minimalConditioningSet_tpl.h

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 *       - Pierre-Henri WUILLEMIN(_at_LIP6)                                 *
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#pragma once
 
#include <agrum/base/graphs/algorithms/generic/minimalConditioningSet.h>
 
namespace gum::graph {
 
  template < GUM_DiGraphable G >
  void _mcsVisitUp_(const G&       g,
                    NodeId         node,
                    const NodeSet& soids,
                    NodeSet&       minimal,
                    NodeSet&       visitedUp,
                    NodeSet&       visitedDn) {
    if (visitedUp.contains(node)) return;
    visitedUp << node;
 
    if (soids.contains(node)) {
      minimal << node;
    } else {
      for (const auto par: g.parents(node))
        _mcsVisitUp_(g, par, soids, minimal, visitedUp, visitedDn);
      for (const auto chi: g.children(node))
        _mcsVisitDn_(g, chi, soids, minimal, visitedUp, visitedDn);
    }
  }
 
  template < GUM_DiGraphable G >
  void _mcsVisitDn_(const G&       g,
                    NodeId         node,
                    const NodeSet& soids,
                    NodeSet&       minimal,
                    NodeSet&       visitedUp,
                    NodeSet&       visitedDn) {
    if (visitedDn.contains(node)) return;
    visitedDn << node;
 
    if (soids.contains(node)) {
      minimal << node;
      for (const auto par: g.parents(node))
        _mcsVisitUp_(g, par, soids, minimal, visitedUp, visitedDn);
    } else {
      for (const auto chi: g.children(node))
        _mcsVisitDn_(g, chi, soids, minimal, visitedUp, visitedDn);
    }
  }
 
  template < GUM_DiGraphable G >
  NodeSet minimalCondSet(const G& g, NodeId target, const NodeSet& soids) {
    if (soids.contains(target)) return NodeSet({target});
 
    NodeSet res, visitedUp, visitedDn;
    visitedUp << target;
    visitedDn << target;
 
    for (const auto par: g.parents(target))
      _mcsVisitUp_(g, par, soids, res, visitedUp, visitedDn);
    for (const auto chi: g.children(target))
      _mcsVisitDn_(g, chi, soids, res, visitedUp, visitedDn);
 
    return res;
  }
 
  template < GUM_DiGraphable G >
  NodeSet minimalCondSet(const G& g, const NodeSet& targets, const NodeSet& soids) {
    NodeSet res;
    for (const auto node: targets)
      res += minimalCondSet(g, node, soids);
    return res;
  }
 
}   // namespace gum::graph