function _backdrop_depth_first_search

Performs a depth-first search on a graph.

Parameters

$graph: A three dimensional associated graph array.

$state: An associative array. The key 'last_visit_order' stores a list of the vertices visited. The key components stores list of vertices belonging to the same the component.

$start: An arbitrary vertex where we started traversing the graph.

$component: The component of the last vertex.

See also

backdrop_depth_first_search()

File

core/includes/graph.inc, line 89

Directed acyclic graph manipulation.

Code

function _backdrop_depth_first_search(&$graph, &$state, $start, &$component = NULL) {
  // Assign new component for each new vertex, i.e. when not called recursively.
  if (!isset($component)) {
    $component = $start;
  }
  // Nothing to do, if we already visited this vertex.
  if (isset($graph[$start]['paths'])) {
    return;
  }
  // Mark $start as visited.
  $graph[$start]['paths'] = array();

  // Assign $start to the current component.
  $graph[$start]['component'] = $component;
  $state['components'][$component][] = $start;

  // Visit edges of $start.
  if (isset($graph[$start]['edges'])) {
    foreach ($graph[$start]['edges'] as $end => $v) {
      // Mark that $start can reach $end.
      $graph[$start]['paths'][$end] = $v;

      if (isset($graph[$end]['component']) && $component != $graph[$end]['component']) {
        // This vertex already has a component, use that from now on and
        // reassign all the previously explored vertices.
        $new_component = $graph[$end]['component'];
        foreach ($state['components'][$component] as $vertex) {
          $graph[$vertex]['component'] = $new_component;
          $state['components'][$new_component][] = $vertex;
        }
        unset($state['components'][$component]);
        $component = $new_component;
      }
      // Only visit existing vertices.
      if (isset($graph[$end])) {
        // Visit the connected vertex.
        _backdrop_depth_first_search($graph, $state, $end, $component);

        // All vertices reachable by $end are also reachable by $start.
        $graph[$start]['paths'] += $graph[$end]['paths'];
      }
    }
  }

  // Now that any other subgraph has been explored, add $start to all reverse
  // paths.
  foreach ($graph[$start]['paths'] as $end => $v) {
    if (isset($graph[$end])) {
      $graph[$end]['reverse_paths'][$start] = $v;
    }
  }

  // Record the order of the last visit. This is the reverse of the
  // topological order if the graph is acyclic.
  $state['last_visit_order'][] = $start;
}