2 graph.c -- graph algorithms
3 Copyright (C) 2001-2002 Guus Sliepen <guus@sliepen.warande.net>,
4 2001-2002 Ivo Timmermans <itimmermans@bigfoot.com>
6 This program is free software; you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation; either version 2 of the License, or
9 (at your option) any later version.
11 This program is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
16 You should have received a copy of the GNU General Public License
17 along with this program; if not, write to the Free Software
18 Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
20 $Id: graph.c,v 1.1.2.11 2002/03/24 16:28:27 guus Exp $
23 /* We need to generate two trees from the graph:
25 1. A minimum spanning tree for broadcasts,
26 2. A single-source shortest path tree for unicasts.
28 Actually, the first one alone would suffice but would make unicast packets
29 take longer routes than necessary.
31 For the MST algorithm we can choose from Prim's or Kruskal's. I personally
32 favour Kruskal's, because we make an extra AVL tree of edges sorted on
33 weights (metric). That tree only has to be updated when an edge is added or
34 removed, and during the MST algorithm we just have go linearly through that
35 tree, adding safe edges until #edges = #nodes - 1. The implementation here
36 however is not so fast, because I tried to avoid having to make a forest and
39 For the SSSP algorithm Dijkstra's seems to be a nice choice. Currently a
40 simple breadth-first search is presented here.
42 The SSSP algorithm will also be used to determine whether nodes are directly,
43 indirectly or not reachable from the source. It will also set the correct
44 destination address and port of a node if possible.
53 #if defined(HAVE_FREEBSD) || defined(HAVE_OPENBSD)
54 #include <sys/param.h>
56 #include <netinet/in.h>
64 #include "connection.h"
69 /* Implementation of Kruskal's algorithm.
71 Please note that sorting on weight is already done by add_edge().
74 void mst_kruskal(void)
76 avl_node_t *node, *next;
84 /* Clear MST status on connections */
86 for(node = connection_tree->head; node; node = node->next)
88 c = (connection_t *)node->data;
92 /* Do we have something to do at all? */
94 if(!edge_weight_tree->head)
97 if(debug_lvl >= DEBUG_SCARY_THINGS)
98 syslog(LOG_DEBUG, "Running Kruskal's algorithm:");
100 /* Clear visited status on nodes */
102 for(node = node_tree->head; node; node = node->next)
104 n = (node_t *)node->data;
105 n->status.visited = 0;
111 ((edge_t *)edge_weight_tree->head->data)->from.node->status.visited = 1;
115 for(skipped = 0, node = edge_weight_tree->head; node; node = next)
118 e = (edge_t *)node->data;
120 if(e->from.node->status.visited == e->to.node->status.visited)
126 e->from.node->status.visited = 1;
127 e->to.node->status.visited = 1;
129 e->connection->status.mst = 1;
133 if(debug_lvl >= DEBUG_SCARY_THINGS)
134 syslog(LOG_DEBUG, " Adding edge %s - %s weight %d", e->from.node->name, e->to.node->name, e->weight);
138 next = edge_weight_tree->head;
143 if(debug_lvl >= DEBUG_SCARY_THINGS)
144 syslog(LOG_DEBUG, "Done, counted %d nodes and %d safe edges.", nodes, safe_edges);
147 /* Implementation of a simple breadth-first search algorithm.
153 avl_node_t *node, *from, *next, *to;
156 halfconnection_t to_hc, from_hc;
157 avl_tree_t *todo_tree;
161 todo_tree = avl_alloc_tree(NULL, NULL);
163 /* Clear visited status on nodes */
165 for(node = node_tree->head; node; node = node->next)
167 n = (node_t *)node->data;
168 n->status.visited = 0;
169 n->status.indirect = 1;
172 /* Begin with myself */
174 myself->status.visited = 1;
175 myself->status.indirect = 0;
176 myself->nexthop = myself;
177 myself->via = myself;
178 node = avl_alloc_node();
180 avl_insert_top(todo_tree, node);
182 /* Loop while todo_tree is filled */
184 while(todo_tree->head)
186 for(from = todo_tree->head; from; from = next) /* "from" is the node from which we start */
189 n = (node_t *)from->data;
191 for(to = n->edge_tree->head; to; to = to->next) /* "to" is the edge connected to "from" */
193 e = (edge_t *)to->data;
195 if(e->from.node == n) /* "from_hc" is the halfconnection with .node == from */
196 to_hc = e->to, from_hc = e->from;
198 to_hc = e->from, from_hc = e->to;
204 ------(n)from_hc-----to_hc
208 n->address is set to the to_hc.udpaddress of the edge left of n.
209 We are currently examining the edge right of n:
211 - If from_hc.udpaddress != n->address, then to_hc.node is probably
212 not reachable for the nodes left of n. We do as if the indirectdata
213 flag is set on edge e.
214 - If edge e provides for better reachability of to_hc.node, update
215 to_hc.node and (re)add it to the todo_tree to (re)examine the reachability
219 indirect = n->status.indirect || e->options & OPTION_INDIRECT || ((n != myself) && sockaddrcmp(&n->address, &from_hc.udpaddress));
221 if(to_hc.node->status.visited && (!to_hc.node->status.indirect || indirect))
224 to_hc.node->status.visited = 1;
225 to_hc.node->status.indirect = indirect;
226 to_hc.node->nexthop = (n->nexthop == myself) ? to_hc.node : n->nexthop;
227 to_hc.node->via = indirect ? n->via : to_hc.node;
228 to_hc.node->options = e->options;
229 if(sockaddrcmp(&to_hc.node->address, &to_hc.udpaddress))
231 node = avl_unlink(node_udp_tree, to_hc.node);
232 to_hc.node->address = to_hc.udpaddress;
233 if(to_hc.node->hostname)
234 free(to_hc.node->hostname);
235 to_hc.node->hostname = sockaddr2hostname(&to_hc.udpaddress);
236 avl_insert_node(node_udp_tree, node);
238 node = avl_alloc_node();
239 node->data = to_hc.node;
240 avl_insert_before(todo_tree, from, node);
243 avl_delete_node(todo_tree, from);
247 avl_free_tree(todo_tree);
249 /* Check reachability status. */
251 for(node = node_tree->head; node; node = next)
254 n = (node_t *)node->data;
256 if(n->status.visited)
258 if(!n->status.reachable)
260 if(debug_lvl >= DEBUG_TRAFFIC)
261 syslog(LOG_DEBUG, _("Node %s (%s) became reachable"), n->name, n->hostname);
262 n->status.reachable = 1;
263 asprintf(&name, "hosts/%s-up", n->name);
264 execute_script(name);
270 if(n->status.reachable)
272 if(debug_lvl >= DEBUG_TRAFFIC)
273 syslog(LOG_DEBUG, _("Node %s (%s) became unreachable"), n->name, n->hostname);
274 n->status.reachable = 0;
275 n->status.validkey = 0;
276 n->status.waitingforkey = 0;
278 asprintf(&name, "hosts/%s-down", n->name);
279 execute_script(name);