/* Copyright (c) 1997-2022
   Ewgenij Gawrilow, Michael Joswig, and the polymake team
   Technische Universität Berlin, Germany
   https://polymake.org

   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version: http://www.gnu.org/licenses/gpl.txt.

   This program 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.  See the
   GNU General Public License for more details.
--------------------------------------------------------------------------------
*/

#pragma once

#include "polymake/client.h"
#include "polymake/Graph.h"
#include "polymake/Set.h"
#include "polymake/Array.h"
#include "polymake/vector"
#include "polymake/list"
#include <algorithm>

namespace polymake { namespace graph { namespace lattice {

// A sequential lattice is one in which all nodes are sorted to rank (forwards or backwards).
// In this case, the list of nodes of given rank is a sequence and can be stored more efficiently.
struct Sequential : std::true_type {
  using map_value_type = std::pair<Int, Int>;
  using nodes_of_rank_type = sequence;
  using nodes_of_rank_ref_type = nodes_of_rank_type; //Intentionally not a reference, as we convert pairs to sequences

  static map_value_type make_map_value_type(const Sequential::map_value_type& x) { return x; }
  static map_value_type make_map_value_type(Int a, Int b) { return map_value_type(a,b); }
  static bool trivial(const map_value_type& x) { return x.second < x.first; }
  static nodes_of_rank_ref_type map_value_as_container(const map_value_type& x)
  {
    return nodes_of_rank_ref_type(x.first, x.second - x.first+1);
  }
};

// In a nonsequential lattice, no guarantee can be made as to the order of the nodes with respect to their
// rank.
struct Nonsequential : std::false_type {
  using map_value_type = std::list<Int>;
  using nodes_of_rank_type = std::list<Int>;
  using nodes_of_rank_ref_type = const nodes_of_rank_type&;

  static map_value_type make_map_value_type(const Sequential::map_value_type& x)
  {
    Sequential::nodes_of_rank_ref_type lseq = Sequential::map_value_as_container(x);
    return map_value_type( lseq.begin(), lseq.end() );
  }
  static map_value_type make_map_value_type(Int a, Int b)
  {
    return make_map_value_type(Sequential::map_value_type(a, b));
  }
  static bool trivial(const map_value_type& x) { return x.empty(); }
  static nodes_of_rank_ref_type map_value_as_container(const map_value_type& x) { return x; }
};


/*
 * This stores, for a given lattice, the inverse map from rank to corresponding set of nodes.
 * It is assumed that nodes are only added or deleted, never modified.
 */
template <typename SeqType>
class InverseRankMap {
protected:
  Map<Int, typename SeqType::map_value_type > inverse_rank_map;

  template <typename>
  friend struct pm::spec_object_traits;

public:
  InverseRankMap() {}
  InverseRankMap(const InverseRankMap& other) : inverse_rank_map(other.inverse_rank_map) {}

  typename SeqType::nodes_of_rank_ref_type nodes_of_rank(Int d) const;
  typename SeqType::nodes_of_rank_type nodes_of_rank_range(Int d1, Int d2) const;

  void set_rank(Int n, Int r);

  template <typename NodeList>
  void set_rank_list(Int r, const NodeList& l) { inverse_rank_map[r] = l;}

  void delete_node_and_squeeze(Int n, Int r);

  template <typename Output> friend
  Output& operator<< (GenericOutput<Output>& out, const InverseRankMap& me)
  {
    out.top() << me.inverse_rank_map;
    return out.top();
  }

  bool operator==(const InverseRankMap& other) const
  {
    return inverse_rank_map == other.inverse_rank_map;
  }

  const Map<Int, typename SeqType::map_value_type >& get_map() const { return inverse_rank_map; }
};


// This is the basic data attached to a lattice node: Its face and its rank.
struct BasicDecoration : public GenericStruct<BasicDecoration> {
  DeclSTRUCT( DeclFIELD(face, Set<Int>)
              DeclFIELD(rank, Int) );

  BasicDecoration() {}
  BasicDecoration(const Set<Int>& f, Int r) : face(f), rank(r) {}
};


} } }

namespace pm {

template <typename SeqType>
struct spec_object_traits< Serialized< polymake::graph::lattice::InverseRankMap<SeqType> > > : spec_object_traits<is_composite> {

  typedef polymake::graph::lattice::InverseRankMap<SeqType> masquerade_for;

  typedef Map<Int, typename SeqType::map_value_type> elements;

  template <typename Me, typename Visitor>
  static void visit_elements(Me &me, Visitor& v)
  {
    v << me.inverse_rank_map;
  }
};

}


// Local Variables:
// mode:C++
// c-basic-offset:3
// indent-tabs-mode:nil
// End:
