3
# This program is free software; you can redistribute it and/or modify
4
# it under the terms of the GNU General Public License as published by
5
# the Free Software Foundation; either version 2 of the License, or
6
# (at your option) any later version.
8
# This program is distributed in the hope that it will be useful,
9
# but WITHOUT ANY WARRANTY; without even the implied warranty of
10
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
11
# GNU General Public License for more details.
13
# You should have received a copy of the GNU General Public License
14
# along with this program; if not, write to the Free Software
15
# Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17
def max_distance(node, ancestors, distances, root_descendants):
18
"""Calculate the max distance to an ancestor.
19
Return None if not all possible ancestors have known distances"""
22
best = distances[node]
23
for ancestor in ancestors[node]:
24
# skip ancestors we will never traverse:
25
if root_descendants is not None and ancestor not in root_descendants:
27
# An ancestor which is not listed in ancestors will never be in
28
# distances, so we pretend it never existed.
29
if ancestor not in ancestors:
31
if ancestor not in distances:
33
if best is None or distances[ancestor] > best:
34
best = distances[ancestor] + 1
38
def node_distances(graph, ancestors, start, root_descendants=None):
39
"""Produce a list of nodes, sorted by distance from a start node.
40
This is an algorithm devised by Aaron Bentley, because applying Dijkstra
41
backwards seemed too complicated.
43
For each node, we walk its descendants. If all the descendant's ancestors
44
have a max-distance-to-start, (excluding ones that can never reach start),
45
we calculate their max-distance-to-start, and schedule their descendants.
47
So when a node's last parent acquires a distance, it will acquire a
48
distance on the next iteration.
50
Once we know the max distances for all nodes, we can return a list sorted
51
by distance, farthest first.
53
distances = {start: 0}
58
line_descendants = graph[line]
59
assert line not in line_descendants, "%s refers to itself" % line
60
for descendant in line_descendants:
61
distance = max_distance(descendant, ancestors, distances,
65
distances[descendant] = distance
66
new_lines.add(descendant)
70
def farthest_nodes(graph, ancestors, start):
74
distances = node_distances(graph, ancestors, start)
75
node_list = distances.keys()
76
node_list.sort(key=by_distance, reverse=True)
79
def all_descendants(descendants, start):
85
if line not in descendants:
87
for descendant in descendants[line]:
88
if descendant in result:
90
result.add(descendant)
91
new_lines.add(descendant)