File: VertexFacetTable.cc

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////////////////////////////////////////////////////////////////////////////////
// 
// VertexFacetTable.cc
//
//    produced: 16/06/98 jr
// last change: 16/06/98 jr
//
////////////////////////////////////////////////////////////////////////////////

#include "VertexFacetTable.hh"

// additional constructors:
VertexFacetTable::VertexFacetTable(const FastSimplicialComplex& sc) {
#ifdef CONSTRUCTOR_DEBUG
  std::cout << "VertexFacetTable::VertexFacetTable(const FastSimplicialComplex&)" 
       << std::endl;
#endif
  Simplex support(sc.support());
  size_type init_size = 0;
  for (Simplex::iterator iter = support.begin();
       iter != support.end();
       ++iter)
    init_size = *iter;
  
  init_size++;
  resize(init_size);
  for (size_type i = 0; i < maxindex(); ++i) {
    for (FastSimplicialComplex::iterator iter = sc.begin();
	 iter != sc.end();
	 ++iter)
      if (iter->contains(i))
	(*this)[i] += *iter;
	
  }
}

// functions:
VertexFacetTable::operator FastSimplicialComplex() const {
  FastSimplicialComplex result;
  for (size_type i = 0; i < maxindex(); ++i) {
    result += (*this)[i];
  }
  return result;
}

FastSimplicialComplex VertexFacetTable::star(const Simplex& simp) const {
  FastSimplicialComplex result((FastSimplicialComplex)(*this));
  for (Simplex::iterator iter = simp.begin(); iter != simp.end(); ++iter) {
    result *= (*this)[*iter];
  }
  return result;
}

FastSimplicialComplex VertexFacetTable::link(const Simplex& simp) const {
  FastSimplicialComplex result((FastSimplicialComplex)(*this));
  for (Simplex::iterator iter = simp.begin(); iter != simp.end(); ++iter) {
    result *= ((*this)[*iter] - simp);
  }
  return result;
}

const bool VertexFacetTable::contains_face(const Simplex& simp, 
					   const size_type card, 
					   const FastSimplicialComplex& sub) const {
  if (card + 1 > sub._maxcard)
    return false;

  if (sub.contains(simp))
    return false;

  size_type maxmincard = sub._mincard;
  size_type minmaxcard = sub._maxcard;
  if (card + 1 > maxmincard)
    maxmincard = card + 1;

  for (Simplex::iterator simp_iter = simp.begin();
       simp_iter != simp.end();
       ++simp_iter) {
    size_type vf_mincard = (*this)[*simp_iter]._mincard;
    size_type vf_maxcard = (*this)[*simp_iter]._maxcard;
    if (vf_mincard > maxmincard)
      maxmincard = vf_mincard;

    if (vf_maxcard < minmaxcard)
      minmaxcard = vf_maxcard;
	
  }
  const FastSimplicialComplex::IndexSet** setarray = new const FastSimplicialComplex::IndexSet*[card];
  size_type intersection_index = 0;
  for (size_type i = maxmincard; i < minmaxcard; ++i) {
    size_type count = 0;
    for (Simplex::iterator simp_iter = simp.begin();
	 simp_iter != simp.end();
	 ++simp_iter) {
      setarray[count++] = &(*this)[*(simp_iter)]._index_set[i];
    }
    if (sub._index_set[i].intersection_nonempty(setarray, card, intersection_index) != 0) {
      delete []setarray;
#ifdef COMPUTATIONS_DEBUG
      Simplex test_facet;
      if (!sub.contains_face(simp)) {
	std::cerr << "internal error: " << simp << " not face in " << *this << std::endl;
	std::cerr << "intersection_index: " << intersection_index << std::endl;
	std::cerr << "maxmincard: " << maxmincard << std::endl;
	std::cerr << "minmaxcard: " << minmaxcard << std::endl;
	for (size_type j = maxmincard; j < minmaxcard; ++j) {
	  std::cout << "card = " << j << std::endl;
	  for (Simplex::iterator simp_iter = simp.begin(); 
	       simp_iter != simp.end(); 
	       ++simp_iter) {
	    std::cout << "(*this)[" << *simp_iter << "] = " 
		 << (*this)[*simp_iter]._index_set[j] << std::endl;

	  }
	}
	exit(1);
      }
#endif
      return true;
    }
  }
  delete []setarray;
  return false;
}

const bool VertexFacetTable::contains(const Simplex& simp) const {
  for (size_type i = 0; i < maxindex(); ++i) {
    if ((*this)[i].contains(simp)) {
      return true;
    }
  }
  return false;
}

const bool VertexFacetTable::contains_free_face(const Simplex& simp,
						const size_type card, 
						const FastSimplicialComplex& sub,
						Simplex& facet) const {
  if (card + 2 > sub._maxcard)
    return false;

  if (sub.contains(simp))
    return false;

  size_type maxmincard = sub._mincard;
  size_type minmaxcard = sub._maxcard;
  if (card + 1 > maxmincard) 
    maxmincard = card + 1;

  for (Simplex::iterator simp_iter = simp.begin();
       simp_iter != simp.end();
       ++simp_iter) {
    size_type vf_mincard = (*this)[*simp_iter]._mincard;
    size_type vf_maxcard = (*this)[*simp_iter]._maxcard;
    if (vf_mincard > maxmincard)
      maxmincard = vf_mincard;

    if (vf_maxcard < minmaxcard)
      minmaxcard = vf_maxcard;
	
  }
  const FastSimplicialComplex::IndexSet** setarray = new const FastSimplicialComplex::IndexSet*[card];
  size_type intersection_card = 0;
  size_type intersection_index = 0;
  for (size_type i = maxmincard; i < minmaxcard; ++i) {
    size_type count = 0;
    for (Simplex::iterator simp_iter = simp.begin();
	 simp_iter != simp.end();
	 ++simp_iter) {
      setarray[count++] = &(*this)[*simp_iter]._index_set[i];
    }
    size_type card_of_intersection = 
      sub._index_set[i].intersection_card(setarray, card, intersection_index);
    if (card_of_intersection == 1) {
      if (++intersection_card > 1) {
	delete []setarray;
#ifdef COMPUTATIONS_DEBUG
	if (sub.contains_free_face(simp, facet)) {
	  std::cerr << "internal error: " << simp << " free in " << *this << std::endl;
	  exit(1);
	}
#endif
	return false;
      }
      else {
	facet = sub._index_table[i].get_obj(intersection_index);
      }
    }
    else if (card_of_intersection > 1) {
      delete []setarray;
#ifdef COMPUTATIONS_DEBUG
      if (sub.contains_free_face(simp, facet)) {
	std::cerr << "internal error: " << simp << " free in " << *this << std::endl;
	exit(1);
      }
#endif
      return false;
    }
  }
  if (intersection_card == 0) {
    delete []setarray;
#ifdef COMPUTATIONS_DEBUG
    if (sub.contains_free_face(simp, facet)) {
      std::cerr << "internal error: " << simp << " free in " << *this << std::endl;
      exit(1);
    }
#endif
    return false;
  }
#ifdef COMPUTATIONS_DEBUG
  Simplex test_facet;
  if (!sub.contains_free_face(simp, test_facet)) {
    std::cerr << "internal error: " << simp << " not free in " << *this << std::endl;
    std::cerr << "intersection_index: " << intersection_index << std::endl;
    std::cerr << "intersection_card: " << intersection_card << std::endl;
    std::cerr << "sub.mincard: " << sub.mincard() << std::endl;
    std::cerr << "sub.maxcard: " << sub.maxcard() << std::endl;
    for (size_type j = maxmincard; j < minmaxcard; ++j) {
      std::cout << "card = " << j << std::endl;
      for (Simplex::iterator simp_iter = simp.begin(); 
	   simp_iter != simp.end(); 
	   ++simp_iter) {
	std::cout << "(*this)[" << *simp_iter << "] = " 
	     << (*this)[*simp_iter]._index_set[j] << std::endl;

      }
    }
    exit(1);
  }
#endif
  delete []setarray;
  return true;
}

// eof VertexFacetTable.cc