/**************************************************************************/
/*                                                                        */
/*  The Why platform for program certification                            */
/*                                                                        */
/*  Copyright (C) 2002-2014                                               */
/*                                                                        */
/*    Jean-Christophe FILLIATRE, CNRS & Univ. Paris-sud                   */
/*    Claude MARCHE, INRIA & Univ. Paris-sud                              */
/*    Yannick MOY, Univ. Paris-sud                                        */
/*    Romain BARDOU, Univ. Paris-sud                                      */
/*                                                                        */
/*  Secondary contributors:                                               */
/*                                                                        */
/*    Thierry HUBERT, Univ. Paris-sud  (former Caduceus front-end)        */
/*    Nicolas ROUSSET, Univ. Paris-sud (on Jessie & Krakatoa)             */
/*    Ali AYAD, CNRS & CEA Saclay      (floating-point support)           */
/*    Sylvie BOLDO, INRIA              (floating-point support)           */
/*    Jean-Francois COUCHOT, INRIA     (sort encodings, hyps pruning)     */
/*    Mehdi DOGGUY, Univ. Paris-sud    (Why GUI)                          */
/*                                                                        */
/*  This software is free software; you can redistribute it and/or        */
/*  modify it under the terms of the GNU Lesser General Public            */
/*  License version 2.1, with the special exception on linking            */
/*  described in file LICENSE.                                            */
/*                                                                        */
/*  This software 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.                  */
/*                                                                        */
/**************************************************************************/

/* File Muller.java */

//@+ CheckArithOverflow = no
//@+ SeparationPolicy = Regions

//@ import tests.spec.NumOfPos;

/*@ lemma num_of_pos_strictly_increasing{L} :
  @   \forall integer i j k l, int t[];
  @       j < k && k <= l && t[k] > 0 ==> 
  @       num_of_pos(i,j,t) < num_of_pos(i,l,t);
  @*/

public class MullerTheory {

    /*@ requires t!=null;
      @*/
    public static int[] m(int t[]) {
	int count = 0;
	
	/*@ loop_invariant
	  @    0 <= i <= t.length && 
	  @    0 <= count <= i && 
	  @    count == num_of_pos(0,i-1,t) ; 
	  @ loop_variant t.length - i;
	  @*/
	for (int i=0 ; i < t.length; i++) if (t[i] > 0) count++;
	
	int u[] = new int[count];
	count = 0;
	
	/*@ loop_invariant
	  @    0 <= i <= t.length && 
	  @    0 <= count <= i && 
	  @    count == num_of_pos(0,i-1,t);
	  @ loop_variant t.length - i;
	  @*/
	for (int i=0 ; i < t.length; i++) {
	    if (t[i] > 0) u[count++] = t[i];
	}
	return u;
    }
}

/* End of file Muller.java */
