/*! \brief Find a path (minimum number of edges) from 'from' to 'to' using only edges in 'edges'. Precisely, edge with id I is used if edges[abs(i)] == 1. List stores the indices of lines on the path. Method return number of edges or -1 if no path exist. \param graph input graph \param from 'from' position \param to 'to' position \param edges list of available edges \param[out] list list of edges \return number of edges \return -1 on failure */ int NetA_find_path(dglGraph_s * graph, int from, int to, int *edges, struct ilist *list) { dglInt32_t **prev, *queue; dglEdgesetTraverser_s et; char *vis; int begin, end, cur, nnodes; nnodes = dglGet_NodeCount(graph); prev = (dglInt32_t **) G_calloc(nnodes + 1, sizeof(dglInt32_t *)); queue = (dglInt32_t *) G_calloc(nnodes + 1, sizeof(dglInt32_t)); vis = (char *)G_calloc(nnodes + 1, sizeof(char)); if (!prev || !queue || !vis) { G_fatal_error(_("Out of memory")); return -1; } Vect_reset_list(list); begin = 0; end = 1; vis[from] = 'y'; queue[0] = from; prev[from] = NULL; while (begin != end) { dglInt32_t vertex = queue[begin++]; if (vertex == to) break; dglInt32_t *edge, *node = dglGetNode(graph, vertex); dglEdgeset_T_Initialize(&et, graph, dglNodeGet_OutEdgeset(graph, node)); for (edge = dglEdgeset_T_First(&et); edge; edge = dglEdgeset_T_Next(&et)) { dglInt32_t id = abs(dglEdgeGet_Id(graph, edge)); dglInt32_t to = dglNodeGet_Id(graph, dglEdgeGet_Tail(graph, edge)); if (edges[id] && !vis[to]) { vis[to] = 'y'; prev[to] = edge; queue[end++] = to; } } dglEdgeset_T_Release(&et); } G_free(queue); if (!vis[to]) { G_free(prev); G_free(vis); return -1; } cur = to; while (prev[cur] != NULL) { Vect_list_append(list, abs(dglEdgeGet_Id(graph, prev[cur]))); cur = dglNodeGet_Id(graph, dglEdgeGet_Head(graph, prev[cur])); } G_free(prev); G_free(vis); return list->n_values; }
/*! \brief Computes weakly connected components \param graph input graph \param[out] component array of component ids \return number of components \return -1 on failure */ int NetA_weakly_connected_components(dglGraph_s * graph, int *component) { int nnodes, i; dglInt32_t *stack; int stack_size, components; dglInt32_t *cur_node; dglNodeTraverser_s nt; int have_node_costs; dglInt32_t ncost; if (graph->Version < 2) { G_warning("Directed graph must be version 2 or 3 for NetA_weakly_connected_components()"); return -1; } components = 0; nnodes = dglGet_NodeCount(graph); stack = (dglInt32_t *) G_calloc(nnodes + 1, sizeof(dglInt32_t)); if (!stack) { G_fatal_error(_("Out of memory")); return -1; } for (i = 1; i <= nnodes; i++) component[i] = 0; ncost = 0; have_node_costs = dglGet_NodeAttrSize(graph); dglNode_T_Initialize(&nt, graph); for (cur_node = dglNode_T_First(&nt); cur_node; cur_node = dglNode_T_Next(&nt)) { dglInt32_t cur_node_id = dglNodeGet_Id(graph, cur_node); if (!component[cur_node_id]) { stack[0] = cur_node_id; stack_size = 1; component[cur_node_id] = ++components; while (stack_size) { dglInt32_t *node, *edgeset, *edge; dglEdgesetTraverser_s et; node = dglGetNode(graph, stack[--stack_size]); edgeset = dglNodeGet_OutEdgeset(graph, node); dglEdgeset_T_Initialize(&et, graph, edgeset); for (edge = dglEdgeset_T_First(&et); edge; edge = dglEdgeset_T_Next(&et)) { dglInt32_t to; to = dglNodeGet_Id(graph, dglEdgeGet_Tail(graph, edge)); if (!component[to]) { component[to] = components; /* do not go through closed nodes */ if (have_node_costs) { memcpy(&ncost, dglNodeGet_Attr(graph, dglEdgeGet_Tail(graph, edge)), sizeof(ncost)); } if (ncost >= 0) stack[stack_size++] = to; } } dglEdgeset_T_Release(&et); edgeset = dglNodeGet_InEdgeset(graph, node); dglEdgeset_T_Initialize(&et, graph, edgeset); for (edge = dglEdgeset_T_First(&et); edge; edge = dglEdgeset_T_Next(&et)) { dglInt32_t to; to = dglNodeGet_Id(graph, dglEdgeGet_Head(graph, edge)); if (!component[to]) { component[to] = components; /* do not go through closed nodes */ if (have_node_costs) { memcpy(&ncost, dglNodeGet_Attr(graph, dglEdgeGet_Tail(graph, edge)), sizeof(ncost)); } if (ncost >= 0) stack[stack_size++] = to; } } dglEdgeset_T_Release(&et); } } } dglNode_T_Release(&nt); G_free(stack); return components; }
int main(int argc, char *argv[]) { struct Map_info In, Out; static struct line_pnts *Points; struct line_cats *Cats, *TCats; struct GModule *module; /* GRASS module for parsing arguments */ struct Option *map_in, *map_out; struct Option *catf_opt, *fieldf_opt, *wheref_opt; struct Option *catt_opt, *fieldt_opt, *wheret_opt, *typet_opt; struct Option *afield_opt, *nfield_opt, *abcol, *afcol, *ncol, *atype_opt; struct Flag *geo_f; int with_z, geo; int atype, ttype; struct varray *varrayf, *varrayt; int flayer, tlayer; int afield, nfield; dglGraph_s *graph; struct ilist *nodest; int i, nnodes, nlines; int *dst, *nodes_to_features; int from_nr; /* 'from' features not reachable */ dglInt32_t **prev; struct line_cats **on_path; char buf[2000]; /* Attribute table */ dbString sql; dbDriver *driver; struct field_info *Fi; /* initialize GIS environment */ G_gisinit(argv[0]); /* reads grass env, stores program name to G_program_name() */ /* initialize module */ module = G_define_module(); G_add_keyword(_("vector")); G_add_keyword(_("network")); G_add_keyword(_("shortest path")); module->label = _("Computes shortest distance via the network between " "the given sets of features."); module->description = _("Finds the shortest paths from each 'from' point to the nearest 'to' feature " "and various information about this relation are uploaded to the attribute table."); /* Define the different options as defined in gis.h */ map_in = G_define_standard_option(G_OPT_V_INPUT); map_out = G_define_standard_option(G_OPT_V_OUTPUT); afield_opt = G_define_standard_option(G_OPT_V_FIELD); afield_opt->key = "alayer"; afield_opt->answer = "1"; afield_opt->label = _("Arc layer"); afield_opt->guisection = _("Cost"); atype_opt = G_define_standard_option(G_OPT_V_TYPE); atype_opt->options = "line,boundary"; atype_opt->answer = "line,boundary"; atype_opt->label = _("Arc type"); atype_opt->guisection = _("Cost"); nfield_opt = G_define_standard_option(G_OPT_V_FIELD); nfield_opt->key = "nlayer"; nfield_opt->answer = "2"; nfield_opt->label = _("Node layer"); nfield_opt->guisection = _("Cost"); fieldf_opt = G_define_standard_option(G_OPT_V_FIELD); fieldf_opt->key = "from_layer"; fieldf_opt->label = _("From layer number or name"); fieldf_opt->guisection = _("From"); catf_opt = G_define_standard_option(G_OPT_V_CATS); catf_opt->key = "from_cats"; catf_opt->label = _("From category values"); catf_opt->guisection = _("From"); wheref_opt = G_define_standard_option(G_OPT_DB_WHERE); wheref_opt->key = "from_where"; wheref_opt->label = _("From WHERE conditions of SQL statement without 'where' keyword"); wheref_opt->guisection = _("From"); fieldt_opt = G_define_standard_option(G_OPT_V_FIELD); fieldt_opt->key = "to_layer"; fieldt_opt->description = _("To layer number or name"); fieldt_opt->guisection = _("To"); typet_opt = G_define_standard_option(G_OPT_V_TYPE); typet_opt->key = "to_type"; typet_opt->options = "point,line,boundary"; typet_opt->answer = "point"; typet_opt->description = _("To feature type"); typet_opt->guisection = _("To"); catt_opt = G_define_standard_option(G_OPT_V_CATS); catt_opt->key = "to_cats"; catt_opt->label = _("To category values"); catt_opt->guisection = _("To"); wheret_opt = G_define_standard_option(G_OPT_DB_WHERE); wheret_opt->key = "to_where"; wheret_opt->label = _("To WHERE conditions of SQL statement without 'where' keyword"); wheret_opt->guisection = _("To"); afcol = G_define_standard_option(G_OPT_DB_COLUMN); afcol->key = "afcolumn"; afcol->required = NO; afcol->description = _("Arc forward/both direction(s) cost column (number)"); afcol->guisection = _("Cost"); abcol = G_define_standard_option(G_OPT_DB_COLUMN); abcol->key = "abcolumn"; abcol->required = NO; abcol->description = _("Arc backward direction cost column (number)"); abcol->guisection = _("Cost"); ncol = G_define_standard_option(G_OPT_DB_COLUMN); ncol->key = "ncolumn"; ncol->required = NO; ncol->description = _("Node cost column (number)"); ncol->guisection = _("Cost"); geo_f = G_define_flag(); geo_f->key = 'g'; geo_f->description = _("Use geodesic calculation for longitude-latitude locations"); /* options and flags parser */ if (G_parser(argc, argv)) exit(EXIT_FAILURE); atype = Vect_option_to_types(atype_opt); ttype = Vect_option_to_types(typet_opt); Points = Vect_new_line_struct(); Cats = Vect_new_cats_struct(); TCats = Vect_new_cats_struct(); Vect_check_input_output_name(map_in->answer, map_out->answer, G_FATAL_EXIT); Vect_set_open_level(2); if (1 > Vect_open_old(&In, map_in->answer, "")) G_fatal_error(_("Unable to open vector map <%s>"), map_in->answer); with_z = Vect_is_3d(&In); if (0 > Vect_open_new(&Out, map_out->answer, with_z)) { Vect_close(&In); G_fatal_error(_("Unable to create vector map <%s>"), map_out->answer); } if (geo_f->answer) { geo = 1; if (G_projection() != PROJECTION_LL) G_warning(_("The current projection is not longitude-latitude")); } else geo = 0; nnodes = Vect_get_num_nodes(&In); nlines = Vect_get_num_lines(&In); dst = (int *)G_calloc(nnodes + 1, sizeof(int)); prev = (dglInt32_t **) G_calloc(nnodes + 1, sizeof(dglInt32_t *)); nodes_to_features = (int *)G_calloc(nnodes + 1, sizeof(int)); on_path = (struct line_cats **)G_calloc(nlines + 1, sizeof(struct line_cats *)); if (!dst || !prev || !nodes_to_features || !on_path) G_fatal_error(_("Out of memory")); for (i = 1; i <= nlines; i++) on_path[i] = Vect_new_cats_struct(); /*initialise varrays and nodes list appropriatelly */ afield = Vect_get_field_number(&In, afield_opt->answer); nfield = Vect_get_field_number(&In, nfield_opt->answer); flayer = atoi(fieldf_opt->answer); tlayer = atoi(fieldt_opt->answer); if (NetA_initialise_varray(&In, flayer, GV_POINT, wheref_opt->answer, catf_opt->answer, &varrayf) <= 0) { G_fatal_error(_("No 'from' features selected. " "Please check options '%s', '%s', '%s'."), fieldf_opt->key, wheref_opt->key, catf_opt->key); } if (NetA_initialise_varray(&In, tlayer, ttype, wheret_opt->answer, catt_opt->answer, &varrayt) <= 0) { G_fatal_error(_("No 'to' features selected. " "Please check options '%s', '%s', '%s'."), fieldt_opt->key, wheret_opt->key, catt_opt->key); } nodest = Vect_new_list(); NetA_varray_to_nodes(&In, varrayt, nodest, nodes_to_features); if (nodest->n_values == 0) G_fatal_error(_("No 'to' features")); if (0 != Vect_net_build_graph(&In, atype, afield, nfield, afcol->answer, abcol->answer, ncol->answer, geo, 0)) G_fatal_error(_("Unable to build graph for vector map <%s>"), Vect_get_full_name(&In)); graph = Vect_net_get_graph(&In); NetA_distance_from_points(graph, nodest, dst, prev); /* Create table */ Fi = Vect_default_field_info(&Out, 1, NULL, GV_1TABLE); Vect_map_add_dblink(&Out, 1, NULL, Fi->table, GV_KEY_COLUMN, Fi->database, Fi->driver); db_init_string(&sql); driver = db_start_driver_open_database(Fi->driver, Fi->database); if (driver == NULL) G_fatal_error(_("Unable to open database <%s> by driver <%s>"), Fi->database, Fi->driver); db_set_error_handler_driver(driver); sprintf(buf, "create table %s ( cat integer, tcat integer, dist double precision)", Fi->table); db_set_string(&sql, buf); G_debug(2, db_get_string(&sql)); if (db_execute_immediate(driver, &sql) != DB_OK) { G_fatal_error(_("Unable to create table: '%s'"), db_get_string(&sql)); } if (db_create_index2(driver, Fi->table, GV_KEY_COLUMN) != DB_OK) G_warning(_("Cannot create index")); if (db_grant_on_table (driver, Fi->table, DB_PRIV_SELECT, DB_GROUP | DB_PUBLIC) != DB_OK) G_fatal_error(_("Cannot grant privileges on table <%s>"), Fi->table); db_begin_transaction(driver); Vect_copy_head_data(&In, &Out); Vect_hist_copy(&In, &Out); Vect_hist_command(&Out); from_nr = 0; for (i = 1; i <= nlines; i++) { if (varrayf->c[i]) { int type = Vect_read_line(&In, Points, Cats, i); int node, tcat, cat; double cost; dglInt32_t *vertex, vertex_id; if (!Vect_cat_get(Cats, flayer, &cat)) continue; if (type & GV_POINTS) { node = Vect_find_node(&In, Points->x[0], Points->y[0], Points->z[0], 0, 0); } else { Vect_get_line_nodes(&In, i, &node, NULL); } if (node < 1) continue; if (dst[node] < 0) { /* unreachable */ from_nr++; continue; } cost = dst[node] / (double)In.dgraph.cost_multip; vertex = dglGetNode(graph, node); vertex_id = node; while (prev[vertex_id] != NULL) { Vect_cat_set(on_path [abs(dglEdgeGet_Id(graph, prev[vertex_id]))], 1, cat); vertex = dglEdgeGet_Head(graph, prev[vertex_id]); vertex_id = dglNodeGet_Id(graph, vertex); } G_debug(3, "read line %d, vertex id %d", nodes_to_features[vertex_id], (int)vertex_id); Vect_read_line(&In, NULL, TCats, nodes_to_features[vertex_id]); if (!Vect_cat_get(TCats, tlayer, &tcat)) continue; Vect_write_line(&Out, type, Points, Cats); sprintf(buf, "insert into %s values (%d, %d, %f)", Fi->table, cat, tcat, cost); db_set_string(&sql, buf); G_debug(3, db_get_string(&sql)); if (db_execute_immediate(driver, &sql) != DB_OK) { G_fatal_error(_("Cannot insert new record: %s"), db_get_string(&sql)); }; } } for (i = 1; i <= nlines; i++) if (on_path[i]->n_cats > 0) { int type = Vect_read_line(&In, Points, NULL, i); Vect_write_line(&Out, type, Points, on_path[i]); } db_commit_transaction(driver); db_close_database_shutdown_driver(driver); Vect_build(&Out); Vect_close(&In); Vect_close(&Out); for (i = 1; i <= nlines; i++) Vect_destroy_cats_struct(on_path[i]); G_free(on_path); G_free(nodes_to_features); G_free(dst); G_free(prev); if (from_nr) G_warning(_n("%d 'from' feature was not reachable", "%d 'from' features were not reachable", from_nr), from_nr); exit(EXIT_SUCCESS); }
/*! \brief Computes strongly connected components with Kosaraju's two-pass algorithm \param graph input graph \param[out] component array of component ids \return number of components \return -1 on failure */ int NetA_strongly_connected_components(dglGraph_s * graph, int *component) { int nnodes, i; dglInt32_t *stack, *order; int *processed; int stack_size, order_size, components; dglInt32_t *cur_node; dglNodeTraverser_s nt; int have_node_costs; dglInt32_t ncost; if (graph->Version < 2) { G_warning("Directed graph must be version 2 or 3 for NetA_strongly_connected_components()"); return -1; } components = 0; nnodes = dglGet_NodeCount(graph); stack = (dglInt32_t *) G_calloc(nnodes + 1, sizeof(dglInt32_t)); order = (dglInt32_t *) G_calloc(nnodes + 1, sizeof(dglInt32_t)); processed = (int *)G_calloc(nnodes + 1, sizeof(int)); if (!stack || !order || !processed) { G_fatal_error(_("Out of memory")); return -1; } for (i = 1; i <= nnodes; i++) { component[i] = 0; } ncost = 0; have_node_costs = dglGet_NodeAttrSize(graph); order_size = 0; dglNode_T_Initialize(&nt, graph); for (cur_node = dglNode_T_First(&nt); cur_node; cur_node = dglNode_T_Next(&nt)) { dglInt32_t cur_node_id = dglNodeGet_Id(graph, cur_node); if (!component[cur_node_id]) { component[cur_node_id] = --components; stack[0] = cur_node_id; stack_size = 1; while (stack_size) { dglInt32_t *node, *edgeset, *edge; dglEdgesetTraverser_s et; dglInt32_t node_id = stack[stack_size - 1]; if (processed[node_id]) { stack_size--; order[order_size++] = node_id; continue; } processed[node_id] = 1; node = dglGetNode(graph, node_id); edgeset = dglNodeGet_OutEdgeset(graph, node); dglEdgeset_T_Initialize(&et, graph, edgeset); for (edge = dglEdgeset_T_First(&et); edge; edge = dglEdgeset_T_Next(&et)) { dglInt32_t to; to = dglNodeGet_Id(graph, dglEdgeGet_Tail(graph, edge)); if (!component[to]) { component[to] = components; /* do not go through closed nodes */ if (have_node_costs) { memcpy(&ncost, dglNodeGet_Attr(graph, dglEdgeGet_Tail(graph, edge)), sizeof(ncost)); } if (ncost < 0) processed[to] = 1; stack[stack_size++] = to; } } dglEdgeset_T_Release(&et); } } } dglNode_T_Release(&nt); components = 0; dglNode_T_Initialize(&nt, graph); while (order_size) { dglInt32_t cur_node_id = order[--order_size]; int cur_comp = component[cur_node_id]; if (cur_comp < 1) { component[cur_node_id] = ++components; stack[0] = cur_node_id; stack_size = 1; while (stack_size) { dglInt32_t *node, *edgeset, *edge; dglEdgesetTraverser_s et; dglInt32_t node_id = stack[--stack_size]; node = dglGetNode(graph, node_id); edgeset = dglNodeGet_InEdgeset(graph, node); dglEdgeset_T_Initialize(&et, graph, edgeset); for (edge = dglEdgeset_T_First(&et); edge; edge = dglEdgeset_T_Next(&et)) { dglInt32_t to; to = dglNodeGet_Id(graph, dglEdgeGet_Head(graph, edge)); if (component[to] == cur_comp) { component[to] = components; /* do not go through closed nodes */ if (have_node_costs) { memcpy(&ncost, dglNodeGet_Attr(graph, dglEdgeGet_Head(graph, edge)), sizeof(ncost)); } if (ncost >= 0) stack[stack_size++] = to; } } dglEdgeset_T_Release(&et); } } } dglNode_T_Release(&nt); G_free(stack); G_free(order); G_free(processed); return components; }