X-Git-Url: https://fleuret.org/cgi-bin/gitweb/gitweb.cgi?a=blobdiff_plain;f=mtp_graph.cc;h=ee6da31de61df9abe9705b41a895763b612ccd00;hb=8df7c7e77366cb95e9e8e963af9319d9cbac1934;hp=c2a7fa3e2a150ab06b575ddb84695cddf46f3984;hpb=ea33e3e5dddbe3796d2361910e1e3ed98a19865c;p=mtp.git diff --git a/mtp_graph.cc b/mtp_graph.cc index c2a7fa3..ee6da31 100644 --- a/mtp_graph.cc +++ b/mtp_graph.cc @@ -27,8 +27,12 @@ class Edge { public: int id, occupied; scalar_t length, work_length; - Vertex *terminal_vertex; + Vertex *origin_vertex, *terminal_vertex; + + // These are the links in the origin_vertex leaving edge list Edge *next, *pred; + + inline void revert(); }; class Vertex { @@ -36,131 +40,139 @@ public: int id, iteration; Edge *root_edge; scalar_t distance_from_source; - Vertex *pred_vertex; - Edge *pred_edge; + Edge *best_pred_edge_to_source; - Vertex() { root_edge = 0; } + Vertex(); + inline void add_edge(Edge *e); + inline void del_edge(Edge *e); +}; - inline void add_edge(Edge *e) { - e->next = root_edge; - e->pred = 0; - if(root_edge) { root_edge->pred = e; } - root_edge = e; - } +////////////////////////////////////////////////////////////////////// - inline void del_edge(Edge *e) { - if(e == root_edge) { root_edge = e->next; } - if(e->pred) { e->pred->next = e->next; } - if(e->next) { e->next->pred = e->pred; } - } -}; +void Edge::revert() { + length = - length; + work_length = 0; + origin_vertex->del_edge(this); + terminal_vertex->add_edge(this); + Vertex *t = terminal_vertex; + terminal_vertex = origin_vertex; + origin_vertex = t; +} + +////////////////////////////////////////////////////////////////////// + +Vertex::Vertex() { + root_edge = 0; +} + +void Vertex::add_edge(Edge *e) { + e->next = root_edge; + e->pred = 0; + if(root_edge) { root_edge->pred = e; } + root_edge = e; +} + +void Vertex::del_edge(Edge *e) { + if(e == root_edge) { root_edge = e->next; } + if(e->pred) { e->pred->next = e->next; } + if(e->next) { e->next->pred = e->pred; } +} + +////////////////////////////////////////////////////////////////////// void MTPGraph::print() { - for(int n = 0; n < _nb_vertices; n++) { - for(Edge *e = vertices[n].root_edge; e; e = e->next) { - cout << n << " -> " << e->terminal_vertex->id << " " << e->length; - if(e->occupied) { - cout << " *"; - } - cout << endl; + for(int k = 0; k < _nb_edges; k++) { + Edge *e = _edges + k; + cout << e->origin_vertex->id + << " -> " + << e->terminal_vertex->id + << " " + << e->length; + if(e->occupied) { + cout << " *"; } + cout << endl; } } void MTPGraph::print_dot() { cout << "digraph {" << endl; cout << " node[shape=circle];" << endl; - for(int n = 0; n < _nb_vertices; n++) { - int a = vertices[n].id; - for(Edge *e = vertices[n].root_edge; e; e = e->next) { - int b = e->terminal_vertex->id; - if(e->occupied) { - cout << " " << b << " -> " << a << " [style=bold,color=black,label=\"" << -e->length << "\"];" << endl; - } else { - cout << " " << a << " -> " << b << " [color=gray,label=\"" << e->length << "\"];" << endl; - } + for(int k = 0; k < _nb_edges; k++) { + Edge *e = _edges + k; + if(e->occupied) { + cout << " " << e->origin_vertex->id << " -> " << e->terminal_vertex->id + << " [style=bold,color=black,label=\"" << -e->length << "\"];" << endl; + } else { + cout << " " << e->origin_vertex->id << " -> " << e->terminal_vertex->id + << " [color=gray,label=\"" << e->length << "\"];" << endl; } } cout << "}" << endl; } - -void dot_print(int nb_vertices, - int nb_edges, int *ea, int *eb, scalar_t *el, - int _source, int _sink, - int *edge_occupation) { - for(int e = 0; e < nb_edges; e++) { - } - cout << "}" << endl; -} MTPGraph::MTPGraph(int nb_vertices, int nb_edges, int *from, int *to, - int src, int snk) { + int source, int sink) { _nb_vertices = nb_vertices; _nb_edges = nb_edges; - edges = new Edge[_nb_edges]; - vertices = new Vertex[_nb_vertices]; + _edges = new Edge[_nb_edges]; + _vertices = new Vertex[_nb_vertices]; + _front = new Vertex *[_nb_vertices]; + _new_front = new Vertex *[_nb_vertices]; - _source = &vertices[src]; - _sink = &vertices[snk]; + _source = &_vertices[source]; + _sink = &_vertices[sink]; for(int v = 0; v < _nb_vertices; v++) { - vertices[v].id = v; + _vertices[v].id = v; } for(int e = 0; e < nb_edges; e++) { - vertices[from[e]].add_edge(&edges[e]); - edges[e].occupied = 0; - edges[e].id = e; - edges[e].terminal_vertex = &vertices[to[e]]; + _vertices[from[e]].add_edge(_edges + e); + _edges[e].occupied = 0; + _edges[e].id = e; + _edges[e].origin_vertex = _vertices + from[e]; + _edges[e].terminal_vertex = _vertices + to[e]; } - _front = new Vertex *[_nb_vertices]; - _new_front = new Vertex *[_nb_vertices]; } MTPGraph::~MTPGraph() { - delete[] vertices; - delete[] edges; + delete[] _vertices; + delete[] _edges; delete[] _front; delete[] _new_front; } -void MTPGraph::initialize_work_lengths() { +void MTPGraph::initialize_work_lengths_with_min() { scalar_t length_min = 0; for(int n = 0; n < _nb_vertices; n++) { - for(Edge *e = vertices[n].root_edge; e; e = e->next) { + for(Edge *e = _vertices[n].root_edge; e; e = e->next) { length_min = min(e->length, length_min); } } for(int n = 0; n < _nb_vertices; n++) { - for(Edge *e = vertices[n].root_edge; e; e = e->next) { + for(Edge *e = _vertices[n].root_edge; e; e = e->next) { e->work_length = e->length - length_min; } } } -void MTPGraph::update_work_length() { - for(int n = 0; n < _nb_vertices; n++) { - scalar_t d = vertices[n].distance_from_source; - for(Edge *e = vertices[n].root_edge; e; e = e->next) { - e->work_length += d - e->terminal_vertex->distance_from_source; - } +void MTPGraph::update_work_lengths() { + for(int k = 0; k < _nb_edges; k++) { + Edge *e = _edges + k; + e->work_length += e->terminal_vertex->distance_from_source - e->terminal_vertex->distance_from_source; } } -void MTPGraph::find_shortest_path(Vertex **_front, Vertex **_new_front) { - Vertex **tmp_front; - int tmp_front_size; - Vertex *v, *tv; - scalar_t d; - +void MTPGraph::force_positive_work_lengths() { #ifdef VERBOSE scalar_t residual_error = 0.0; #endif for(int n = 0; n < _nb_vertices; n++) { - for(Edge *e = vertices[n].root_edge; e; e = e->next) { + for(Edge *e = _vertices[n].root_edge; e; e = e->next) { if(e->work_length < 0) { #ifdef VERBOSE residual_error -= e->work_length; @@ -172,12 +184,20 @@ void MTPGraph::find_shortest_path(Vertex **_front, Vertex **_new_front) { #ifdef VERBOSE cerr << "residual_error " << residual_error << endl; #endif +} + +// This method does not change the edge occupation. It update +// distance_from_source and best_pred_edge_to_source. +void MTPGraph::find_shortest_path(Vertex **_front, Vertex **_new_front) { + Vertex **tmp_front; + int tmp_front_size; + Vertex *v, *tv; + scalar_t d; for(int v = 0; v < _nb_vertices; v++) { - vertices[v].distance_from_source = FLT_MAX; - vertices[v].pred_vertex = 0; - vertices[v].pred_edge = 0; - vertices[v].iteration = 0; + _vertices[v].distance_from_source = FLT_MAX; + _vertices[v].best_pred_edge_to_source = 0; + _vertices[v].iteration = 0; } int iteration = 0; @@ -196,8 +216,7 @@ void MTPGraph::find_shortest_path(Vertex **_front, Vertex **_new_front) { tv = e->terminal_vertex; if(d < tv->distance_from_source) { tv->distance_from_source = d; - tv->pred_vertex = v; - tv->pred_edge = e; + tv->best_pred_edge_to_source = e; if(tv->iteration < iteration) { _new_front[_new_front_size++] = tv; tv->iteration = iteration; @@ -218,46 +237,58 @@ void MTPGraph::find_shortest_path(Vertex **_front, Vertex **_new_front) { void MTPGraph::find_best_paths(scalar_t *lengths, int *result_edge_occupation) { scalar_t total_length; + Vertex *v; + Edge *e; for(int e = 0; e < _nb_edges; e++) { - edges[e].length = lengths[e]; + _edges[e].length = lengths[e]; + _edges[e].work_length = _edges[e].length; } - initialize_work_lengths(); + // We use one iteration of find_shortest_path simply to propagate + // the distance to make all the edge lengths positive. + find_shortest_path(_front, _new_front); + update_work_lengths(); + + // #warning + // initialize_work_lengths_with_min(); do { - total_length = 0.0; + force_positive_work_lengths(); find_shortest_path(_front, _new_front); - update_work_length(); + update_work_lengths(); - // Do we reach the _sink? - if(_sink->pred_edge) { + total_length = 0.0; + // Do we reach the _sink? + if(_sink->best_pred_edge_to_source) { // If yes, compute the length of the best path - for(Vertex *v = _sink; v->pred_edge; v = v->pred_vertex) { - total_length += v->pred_edge->length; + v = _sink; + while(v->best_pred_edge_to_source) { + total_length += v->best_pred_edge_to_source->length; + v = v->best_pred_edge_to_source->origin_vertex; } - // If that length is negative if(total_length < 0.0) { +#ifdef VERBOSE + cout << "Found a path of length " << total_length << endl; +#endif // Invert all the edges along the best path - for(Vertex *v = _sink; v->pred_edge; v = v->pred_vertex) { - Edge *e = v->pred_edge; - e->terminal_vertex = v->pred_vertex; + v = _sink; + while(v->best_pred_edge_to_source) { + e = v->best_pred_edge_to_source; + v = e->origin_vertex; + e->revert(); e->occupied = 1 - e->occupied; - e->length = - e->length; - e->work_length = - e->work_length; - v->pred_vertex->del_edge(e); - v->add_edge(e); } } } + } while(total_length < 0.0); - for(int n = 0; n < _nb_vertices; n++) { - Vertex *v = &vertices[n]; - for(Edge *e = v->root_edge; e; e = e->next) { - result_edge_occupation[e->id] = e->occupied; - } + for(int k = 0; k < _nb_edges; k++) { + Edge *e = _edges + k; + if(e->occupied) { e->revert(); } + result_edge_occupation[k] = e->occupied; } }