;


        // insertion sort with half-exchanges
        for (int i = 2; i < n; i++) {
            Comparable v = a[i];
            int j = i;
            while (less(v, a[j-1])) {
                a[j] = a[j-1];
                j--;
            }
            a[j] = v;
        }

        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;
    }

    // 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; insertion sorts them;
     * and prints them to standard output in ascending order.
     *
     * @param args the command-line arguments
     */
    public static void main(String[] args) {
        String[] a = StdIn.readAllStrings();
        InsertionX.sort(a);
        show(a);
    }

}

/******************************************************************************
 *  Copyright 2002-2022, Robert Sedgewick and Kevin Wayne.
 *
 *  This file is part of algs4.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.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.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.jar.  If not, see http://www.gnu.org/licenses.
 ******************************************************************************/