X-Git-Url: https://www.fleuret.org/cgi-bin/gitweb/gitweb.cgi?a=blobdiff_plain;f=mtp_graph.cc;h=33d5a4ff0d8bdd191467b5cdaf8fc607108fb5a3;hb=86c860c0f43a9130e4121072620961fc892ed83f;hp=aa294b43bcd6856bd38de8ce945b0588f42b492b;hpb=14e3b33cbe1e0d7deb0b4aa697f6c8b5d43e2963;p=mtp.git diff --git a/mtp_graph.cc b/mtp_graph.cc index aa294b4..33d5a4f 100644 --- a/mtp_graph.cc +++ b/mtp_graph.cc @@ -52,6 +52,8 @@ public: inline void add_leaving_edge(Edge *e); inline void del_leaving_edge(Edge *e); + inline void decrease_distance_in_heap(Vertex **heap); + inline void increase_distance_in_heap(Vertex **heap, int heap_size); }; ////////////////////////////////////////////////////////////////////// @@ -91,6 +93,41 @@ void Vertex::del_leaving_edge(Edge *e) { } } +void Vertex::decrease_distance_in_heap(Vertex **heap) { + Vertex **p, **h; + // There is some beauty in that + h = heap_slot; + while(h > heap && + (p = heap + (h - heap + 1) / 2 - 1, + (*p)->distance_from_source > (*h)->distance_from_source)) { + swap(*p, *h); + swap((*p)->heap_slot, (*h)->heap_slot); + h = p; + } +} + +void Vertex::increase_distance_in_heap(Vertex **heap, int heap_size) { + Vertex **c1, **c2, **h; + // omg, that's beautiful + h = heap_slot; + while(c1 = heap + 2 * (h - heap + 1) - 1, c2 = c1 + 1, + (c1 < heap + heap_size && (*c1)->distance_from_source < (*h)->distance_from_source) + || + (c2 < heap + heap_size && (*c2)->distance_from_source < (*h)->distance_from_source) + ) { + if(c1 < heap + heap_size && + !(c2 < heap + heap_size && (*c2)->distance_from_source < (*c1)->distance_from_source)){ + swap(*c1, *h); + swap((*c1)->heap_slot, (*h)->heap_slot); + h = c1; + } else { + swap(*c2, *h); + swap((*c2)->heap_slot, (*h)->heap_slot); + h = c2; + } + } +} + ////////////////////////////////////////////////////////////////////// static int compare_vertex(const void *v1, const void *v2) { @@ -227,24 +264,32 @@ int MTPGraph::compute_dp_distances() { Vertex *v; Edge *e; + // 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 + // successively nodes without predecessor: At the first iteration it + // removes the source, then the nodes with incoming edge only from + // the source, etc. If it can remove all the nodes that way, the + // graph is a DAG. If at some point it can not remove node anymore + // and there are some remaining nodes, the graph is not a DAG. + Vertex **active = new Vertex *[_nb_vertices]; - // We put everybody in the active + // All the nodes are active at first for(int k = 0; k < _nb_vertices; k++) { _vertices[k].distance_from_source = 0; active[k] = &_vertices[k]; } - int iteration = 1; + scalar_t nb_iterations = 1; int nb_active = _nb_vertices, pred_nb_active; do { // We set the distance_from_source field of all the vertices with incoming - // edges to the current iteration value + // edges to the current nb_iterations value for(int f = 0; f < nb_active; f++) { v = active[f]; for(e = v->leaving_edges; e; e = e->next_leaving_edge) { - e->terminal_vertex->distance_from_source = iteration; + e->terminal_vertex->distance_from_source = nb_iterations; } } @@ -254,12 +299,12 @@ int MTPGraph::compute_dp_distances() { // We keep all the vertices with incoming nodes for(int f = 0; f < pred_nb_active; f++) { v = active[f]; - if(v->distance_from_source == iteration) { + if(v->distance_from_source == nb_iterations) { active[nb_active++] = v; } } - iteration++; + nb_iterations++; } while(nb_active < pred_nb_active); delete[] active; @@ -267,42 +312,7 @@ int MTPGraph::compute_dp_distances() { return nb_active == 0; } -void MTPGraph::decrease_distance_in_heap(Vertex *v) { - Vertex **p, **h; - // There is some beauty in that - h = v->heap_slot; - while(h > _heap && - (p = _heap + (h - _heap + 1) / 2 - 1, - (*p)->distance_from_source > (*h)->distance_from_source)) { - swap(*p, *h); - swap((*p)->heap_slot, (*h)->heap_slot); - h = p; - } -} - -void MTPGraph::increase_distance_in_heap(Vertex *v) { - Vertex **c1, **c2, **h; - // There is some beauty in that - h = v->heap_slot; - while(c1 = _heap + 2 * (h - _heap + 1) - 1, c2 = c1 + 1, - (c1 < _heap + _heap_size && (*c1)->distance_from_source < (*h)->distance_from_source) - || - (c2 < _heap + _heap_size && (*c2)->distance_from_source < (*h)->distance_from_source) - ) { - if(c1 < _heap + _heap_size && - !(c2 < _heap + _heap_size && (*c2)->distance_from_source < (*c1)->distance_from_source)){ - swap(*c1, *h); - swap((*c1)->heap_slot, (*h)->heap_slot); - h = c1; - } else { - swap(*c2, *h); - swap((*c2)->heap_slot, (*h)->heap_slot); - h = c2; - } - } -} - -void MTPGraph::dp_distance_propagation() { +void MTPGraph::dp_compute_distances() { Vertex *v, *tv; Edge *e; scalar_t d; @@ -322,7 +332,7 @@ void MTPGraph::dp_distance_propagation() { if(d < tv->distance_from_source) { tv->distance_from_source = d; tv->pred_edge_toward_source = e; - decrease_distance_in_heap(tv); + tv->decrease_distance_in_heap(_heap); } } } @@ -344,7 +354,7 @@ void MTPGraph::find_shortest_path() { _heap_size = _nb_vertices; _source->distance_from_source = 0; - decrease_distance_in_heap(_source); + _source->decrease_distance_in_heap(_heap); do { // Get the closest to the source @@ -356,7 +366,7 @@ void MTPGraph::find_shortest_path() { a = _heap; b = _heap + _heap_size; swap(*a, *b); swap((*a)->heap_slot, (*b)->heap_slot); - increase_distance_in_heap(_heap[0]); + _heap[0]->increase_distance_in_heap(_heap, _heap_size); // Now update the neighbors of the currently closest to the source for(e = v->leaving_edges; e; e = e->next_leaving_edge) { @@ -366,7 +376,7 @@ void MTPGraph::find_shortest_path() { ASSERT(tv->heap_slot - _heap < _heap_size); tv->distance_from_source = d; tv->pred_edge_toward_source = e; - decrease_distance_in_heap(tv); + tv->decrease_distance_in_heap(_heap); } } } while(_heap_size > 0); @@ -383,9 +393,8 @@ void MTPGraph::find_best_paths(scalar_t *lengths) { _edges[e].positivized_length = _edges[e].length; } - // Update the distance to the source in "good order" - - dp_distance_propagation(); + // Update the distances to the source in "good order" + dp_compute_distances(); do { update_positivized_lengths();