topological_sort.H

Go to the documentation of this file.

 
/*
                          Aleph_w
 
  Data structures & Algorithms
  version 2.0.0b
  https://github.com/lrleon/Aleph-w
 
  This file is part of Aleph-w library
 
  Copyright (c) 2002-2026 Leandro Rabindranath Leon
 
  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.
*/
 
 
#ifndef TOPOLOGICAL_SORT_H
#define TOPOLOGICAL_SORT_H
 
# include <ah-graph-concepts.H>
 
#include <tpl_dynListQueue.H>
#include <tpl_graph.H>
 
namespace Aleph {
 
template <AlephGraph GT,
          template <typename, class> class Itor = Out_Iterator,
          ArcFilter<GT> SA = Dft_Show_Arc<GT>>
class Topological_Sort
{
  SA & sa;
  const GT * gptr;
 
public:
 
  Topological_Sort(SA && __sa = SA())
    : sa(__sa), gptr(nullptr) { /* empty */ }
 
  Topological_Sort(SA & __sa)
    : sa(__sa), gptr(nullptr)  { /* empty */ }
 
private:
 
  template <template <class> class List>
  void topological_sort(typename GT::Node * curr,
                        List<typename GT::Node*> & list)
  {
    assert(gptr != nullptr);
 
    if (IS_NODE_VISITED(curr, Depth_First))
      return;
 
    NODE_BITS(curr).set_bit(Depth_First, 1); // mark as visited
 
    const auto & n = gptr->get_num_nodes();
 
    // recursively visit adjacent nodes in postfix order
    for (Itor<GT,SA> it(curr,sa); it.has_curr() and list.size() < n; it.next_ne())
      topological_sort(it.get_tgt_node_ne(), list);
 
    list.insert(curr); // postfix insertion of node that became a sink
  }
 
public:
 
  template <template <class> class List>
  [[nodiscard]] List<typename GT::Node*> perform(const GT & g)
  {
    g.reset_bit_nodes(Depth_First); // initialize visit marks
 
    gptr = &g;
    List<typename GT::Node*> list;
 
    // traverse all nodes
    const auto & n = gptr->get_num_nodes();
    for (auto it = g.get_node_it(); it.has_curr() and list.size() < n;
         it.next_ne())
      {
        auto curr = it.get_current_node_ne();
        if (not IS_NODE_VISITED(curr, Depth_First))
          topological_sort(curr, list);
      }
 
    return list;
  }
 
  void operator()(const GT & g, DynDlist<typename GT::Node*> & list)
  {
    perform<DynDlist>(g).swap(list);
  }
};
 
template <AlephGraph GT,
          template <typename, class> class Itor = Out_Iterator,
          ArcFilter<GT> SA = Dft_Show_Arc<GT>>
class Q_Topological_Sort
{
  SA & sa;
 
public:
 
  Q_Topological_Sort(SA && __sa = SA())
    : sa(__sa) { /* empty */ }
 
  Q_Topological_Sort(SA & __sa)
    : sa(__sa) { /* empty */ }
 
  template <template <class> class List>
  [[nodiscard]] List<typename GT::Node*> perform(const GT & g)
  {
    g.reset_counter_nodes();
 
    List<typename GT::Node*> list;
 
    // traverse all arcs and count in-degrees
    for (Arc_Iterator<GT,SA> it(g, sa); it.has_curr(); it.next_ne())
      NODE_COUNTER(it.get_tgt_node_ne())++;
 
    // find nodes with in-degree 0 and enqueue them
    DynListQueue<typename GT::Node*> q; // queue of sources
    for (auto it = g.get_node_it(); it.has_curr(); it.next_ne())
      {
        auto p = it.get_current_node_ne();
        if (NODE_COUNTER(p) == 0) // is it a source node?
          q.put(p); // yes => enqueue it
      }
 
    while (not q.is_empty())
      {
        auto p = q.get(); // dequeue last source
 
        assert(NODE_COUNTER(p) == 0);
 
        list.append(p); // insert in topological order
 
        // decrement in-degree of each node adjacent to p
        for (Itor<GT, SA> it(p, sa); it.has_curr(); it.next_ne())
          {
            auto tgt = it.get_tgt_node_ne();
            if (--NODE_COUNTER(tgt) == 0) // does tgt become a source?
              q.put(tgt); // yes => enqueue it
          }
      }
 
    return list;
  }
 
  template <template <class> class RankList = DynList,
            template <class> class List = DynList>
  [[nodiscard]] RankList<List<typename GT::Node*>> ranks(const GT & g)
  {
    g.reset_counter_nodes();
 
    // traverse all nodes to count in-degrees
    for (typename GT::Node_Iterator i(g); i.has_curr(); i.next_ne())
      for (Itor<GT, SA> j(i.get_current_node_ne(), sa);
           j.has_curr(); j.next_ne())
        NODE_COUNTER(j.get_tgt_node())++;
 
    // find nodes with in-degree 0 and enqueue them
    DynListQueue<typename GT::Node*> q; // queue of sources
    for (typename GT::Node_Iterator it(g); it.has_curr(); it.next_ne())
      {
        auto p = it.get_current_node_ne();
        if (NODE_COUNTER(p) == 0) // is it a source node?
          q.put(p); // yes => enqueue it
      }
 
    RankList<List<typename GT::Node*>> ranks; // return value
    while (not q.is_empty())
      {
        List<typename GT::Node*> rank;
        DynListQueue<typename GT::Node*> aq;
 
        while (not q.is_empty()) // extract all nodes at level i
          {
            auto p = q.get(); // dequeue last source
            rank.append(p); // insert in current rank
 
            // decrement in-degree of each node adjacent to p
            for (Itor<GT, SA> it(p, sa); it.has_curr(); it.next_ne())
              {
                auto tgt = it.get_tgt_node_ne();
                if (--NODE_COUNTER(tgt) == 0) // does tgt become a source?
                  aq.put(tgt); // yes => enqueue in auxiliary queue
              }
          }
 
        ranks.append(std::move(rank));
        q.swap(aq);
        assert(aq.is_empty());
      }
 
    return ranks;
  }
 
  void operator()(const GT & g, DynDlist<DynList<typename GT::Node *>> & list)
  {
    auto result = this->ranks<>(g);
    list.empty();
    for (auto it = result.get_it(); it.has_curr(); it.next_ne())
      list.append(std::move(it.get_curr()));
  }
 
  void operator()(const GT & g, DynList<DynList<typename GT::Node *>> & list)
  {
    this->ranks<DynList>(g).swap(list);
  }
 
  void operator()(const GT & g, DynDlist<typename GT::Node*> & list)
  {
    this->perform<DynDlist>(g).swap(list);
  }
};
 
} // end namespace Aleph
 
#endif // TOPOLOGICAL_SORT_H