atmostOne.cpp

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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
 *  Main authors:
 *     Guido Tack <tack@gecode.org>
 *
 *  Copyright:
 *     Guido Tack, 2004
 *
 *  Last modified:
 *     $Date: 2011-08-08 18:04:53 +0200 (Mon, 08 Aug 2011) $ by $Author: schulte $
 *     $Revision: 12253 $
 *
 *  This file is part of Gecode, the generic constraint
 *  development environment:
 *     http://www.gecode.org
 *
 *  Permission is hereby granted, free of charge, to any person obtaining
 *  a copy of this software and associated documentation files (the
 *  "Software"), to deal in the Software without restriction, including
 *  without limitation the rights to use, copy, modify, merge, publish,
 *  distribute, sublicense, and/or sell copies of the Software, and to
 *  permit persons to whom the Software is furnished to do so, subject to
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 *
 *  The above copyright notice and this permission notice shall be
 *  included in all copies or substantial portions of the Software.
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#include <gecode/set/distinct.hh>

/*
 * These propagators implement the scheme discussed in
 *
 * Andrew Sadler and Carment Gervet: Global Reasoning on Sets.
 * FORMUL'01 workshop in conjunction with CP 2001.
 *
 * Todo: make the propagators incremental.
 */

namespace Gecode { namespace Set { namespace Distinct {

  /*
   * "AtMostOneIntersection" propagator
   *
   */

  Actor*
  AtmostOne::copy(Space& home, bool share) {
    return new (home) AtmostOne(home,share,*this);
  }

  ExecStatus
  AtmostOne::propagate(Space& home, const ModEventDelta&) {
    Region r(home);
    LubRanges<SetView>* lubs = r.alloc<LubRanges<SetView> >(x.size());
    for (int i = x.size(); i--; ) {
      lubs[i].init(x[i]);
    }
    Iter::Ranges::NaryUnion bigT(r, lubs, x.size());

    Iter::Ranges::ToValues<Iter::Ranges::NaryUnion>
      as(bigT);

    while (as()) {
      int a = as.val(); ++as;

      // cardSa is the number of sets that contain a in the glb
      int cardSa = 0;
      for (int i=x.size(); i--;)
        if (x[i].contains(a))
          cardSa++;

      // bigTa is the union of all lubs that contain a
      GLBndSet bigTa(home);
      for (int i=x.size(); i--;) {
        if (!x[i].notContains(a)) {
          LubRanges<SetView> xilub(x[i]);
          bigTa.includeI(home, xilub);
        }
      }

      // maxa is the maximum number of sets that can contain a
      int maxa = static_cast<int>((bigTa.size() - 1) / (c - 1));
      bigTa.dispose(home);

      // Conditional Rule A:
      // If more sets already contain a than allowed, fail.
      if (maxa < cardSa)
        return ES_FAILED;

      if (maxa == cardSa) {
        // Conditional Rule B:
        // All a used up. All other sets (those that don't have a in their
        // glb already) cannot contain a.
        for (int i=x.size(); i--;) {
          if (!x[i].contains(a)) {
            GECODE_ME_CHECK(x[i].exclude(home, a));
          }
        }
      } else {
        LubRanges<SetView>* lubs2 = r.alloc<LubRanges<SetView> >(x.size());
        for (int i = x.size(); i--; ) {
          lubs2[i].init(x[i]);
        }
        Iter::Ranges::NaryUnion bigT2(r, lubs2, x.size());

        GlbRanges<SetView>* glbs = r.alloc<GlbRanges<SetView> >(cardSa);
        int count = 0;
        for (int i=x.size(); i--; ) {
          if (x[i].contains(a)) {
            glbs[count].init(x[i]);
            count++;
          }
        }
        Iter::Ranges::NaryUnion glbsa(r, glbs, cardSa);
        Iter::Ranges::Diff<Iter::Ranges::NaryUnion,
          Iter::Ranges::NaryUnion> deltaA(bigT2, glbsa);
        Iter::Ranges::Cache deltaAC(r,deltaA);
        // deltaAC contains all elements that are not yet known to be
        // in a set together with a.
        // Formally: \cup_i lub(x_i) - \cup_i {glb(s_i) | a\in glb(s_i)}


        if (Iter::Ranges::size(deltaAC) == c - 1) {
          // Conditional Rule C:
          // If deltaA has exactly c-1 elements, all sets that are not yet
          // known to contain a cannot contain a if it is impossible that
          // they contain all of deltaA. Or the other way around:
          // If a is added to the glb of a set s, deltaA must be a subset of
          // s, because otherwise s would share at least one more element
          // with another set that has a in its lower bound.
          // Weird, eh?
          for (int i=x.size(); i--; ) {
            if (!x[i].contains(a) && !x[i].notContains(a)) {
              deltaAC.reset();
              LubRanges<SetView> xilub(x[i]);
              if (!Iter::Ranges::subset(deltaAC, xilub)) {
                GECODE_ME_CHECK(x[i].exclude(home, a));
              }
            }
          }
        }

      }

    }

    return ES_NOFIX;
  }

}}}

// STATISTICS: set-prop