set.cpp

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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
 *  Main authors:
 *     Guido Tack <tack@gecode.dev>
 *     Christian Schulte <schulte@gecode.dev>
 *     Mikael Zayenz Lagerkvist <lagerkvist@gecode.dev>
 *
 *  Copyright:
 *     Guido Tack, 2005
 *     Christian Schulte, 2005
 *     Mikael Zayenz Lagerkvist, 2005
 *
 *  This file is part of Gecode, the generic constraint
 *  development environment:
 *     http://www.gecode.dev
 *
 *  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
 *  the following conditions:
 *
 *  The above copyright notice and this permission notice shall be
 *  included in all copies or substantial portions of the Software.
 *
 *  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
 *  EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 *  MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
 *  NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
 *  LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
 *  OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
 *  WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 *
 */
 
#include "test/set.hh"
 
#include <algorithm>
 
namespace Test { namespace Set {
 
  CountableSet::CountableSet(const Gecode::IntSet& d0) : d(d0), cur(0) {
    Gecode::IntSetRanges isr(d);
    lubmax =
      static_cast<unsigned int>(pow(static_cast<double>(2.0),
        static_cast<int>(Gecode::Iter::Ranges::size(isr))));
  }
 
  void CountableSet::operator++(void) {
    cur++;
  }
 
  void CountableSet::init(const Gecode::IntSet& d0) {
    d = d0;
    cur = 0;
    Gecode::IntSetRanges isr(d);
    lubmax =
      static_cast<unsigned int>(pow(static_cast<double>(2.0),
        static_cast<int>(Gecode::Iter::Ranges::size(isr))));
  }
 
  int CountableSet::val(void) const {
    return cur;
  }
 
  SetAssignment::SetAssignment(int n0, const Gecode::IntSet& d0, int _withInt)
    : n(n0), dsv(new CountableSet[n]), ir(_withInt, d0), done(false), lub(d0),
      withInt(_withInt) {
    for (int i=n; i--; )
      dsv[i].init(lub);
  }
 
  void
  SetAssignment::next(Gecode::Support::RandomGenerator& rand) {
    int i = n-1;
    while (true) {
      ++dsv[i];
      if (dsv[i]())
        return;
      dsv[i].init(lub);
      --i;
      if (i<0) {
        if (withInt==0) {
          done = true;
          return;
        }
        ir.next(rand);
        if (ir.has_more()) {
          i = n-1;
          for (int j=n; j--; )
            dsv[j].init(lub);
        } else {
          done = true;
          return;
        }
      }
    }
  }
 
}}
 
std::ostream&
operator<<(std::ostream& os, const Test::Set::SetAssignment& a) {
  int n = a.size();
  os << "{";
  for (int i=0; i<n; i++) {
    Test::Set::CountableSetRanges csv(a.lub, a[i]);
    Gecode::IntSet icsv(csv);
    os << icsv << ((i!=n-1) ? "," : "}");
  }
  if (a.withInt > 0)
    os << a.ints();
  return os;
}
 
namespace Test { namespace Set {
 
  SetTestSpace::SetTestSpace(int n, Gecode::IntSet& d0, int i,
                             SetTest* t, bool log)
    : d(d0), y(*this, i, d),
      withInt(i), r(Gecode::BoolVar(*this, 0, 1),Gecode::RM_EQV),
      reified(false), test(t) {
    using namespace Gecode;
    IntSet u(Gecode::Set::Limits::min,Gecode::Set::Limits::max);
    x = SetVarArray(*this, n, Gecode::IntSet::empty, u);
    SetVarArgs _x(*this, n, Gecode::IntSet::empty, d);
    if (x.size() == 1)
      dom(*this,x[0],_x[0]);
    else
      dom(*this,x,_x);
    if (opt.log && log) {
      olog << ind(2) << "Initial: x[]=" << x;
      olog << " y[]=" << y;
      olog << std::endl;
    }
  }
 
  SetTestSpace::SetTestSpace(int n, Gecode::IntSet& d0, int i,
                             SetTest* t, Gecode::ReifyMode rm, bool log)
    : d(d0), x(*this, n, Gecode::IntSet::empty, d), y(*this, i, d),
      withInt(i), r(Gecode::BoolVar(*this, 0, 1),rm),
      reified(true), test(t) {
    if (opt.log && log) {
      olog << ind(2) << "Initial: x[]=" << x;
      olog << " y[]=" << y;
      olog << " b=" << r.var();
      olog << std::endl;
    }
  }
 
  SetTestSpace::SetTestSpace(SetTestSpace& s)
    : Gecode::Space(s), d(s.d), withInt(s.withInt),
      reified(s.reified), test(s.test) {
    x.update(*this, s.x);
    y.update(*this, s.y);
    Gecode::BoolVar b;
    Gecode::BoolVar sr(s.r.var());
    b.update(*this, sr);
    r.var(b); r.mode(s.r.mode());
  }
 
  Gecode::Space*
  SetTestSpace::copy(void) {
    return new SetTestSpace(*this);
  }
 
  void
  SetTestSpace::post(void) {
    if (reified){
      test->post(*this,x,y,r);
      if (opt.log)
        olog << ind(3) << "Posting reified propagator" << std::endl;
    } else {
      test->post(*this,x,y);
      if (opt.log)
        olog << ind(3) << "Posting propagator" << std::endl;
    }
  }
 
  bool
  SetTestSpace::failed(void) {
    if (opt.log) {
      olog << ind(3) << "Fixpoint: x[]=" << x
           << " y[]=" << y << std::endl;
      bool f=(status() == Gecode::SS_FAILED);
      olog << ind(3) << "     -->  x[]=" << x
           << " y[]=" << y << std::endl;
      return f;
    } else {
      return status() == Gecode::SS_FAILED;
    }
  }
 
  bool
  SetTestSpace::subsumed(bool b) {
    return b ? (propagators() == 0) : true;
  }
 
  void
  SetTestSpace::rel(int i, Gecode::SetRelType srt, const Gecode::IntSet& is) {
    if (opt.log) {
      olog << ind(4) << "x[" << i << "] ";
      switch (srt) {
      case Gecode::SRT_EQ: olog << "="; break;
      case Gecode::SRT_LQ: olog << "<="; break;
      case Gecode::SRT_LE: olog << "<"; break;
      case Gecode::SRT_GQ: olog << ">="; break;
      case Gecode::SRT_GR: olog << ">"; break;
      case Gecode::SRT_NQ: olog << "!="; break;
      case Gecode::SRT_SUB: olog << "sub"; break;
      case Gecode::SRT_SUP: olog << "sup"; break;
      case Gecode::SRT_DISJ: olog << "||"; break;
      case Gecode::SRT_CMPL: olog << "^-1 = "; break;
      }
      olog << is << std::endl;
    }
    Gecode::dom(*this, x[i], srt, is);
  }
 
  void
  SetTestSpace::cardinality(int i, int cmin, int cmax) {
    if (opt.log) {
      olog << ind(4) << cmin << " <= #(x[" << i << "]) <= " << cmax
           << std::endl;
    }
    Gecode::cardinality(*this, x[i], cmin, cmax);
  }
 
  void
  SetTestSpace::rel(int i, Gecode::IntRelType irt, int n) {
    if (opt.log) {
      olog << ind(4) << "y[" << i << "] ";
      switch (irt) {
      case Gecode::IRT_EQ: olog << "="; break;
      case Gecode::IRT_NQ: olog << "!="; break;
      case Gecode::IRT_LQ: olog << "<="; break;
      case Gecode::IRT_LE: olog << "<"; break;
      case Gecode::IRT_GQ: olog << ">="; break;
      case Gecode::IRT_GR: olog << ">"; break;
      }
      olog << " " << n << std::endl;
    }
    Gecode::rel(*this, y[i], irt, n);
  }
 
  void
  SetTestSpace::rel(bool sol) {
    int n = sol ? 1 : 0;
    assert(reified);
    if (opt.log)
      olog << ind(4) << "b = " << n << std::endl;
    Gecode::rel(*this, r.var(), Gecode::IRT_EQ, n);
  }
 
  void
  SetTestSpace::assign(const SetAssignment& a, Gecode::Support::RandomGenerator& rand) {
    for (int i=a.size(); i--; ) {
      CountableSetRanges csv(a.lub, a[i]);
      Gecode::IntSet ai(csv);
      rel(i, Gecode::SRT_EQ, ai);
      if (Base::fixpoint(rand) && failed())
        return;
    }
    for (int i=withInt; i--; ) {
      rel(i, Gecode::IRT_EQ, a.ints()[i]);
      if (Base::fixpoint(rand) && failed())
        return;
    }
  }
 
  bool
  SetTestSpace::assigned(void) const {
    for (int i=x.size(); i--; )
      if (!x[i].assigned())
        return false;
    for (int i=y.size(); i--; )
      if (!y[i].assigned())
        return false;
    return true;
  }
 
  void
  SetTestSpace::removeFromLub(int v, int i, const SetAssignment& a) {
    using namespace Gecode;
    SetVarUnknownRanges ur(x[i]);
    CountableSetRanges air(a.lub, a[i]);
    Gecode::Iter::Ranges::Diff<Gecode::SetVarUnknownRanges,
      CountableSetRanges> diff(ur, air);
    Gecode::Iter::Ranges::ToValues<Gecode::Iter::Ranges::Diff
      <Gecode::SetVarUnknownRanges, CountableSetRanges> > diffV(diff);
    for (int j=0; j<v; j++, ++diffV) {}
    rel(i, Gecode::SRT_DISJ, Gecode::IntSet(diffV.val(), diffV.val()));
  }
 
  void
  SetTestSpace::removeFromLub(int v, int i, const SetAssignment& a,
                              SetTestSpace& c) {
    using namespace Gecode;
    SetVarUnknownRanges ur(x[i]);
    CountableSetRanges air(a.lub, a[i]);
    Gecode::Iter::Ranges::Diff<Gecode::SetVarUnknownRanges,
      CountableSetRanges> diff(ur, air);
    Gecode::Iter::Ranges::ToValues<Gecode::Iter::Ranges::Diff
      <Gecode::SetVarUnknownRanges, CountableSetRanges> > diffV(diff);
    for (int j=0; j<v; j++, ++diffV) {}
    rel(i, Gecode::SRT_DISJ, Gecode::IntSet(diffV.val(), diffV.val()));
    c.rel(i, Gecode::SRT_DISJ, Gecode::IntSet(diffV.val(), diffV.val()));
  }
 
  void
  SetTestSpace::addToGlb(int v, int i, const SetAssignment& a) {
    using namespace Gecode;
    SetVarUnknownRanges ur(x[i]);
    CountableSetRanges air(a.lub, a[i]);
    Gecode::Iter::Ranges::Inter<Gecode::SetVarUnknownRanges,
      CountableSetRanges> inter(ur, air);
    Gecode::Iter::Ranges::ToValues<Gecode::Iter::Ranges::Inter
      <Gecode::SetVarUnknownRanges, CountableSetRanges> > interV(inter);
    for (int j=0; j<v; j++, ++interV) {}
    rel(i, Gecode::SRT_SUP, Gecode::IntSet(interV.val(), interV.val()));
  }
 
  void
  SetTestSpace::addToGlb(int v, int i, const SetAssignment& a,
                         SetTestSpace& c) {
    using namespace Gecode;
    SetVarUnknownRanges ur(x[i]);
    CountableSetRanges air(a.lub, a[i]);
    Gecode::Iter::Ranges::Inter<Gecode::SetVarUnknownRanges,
      CountableSetRanges> inter(ur, air);
    Gecode::Iter::Ranges::ToValues<Gecode::Iter::Ranges::Inter
      <Gecode::SetVarUnknownRanges, CountableSetRanges> > interV(inter);
    for (int j=0; j<v; j++, ++interV) {}
    rel(i, Gecode::SRT_SUP, Gecode::IntSet(interV.val(), interV.val()));
    c.rel(i, Gecode::SRT_SUP, Gecode::IntSet(interV.val(), interV.val()));
  }
 
  bool
  SetTestSpace::fixprob(void) {
    if (failed())
      return true;
    SetTestSpace* c = static_cast<SetTestSpace*>(clone());
    if (opt.log)
      olog << ind(3) << "Testing fixpoint on copy" << std::endl;
    c->post();
    if (c->failed()) {
      delete c; return false;
    }
 
    for (int i=x.size(); i--; )
      if (x[i].glbSize() != c->x[i].glbSize() ||
          x[i].lubSize() != c->x[i].lubSize() ||
          x[i].cardMin() != c->x[i].cardMin() ||
          x[i].cardMax() != c->x[i].cardMax()) {
        delete c;
        return false;
      }
    for (int i=y.size(); i--; )
      if (y[i].size() != c->y[i].size()) {
        delete c; return false;
      }
    if (reified && (r.var().size() != c->r.var().size())) {
      delete c; return false;
    }
    if (opt.log)
      olog << ind(3) << "Finished testing fixpoint on copy" << std::endl;
    delete c;
    return true;
  }
 
  bool
  SetTestSpace::same(SetTestSpace& c) {
    if (opt.log)
      olog << ind(3) << "Testing whether enabled space is the same"
           << std::endl;
    bool f = failed();
    bool cf = c.failed();
    if (f != cf)
      return false;
    if (f)
      return true;
 
    for (int i=x.size(); i--; )
      if (x[i].glbSize() != c.x[i].glbSize() ||
          x[i].lubSize() != c.x[i].lubSize() ||
          x[i].cardMin() != c.x[i].cardMin() ||
          x[i].cardMax() != c.x[i].cardMax())
        return false;
 
    for (int i=y.size(); i--; )
      if (y[i].size() != c.y[i].size())
        return false;
 
    if (reified && (r.var().size() != c.r.var().size()))
      return false;
    if (opt.log)
      olog << ind(3) << "Finished testing whether enabled space is the same"
           << std::endl;
    return true;
  }
 
  bool
  SetTestSpace::prune(const SetAssignment& a, Gecode::Support::RandomGenerator& rand) {
    using namespace Gecode;
    bool setsAssigned = true;
    for (int j=x.size(); j--; )
      if (!x[j].assigned()) {
        setsAssigned = false;
        break;
      }
    bool intsAssigned = true;
    for (int j=y.size(); j--; )
      if (!y[j].assigned()) {
        intsAssigned = false;
        break;
      }
 
    // Select variable to be pruned
    int i;
    if (intsAssigned) {
      i = rand(x.size());
    } else if (setsAssigned) {
      i = rand(y.size());
    } else {
      i = rand(x.size()+y.size());
    }
 
    if (setsAssigned || i>=x.size()) {
      if (i>=x.size())
        i = i-x.size();
      while (y[i].assigned()) {
        i = (i+1) % y.size();
      }
      // Prune int var
 
      // Select mode for pruning
      switch (rand(3)) {
      case 0:
        if (a.ints()[i] < y[i].max()) {
          int v=a.ints()[i]+1+
            rand(static_cast<unsigned int>(y[i].max()-a.ints()[i]));
          assert((v > a.ints()[i]) && (v <= y[i].max()));
          rel(i, Gecode::IRT_LE, v);
        }
        break;
      case 1:
        if (a.ints()[i] > y[i].min()) {
          int v=y[i].min()+
            rand(static_cast<unsigned int>(a.ints()[i]-y[i].min()));
          assert((v < a.ints()[i]) && (v >= y[i].min()));
          rel(i, Gecode::IRT_GR, v);
        }
        break;
      default:
        int v;
        Gecode::Int::ViewRanges<Gecode::Int::IntView> it(y[i]);
        unsigned int skip = rand(y[i].size()-1);
        while (true) {
          if (it.width() > skip) {
            v = it.min() + skip;
            if (v == a.ints()[i]) {
              if (it.width() == 1) {
                ++it; v = it.min();
              } else if (v < it.max()) {
                ++v;
              } else {
                --v;
              }
            }
            break;
          }
          skip -= it.width();
          ++it;
        }
        rel(i, Gecode::IRT_NQ, v);
      }
      return (!Base::fixpoint(rand) || fixprob());
    }
    while (x[i].assigned()) {
      i = (i+1) % x.size();
    }
    Gecode::SetVarUnknownRanges ur1(x[i]);
    CountableSetRanges air1(a.lub, a[i]);
    Gecode::Iter::Ranges::Diff<Gecode::SetVarUnknownRanges,
      CountableSetRanges> diff(ur1, air1);
    Gecode::SetVarUnknownRanges ur2(x[i]);
    CountableSetRanges air2(a.lub, a[i]);
    Gecode::Iter::Ranges::Inter<Gecode::SetVarUnknownRanges,
      CountableSetRanges> inter(ur2, air2);
 
    CountableSetRanges aisizer(a.lub, a[i]);
    unsigned int aisize = Gecode::Iter::Ranges::size(aisizer);
 
    // Select mode for pruning
    switch (rand(5)) {
    case 0:
      if (inter()) {
        int v = rand(Gecode::Iter::Ranges::size(inter));
        addToGlb(v, i, a);
      }
      break;
    case 1:
      if (diff()) {
        int v = rand(Gecode::Iter::Ranges::size(diff));
        removeFromLub(v, i, a);
      }
      break;
    case 2:
      if (x[i].cardMin() < aisize) {
        unsigned int newc = x[i].cardMin() + 1 +
          rand(aisize - x[i].cardMin());
        assert( newc > x[i].cardMin() );
        assert( newc <= aisize );
        cardinality(i, newc, Gecode::Set::Limits::card);
      }
      break;
    case 3:
      if (x[i].cardMax() > aisize) {
        unsigned int newc = x[i].cardMax() - 1 -
          rand(x[i].cardMax() - aisize);
        assert( newc < x[i].cardMax() );
        assert( newc >= aisize );
        cardinality(i, 0, newc);
      }
      break;
    default:
      if (inter()) {
        int v = rand(Gecode::Iter::Ranges::size(inter));
        addToGlb(v, i, a);
      } else {
        int v = rand(Gecode::Iter::Ranges::size(diff));
        removeFromLub(v, i, a);
      }
    }
    return (!Base::fixpoint(rand) || fixprob());
  }
 
  bool
  SetTestSpace::disabled(const SetAssignment& a, SetTestSpace& c, Gecode::Support::RandomGenerator& rand) {
    c.disable();
    using namespace Gecode;
    bool setsAssigned = true;
    for (int j=x.size(); j--; )
      if (!x[j].assigned()) {
        setsAssigned = false;
        break;
      }
    bool intsAssigned = true;
    for (int j=y.size(); j--; )
      if (!y[j].assigned()) {
        intsAssigned = false;
        break;
      }
 
    // Select variable to be pruned
    int i;
    if (intsAssigned) {
      i = rand(x.size());
    } else if (setsAssigned) {
      i = rand(y.size());
    } else {
      i = rand(x.size()+y.size());
    }
 
    if (setsAssigned || i>=x.size()) {
      if (i>=x.size())
        i = i-x.size();
      while (y[i].assigned()) {
        i = (i+1) % y.size();
      }
      // Prune int var
 
      // Select mode for pruning
      switch (rand(3)) {
      case 0:
        if (a.ints()[i] < y[i].max()) {
          int v=a.ints()[i]+1+
            rand(static_cast<unsigned int>(y[i].max()-a.ints()[i]));
          assert((v > a.ints()[i]) && (v <= y[i].max()));
          rel(i, Gecode::IRT_LE, v);
          c.rel(i, Gecode::IRT_LE, v);
        }
        break;
      case 1:
        if (a.ints()[i] > y[i].min()) {
          int v=y[i].min()+
            rand(static_cast<unsigned int>(a.ints()[i]-y[i].min()));
          assert((v < a.ints()[i]) && (v >= y[i].min()));
          rel(i, Gecode::IRT_GR, v);
          c.rel(i, Gecode::IRT_GR, v);
        }
        break;
      default:
        int v;
        Gecode::Int::ViewRanges<Gecode::Int::IntView> it(y[i]);
        unsigned int skip = rand(y[i].size()-1);
        while (true) {
          if (it.width() > skip) {
            v = it.min() + skip;
            if (v == a.ints()[i]) {
              if (it.width() == 1) {
                ++it; v = it.min();
              } else if (v < it.max()) {
                ++v;
              } else {
                --v;
              }
            }
            break;
          }
          skip -= it.width();
          ++it;
        }
        rel(i, Gecode::IRT_NQ, v);
        c.rel(i, Gecode::IRT_NQ, v);
      }
      c.enable();
      return same(c);
    }
    while (x[i].assigned()) {
      i = (i+1) % x.size();
    }
    Gecode::SetVarUnknownRanges ur1(x[i]);
    CountableSetRanges air1(a.lub, a[i]);
    Gecode::Iter::Ranges::Diff<Gecode::SetVarUnknownRanges,
      CountableSetRanges> diff(ur1, air1);
    Gecode::SetVarUnknownRanges ur2(x[i]);
    CountableSetRanges air2(a.lub, a[i]);
    Gecode::Iter::Ranges::Inter<Gecode::SetVarUnknownRanges,
      CountableSetRanges> inter(ur2, air2);
 
    CountableSetRanges aisizer(a.lub, a[i]);
    unsigned int aisize = Gecode::Iter::Ranges::size(aisizer);
 
    // Select mode for pruning
    switch (rand(5)) {
    case 0:
      if (inter()) {
        int v = rand(Gecode::Iter::Ranges::size(inter));
        addToGlb(v, i, a, c);
      }
      break;
    case 1:
      if (diff()) {
        int v = rand(Gecode::Iter::Ranges::size(diff));
        removeFromLub(v, i, a, c);
      }
      break;
    case 2:
      if (x[i].cardMin() < aisize) {
        unsigned int newc = x[i].cardMin() + 1 +
          rand(aisize - x[i].cardMin());
        assert( newc > x[i].cardMin() );
        assert( newc <= aisize );
        cardinality(i, newc, Gecode::Set::Limits::card);
        c.cardinality(i, newc, Gecode::Set::Limits::card);
      }
      break;
    case 3:
      if (x[i].cardMax() > aisize) {
        unsigned int newc = x[i].cardMax() - 1 -
          rand(x[i].cardMax() - aisize);
        assert( newc < x[i].cardMax() );
        assert( newc >= aisize );
        cardinality(i, 0, newc);
        c.cardinality(i, 0, newc);
      }
      break;
    default:
      if (inter()) {
        int v = rand(Gecode::Iter::Ranges::size(inter));
        addToGlb(v, i, a, c);
      } else {
        int v = rand(Gecode::Iter::Ranges::size(diff));
        removeFromLub(v, i, a, c);
      }
    }
    c.enable();
    return same(c);
  }
 
  unsigned int
  SetTestSpace::propagators(void) {
    return Gecode::PropagatorGroup::all.size(*this);
  }
 
  void
  SetTestSpace::enable(void) {
    Gecode::PropagatorGroup::all.enable(*this);
  }
 
  void
  SetTestSpace::disable(void) {
    Gecode::PropagatorGroup::all.disable(*this);
    (void) status();
  }
 

#define CHECK_TEST(T,M)                                         \
do {                                                            \
if (opt.log)                                                    \
  olog << ind(3) << "Check: " << (M) << std::endl;              \
if (!(T)) {                                                     \
  problem = (M); delete s; goto failed;                         \
}                                                               \
} while (false)

#define START_TEST(T)                                           \
  do {                                                          \
  if (opt.log) {                                                \
     olog.str("");                                              \
     olog << ind(2) << "Testing: " << (T) << std::endl;         \
  }                                                             \
  test = (T);                                                   \
  } while (false)
 
  bool
  SetTest::run(void) {
    using namespace Gecode;
    const char* test    = "NONE";
    const char* problem = "NONE";
 
    SetAssignment* ap = new SetAssignment(arity,lub,withInt);
    SetAssignment& a = *ap;
    while (a()) {
      bool is_sol = solution(a);
      if (opt.log)
        olog << ind(1) << "Assignment: " << a
             << (is_sol ? " (solution)" : " (no solution)")
             << std::endl;
      START_TEST("Assignment (after posting)");
      {
        SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this);
        SetTestSpace* sc = nullptr;
        s->post();
        switch (_rand(2)) {
          case 0:
            if (opt.log)
              olog << ind(3) << "No copy" << std::endl;
            sc = s;
            s = nullptr;
            break;
          case 1:
            if (opt.log)
              olog << ind(3) << "Copy" << std::endl;
            if (s->status() != Gecode::SS_FAILED) {
              sc = static_cast<SetTestSpace*>(s->clone());
            } else {
              sc = s; s = nullptr;
            }
            break;
          default: assert(false);
        }
        sc->assign(a, _rand);
        if (is_sol) {
          CHECK_TEST(!sc->failed(), "Failed on solution");
          CHECK_TEST(sc->subsumed(testsubsumed), "No subsumption");
        } else {
          CHECK_TEST(sc->failed(), "Solved on non-solution");
        }
        delete s; delete sc;
      }
      START_TEST("Assignment (after posting, disable)");
      {
        SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this);
        s->post();
        s->disable();
        s->assign(a, _rand);
        s->enable();
        if (is_sol) {
          CHECK_TEST(!s->failed(), "Failed on solution");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
        } else {
          CHECK_TEST(s->failed(), "Solved on non-solution");
        }
        delete s;
      }
      START_TEST("Assignment (before posting)");
      {
        SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this);
        s->assign(a, _rand);
        s->post();
        if (is_sol) {
          CHECK_TEST(!s->failed(), "Failed on solution");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
        } else {
          CHECK_TEST(s->failed(), "Solved on non-solution");
        }
        delete s;
      }
      START_TEST("Prune");
      {
        SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this);
        s->post();
        while (!s->failed() && !s->assigned())
           if (!s->prune(a, _rand)) {
             problem = "No fixpoint";
             delete s;
             goto failed;
           }
        s->assign(a, _rand);
        if (is_sol) {
          CHECK_TEST(!s->failed(), "Failed on solution");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
        } else {
          CHECK_TEST(s->failed(), "Solved on non-solution");
        }
        delete s;
      }
      if (disabled) {
        START_TEST("Prune (disable)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this);
          SetTestSpace* c = new SetTestSpace(arity,lub,withInt,this);
          s->post(); c->post();
          while (!s->failed() && !s->assigned())
            if (!s->disabled(a, *c, _rand)) {
              problem = "Different result after re-enable";
              delete s; delete c;
              goto failed;
            }
          s->assign(a, _rand);
          c->assign(a, _rand);
          if (s->failed() != c->failed()) {
            problem = "Different failure after re-enable";
            delete s; delete c;
            goto failed;
          }
          delete s; delete c;
        }
      }
      if (reified) {
        START_TEST("Assignment reified (rewrite after post, <=>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->post();
          s->rel(is_sol);
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          delete s;
        }
        START_TEST("Assignment reified (rewrite after post, =>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->post();
          s->rel(is_sol);
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          delete s;
        }
        START_TEST("Assignment reified (rewrite after post, <=)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->post();
          s->rel(is_sol);
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          delete s;
        }
        {
          START_TEST("Assignment reified (rewrite failure, <=>)");
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->post();
          s->rel(!is_sol);
          s->assign(a, _rand);
          CHECK_TEST(s->failed(), "Not failed");
          delete s;
        }
        {
          START_TEST("Assignment reified (rewrite failure, =>)");
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->post();
          s->rel(!is_sol);
          s->assign(a, _rand);
          if (is_sol) {
            CHECK_TEST(!s->failed(), "Failed");
            CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          } else {
            CHECK_TEST(s->failed(), "Not failed");
          }
          delete s;
        }
        {
          START_TEST("Assignment reified (rewrite failure, <=)");
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->post();
          s->rel(!is_sol);
          s->assign(a, _rand);
          if (is_sol) {
            CHECK_TEST(s->failed(), "Not failed");
          } else {
            CHECK_TEST(!s->failed(), "Failed");
            CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          }
          delete s;
        }
        START_TEST("Assignment reified (immediate rewrite, <=>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->rel(is_sol);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          delete s;
        }
        START_TEST("Assignment reified (immediate rewrite, =>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->rel(is_sol);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          delete s;
        }
        START_TEST("Assignment reified (immediate rewrite, <=)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->rel(is_sol);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          delete s;
        }
        START_TEST("Assignment reified (immediate failure, <=>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->rel(!is_sol);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(s->failed(), "Not failed");
          delete s;
        }
        START_TEST("Assignment reified (immediate failure, =>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->rel(!is_sol);
          s->post();
          s->assign(a, _rand);
          if (is_sol) {
            CHECK_TEST(!s->failed(), "Failed");
            CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          } else {
            CHECK_TEST(s->failed(), "Not failed");
          }
          delete s;
        }
        START_TEST("Assignment reified (immediate failure, <=)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->rel(!is_sol);
          s->post();
          s->assign(a, _rand);
          if (is_sol) {
            CHECK_TEST(s->failed(), "Not failed");
          } else {
            CHECK_TEST(!s->failed(), "Failed");
            CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          }
          delete s;
        }
        START_TEST("Assignment reified (before posting, <=>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->assign(a, _rand);
          s->post();
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
          if (is_sol) {
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Assignment reified (before posting, =>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->assign(a, _rand);
          s->post();
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          } else {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Assignment reified (before posting, <=)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->assign(a, _rand);
          s->post();
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          }
          delete s;
        }
        START_TEST("Assignment reified (after posting, <=>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
          if (is_sol) {
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Assignment reified (after posting, =>)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          } else {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Assignment reified (after posting, <=)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->post();
          s->assign(a, _rand);
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          }
          delete s;
        }
        START_TEST("Assignment reified (after posting, <=>, disable)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->post();
          s->disable();
          s->assign(a, _rand);
          s->enable();
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
          if (is_sol) {
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Assignment reified (after posting, =>, disable)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->post();
          s->disable();
          s->assign(a, _rand);
          s->enable();
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          } else {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Assignment reified (after posting, <=, disable)");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->post();
          s->disable();
          s->assign(a, _rand);
          s->enable();
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          }
          delete s;
        }
        START_TEST("Prune reified, <=>");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_EQV);
          s->post();
          while (!s->failed() &&
                 (!s->assigned() || !s->r.var().assigned()))
            if (!s->prune(a, _rand)) {
              problem = "No fixpoint";
              delete s;
              goto failed;
            }
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
          if (is_sol) {
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Prune reified, =>");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_IMP);
          s->post();
          while (!s->failed() &&
                 (!s->assigned() || (!is_sol && !s->r.var().assigned()))) {
            if (!s->prune(a, _rand)) {
              problem = "No fixpoint";
              delete s;
              goto failed;
            }
          }
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          } else {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==0, "One on non-solution");
          }
          delete s;
        }
        START_TEST("Prune reified, <=");
        {
          SetTestSpace* s = new SetTestSpace(arity,lub,withInt,this,RM_PMI);
          s->post();
          while (!s->failed() &&
                 (!s->assigned() || (is_sol && !s->r.var().assigned())))
            if (!s->prune(a, _rand)) {
              problem = "No fixpoint";
              delete s;
              goto failed;
            }
          CHECK_TEST(!s->failed(), "Failed");
          CHECK_TEST(s->subsumed(testsubsumed), "No subsumption");
          if (is_sol) {
            CHECK_TEST(s->r.var().assigned(), "Control variable unassigned");
            CHECK_TEST(s->r.var().val()==1, "Zero on solution");
          } else {
            CHECK_TEST(!s->r.var().assigned(), "Control variable assigned");
          }
          delete s;
        }
      }
      a.next(_rand);
    }
    delete ap;
    return true;
   failed:
        if (opt.log)
          olog << "FAILURE" << std::endl
               << ind(1) << "Test:       " << test << std::endl
               << ind(1) << "Problem:    " << problem << std::endl;
        if (a() && opt.log)
          olog << ind(1) << "Assignment: " << a << std::endl;
     delete ap;
 
     return false;
  }
 
  const Gecode::SetRelType SetRelTypes::srts[] =
    {Gecode::SRT_EQ,Gecode::SRT_NQ,Gecode::SRT_SUB,
     Gecode::SRT_SUP,Gecode::SRT_DISJ,Gecode::SRT_CMPL};
 
  const Gecode::SetOpType SetOpTypes::sots[] =
    {Gecode::SOT_UNION, Gecode::SOT_DUNION,
     Gecode::SOT_INTER, Gecode::SOT_MINUS};
 
}}
 
#undef START_TEST
#undef CHECK_TEST
 
// STATISTICS: test-set