Working version of Kruskal's algorithm. The running time is very bad though.

This commit is contained in:
Guus Sliepen 2001-10-29 13:14:57 +00:00
parent b6298e2c08
commit cc9473d8c6
2 changed files with 57 additions and 14 deletions

View file

@ -17,17 +17,17 @@
along with this program; if not, write to the Free Software
Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
$Id: graph.c,v 1.1.2.2 2001/10/28 22:42:49 guus Exp $
$Id: graph.c,v 1.1.2.3 2001/10/29 13:14:57 guus Exp $
*/
/* We need to generate two trees from the graph:
1. A minimum spanning tree for broadcasts,
2. A single-source shortest path tree for unicasts.
Actually, the first one alone would suffice but would make unicast packets
take longer routes than necessary.
For the MST algorithm we can choose from Prim's or Kruskal's. I personally
favour Kruskal's, because we make an extra AVL tree of edges sorted on
weights (metric). That tree only has to be updated when an edge is added or
@ -40,6 +40,7 @@
#include <syslog.h>
#include "config.h"
#include <string.h>
#include <avl_tree.h>
@ -50,7 +51,7 @@
#include "system.h"
/* Implementation of Kruskal's algorithm.
Running time: O(E)
Running time: O(EN)
Please note that sorting on weight is already done by add_edge().
*/
@ -62,7 +63,8 @@ void mst_kruskal(void)
connection_t *c;
int nodes = 0;
int safe_edges = 0;
int skipped;
syslog(LOG_DEBUG, _("Running Kruskal's algorithm:"));
/* Clear visited status on nodes */
@ -74,6 +76,10 @@ void mst_kruskal(void)
nodes++;
}
/* Starting point */
((edge_t *)edge_weight_tree->head->data)->from->status.visited = 1;
/* Clear MST status on connections */
for(node = connection_tree->head; node; node = node->next)
@ -84,25 +90,32 @@ void mst_kruskal(void)
/* Add safe edges */
for(node = edge_weight_tree->head; node; node = node->next)
while(safe_edges < nodes - 1)
for(skipped = 0, node = edge_weight_tree->head; node; node = node->next)
{
// Algorithm should work without this:
// if(safe_edges = nodes - 1)
// break;
e = (edge_t *)node->data;
if(e->from->status.visited && e->to->status.visited)
continue;
if(e->from->status.visited == e->to->status.visited)
{
skipped = 1;
continue;
}
e->from->status.visited = 1;
e->to->status.visited = 1;
if(e->connection)
e->connection->status.mst = 1;
safe_edges++;
safe_edges++;
syslog(LOG_DEBUG, _("Adding safe edge %s - %s weight %d"), e->from->name, e->to->name, e->weight);
if(skipped)
break;
}
syslog(LOG_DEBUG, _("Done."));
@ -125,7 +138,7 @@ void sssp_bfs(void)
int nodes = 0;
int visited = 0;
avl_tree_t *todo_tree;
syslog(LOG_DEBUG, _("Running BFS algorithm:"));
todo_tree = avl_alloc_tree(NULL, NULL);
@ -157,7 +170,7 @@ void sssp_bfs(void)
{
next = from->next;
n = (node_t *)from->data;
for(to = n->edge_tree->head; to; to = to->next)
{
e = (edge_t *)to->data;
@ -170,10 +183,13 @@ void sssp_bfs(void)
if(!check->status.visited)
{
check->status.visited = 1;
check->nexthop = (n->nexthop == myself)?n:n->nexthop;
check->nexthop = (n->nexthop == myself) ? n : n->nexthop;
check->via = check; /* FIXME: only if !(e->options & INDIRECT), otherwise use n->via */
avl_insert_before(todo_tree, todo_tree->head, to);
node = avl_alloc_node();
node->data = check;
avl_insert_before(todo_tree, from, node);
visited++;
syslog(LOG_DEBUG, _("Node %s nexthop %s via %s"), check->name, check->nexthop->name, check->via->name);
}
}
@ -183,6 +199,8 @@ void sssp_bfs(void)
syslog(LOG_DEBUG, _("Done."));
avl_free_tree(todo_tree);
if(visited != nodes)
{
syslog(LOG_ERR, _("Implementation of BFS algorithm is screwed: %d nodes, visited %d"), nodes, visited);

25
src/graph.h Normal file
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@ -0,0 +1,25 @@
/*
graph.h -- header for graph.c
Copyright (C) 2001 Guus Sliepen <guus@sliepen.warande.net>,
2001 Ivo Timmermans <itimmermans@bigfoot.com>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
$Id: graph.h,v 1.1.2.1 2001/10/29 13:14:57 guus Exp $
*/
extern void mst_kruskal(void);
extern void mst_prim(void);
extern void sssp_bfs(void);