/** * Copyright (c) 2011, Regents of the University of California * All rights reserved. * <p/> * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * <p/> * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * <p/> * 2. 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. * <p/> * 3. Neither the name of the University of California, Berkeley nor * the names of its contributors may be used to endorse or promote * products derived from this software without specific prior written * permission. * <p/> * 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 * COPYRIGHT HOLDER 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. */ package tests; import janala.Main; /** * @author Jacob Burnim <jburnim@cs.berkeley.edu> */ public class InsertionSort { public static void sort(int[] a) { final int N = a.length; for (int i = 1; i < N; i++) { // N branches int j = i - 1; int x = a[i]; // First branch (j >= 0): 2 + 3 + ... + N = N(N+1)/2 - 1 branches // Second branch (a[j] > x): 1 + 2 + ... + N-1 = (N-1)N/2 branches while ((j >= 0) && (a[j] > x)) { a[j + 1] = a[j]; j--; } a[j + 1] = x; } } public static void main(String[] args) { final int N = 4; int a[] = new int[N]; for (int i = 0; i < N; i++) { a[i] = Main.readInt(0); Main.MakeSymbolic(a[i]); } // We only measure the complexity of the sort itself. That // is, we count branches only from this point forward in the // execution. sort(a); for (int i = 0; i < N; i++) { System.out.print(a[i] + " "); } System.out.println(); for (int i = 0; i < N-1; i++) { if (a[i] > a[i+1]) throw new RuntimeException("Sorting bug"); } } }