void MTPGraph::compute_dp_ranks() {
Vertex *v;
Edge *e;
+ int tv;
// This procedure computes for each node the longest link from the
// source and abort if the graph is not a DAG. It works by removing
// rank of a node is the iteration at which is it removed, and we
// set the distance_from_source fields to this value.
- Vertex **with_predecessor = new Vertex *[_nb_vertices];
+ int *nb_predecessors = new int[_nb_vertices];
+ int *without_predecessors = new int[_nb_vertices];
+ int *new_without_predecessors = new int[_nb_vertices];
+ int nb_without_predecessors, new_nb_without_predecessors;
- // All the nodes are with_predecessor at first
for(int k = 0; k < _nb_vertices; k++) {
- _vertices[k].distance_from_source = 0;
- with_predecessor[k] = &_vertices[k];
+ nb_predecessors[k] = 0;
}
- scalar_t rank = 1;
- int nb_with_predecessor = _nb_vertices, pred_nb_with_predecessor;
-
- do {
- // We set the distance_from_source field of all the vertices with incoming
- // edges to the current rank value
- for(int f = 0; f < nb_with_predecessor; f++) {
- v = with_predecessor[f];
- for(e = v->leaving_edge_list_root; e; e = e->next_leaving_edge) {
- e->terminal_vertex->distance_from_source = rank;
- }
+ for(int k = 0; k < _nb_vertices; k++) {
+ v = _vertices + k;
+ for(e = v->leaving_edge_list_root; e; e = e->next_leaving_edge) {
+ tv = e->terminal_vertex - _vertices;
+ nb_predecessors[tv]++;
}
+ }
- pred_nb_with_predecessor = nb_with_predecessor;
- nb_with_predecessor = 0;
+ nb_without_predecessors = 0;
+ for(int k = 0; k < _nb_vertices; k++) {
+ if(nb_predecessors[k] == 0) {
+ without_predecessors[nb_without_predecessors++] = k;
+ }
+ }
- // We keep all the vertices with incoming nodes
- for(int f = 0; f < pred_nb_with_predecessor; f++) {
- v = with_predecessor[f];
- if(v->distance_from_source == rank) {
- with_predecessor[nb_with_predecessor++] = v;
+ scalar_t rank = 1;
+ while(nb_without_predecessors > 0) {
+ new_nb_without_predecessors = 0;
+ for(int l = 0; l < nb_without_predecessors; l++) {
+ v = _vertices + without_predecessors[l];
+ v->distance_from_source = rank;
+ for(e = v->leaving_edge_list_root; e; e = e->next_leaving_edge) {
+ tv = e->terminal_vertex - _vertices;
+ nb_predecessors[tv]--;
+ ASSERT(nb_predecessors[tv] >= 0);
+ if(nb_predecessors[tv] == 0) {
+ new_without_predecessors[new_nb_without_predecessors++] = tv;
+ }
}
}
+ swap(without_predecessors, new_without_predecessors);
+ nb_without_predecessors = new_nb_without_predecessors;
rank++;
- } while(nb_with_predecessor < pred_nb_with_predecessor);
-
- delete[] with_predecessor;
+ }
- if(nb_with_predecessor > 0) {
- cerr << __FILE__ << ": The graph is not a DAG." << endl;
- abort();
+ for(int k = 0; k < _nb_vertices; k++) {
+ if(nb_predecessors[k] > 0) {
+ cerr << __FILE__ << ": The graph is not a DAG." << endl;
+ abort();
+ }
}
+
+ delete[] nb_predecessors;
+ delete[] without_predecessors;
+ delete[] new_without_predecessors;
}
//////////////////////////////////////////////////////////////////////