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English.rb
5.59
KB
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2009-10-02 10:45
abbrev.rb
2.57
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2011-05-18 21:19
base64.rb
2.63
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2009-10-02 10:45
benchmark.rb
18
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2011-06-28 06:09
cgi.rb
9.3
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2011-05-16 21:21
cmath.rb
7.22
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2011-07-30 14:53
complex.rb
380
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2009-08-16 15:34
csv.rb
82.66
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2011-07-21 21:40
date.rb
946
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2011-05-21 12:25
debug.rb
23.23
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2011-06-28 11:45
delegate.rb
9.74
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2011-07-27 19:56
digest.rb
2.24
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2011-05-16 20:52
dl.rb
176
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2010-06-12 15:28
drb.rb
19
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2009-10-02 10:45
e2mmap.rb
3.8
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2011-05-19 00:07
erb.rb
25.72
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2012-12-13 05:24
expect.rb
1.33
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2011-08-26 23:54
fiddle.rb
928
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2011-08-16 00:51
fileutils.rb
45.32
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2012-02-25 08:11
find.rb
2.03
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2011-05-18 21:19
forwardable.rb
7.64
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2011-05-22 02:14
getoptlong.rb
15.38
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2011-05-19 00:07
gserver.rb
8.83
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2013-10-31 14:40
ipaddr.rb
24.92
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2013-04-11 02:31
irb.rb
8.34
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2011-05-19 00:07
json.rb
1.74
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2011-08-30 02:25
kconv.rb
5.74
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2010-12-07 11:47
logger.rb
20.85
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2011-05-19 00:07
mathn.rb
6.52
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2011-08-26 23:54
matrix.rb
47.65
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2011-07-09 19:11
mkmf.rb
68.9
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2014-02-06 05:20
monitor.rb
6.94
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2011-06-17 22:33
mutex_m.rb
1.61
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2011-05-19 00:07
observer.rb
5.69
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2011-05-16 21:53
open-uri.rb
25.84
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2014-02-24 03:43
open3.rb
20.64
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2011-05-18 21:19
openssl.rb
547
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2011-07-25 06:38
optparse.rb
51.13
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2014-02-14 04:52
ostruct.rb
6.49
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2012-02-24 14:49
pathname.rb
14.21
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2011-08-26 23:54
pp.rb
13.31
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2010-08-01 14:09
prettyprint.rb
9.63
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2011-08-02 15:25
prime.rb
13.98
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2011-06-01 00:21
profile.rb
205
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2009-10-02 10:45
profiler.rb
1.59
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2009-10-02 10:45
pstore.rb
15.81
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2011-10-10 23:14
psych.rb
9.82
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2012-08-07 20:50
rake.rb
2.02
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2011-06-29 03:09
rational.rb
308
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2009-09-24 00:42
rdoc.rb
4.29
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2013-02-06 08:00
resolv-replace.rb
1.74
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2010-10-29 22:02
resolv.rb
59.91
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2014-02-14 06:56
ripper.rb
91
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2009-10-02 10:45
rss.rb
2.84
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2011-05-11 10:22
rubygems.rb
34.13
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2013-12-22 04:38
scanf.rb
23.53
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2011-05-20 12:22
securerandom.rb
8.46
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2012-05-07 11:25
set.rb
29.91
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2012-02-10 08:28
shell.rb
5.9
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2011-05-19 00:07
shellwords.rb
3.88
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2012-02-12 07:51
singleton.rb
4.02
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2011-05-18 14:09
socket.rb
23.22
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2014-01-30 12:04
syck.rb
13.91
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2010-07-19 04:54
sync.rb
6.87
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2011-06-29 03:09
tempfile.rb
10.42
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2013-10-31 14:44
thread.rb
6.59
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2014-02-14 03:48
thwait.rb
3.38
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2011-06-29 03:09
time.rb
17.03
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2013-10-31 14:06
timeout.rb
3.26
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2013-04-02 04:09
tmpdir.rb
3.72
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2011-05-18 21:19
tracer.rb
6.63
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2011-06-29 13:19
tsort.rb
6.79
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2009-03-06 04:23
ubygems.rb
268
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2009-10-02 10:45
un.rb
8.32
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2011-05-19 00:07
uri.rb
3.07
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2011-05-13 20:03
weakref.rb
2.29
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2011-08-26 23:54
webrick.rb
6.8
KB
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2011-05-10 23:37
yaml.rb
2.58
KB
-rw-r--r--
2013-05-29 12:00
Save
Rename
#-- # tsort.rb - provides a module for topological sorting and strongly connected components. #++ # # # TSort implements topological sorting using Tarjan's algorithm for # strongly connected components. # # TSort is designed to be able to be used with any object which can be # interpreted as a directed graph. # # TSort requires two methods to interpret an object as a graph, # tsort_each_node and tsort_each_child. # # * tsort_each_node is used to iterate for all nodes over a graph. # * tsort_each_child is used to iterate for child nodes of a given node. # # The equality of nodes are defined by eql? and hash since # TSort uses Hash internally. # # == A Simple Example # # The following example demonstrates how to mix the TSort module into an # existing class (in this case, Hash). Here, we're treating each key in # the hash as a node in the graph, and so we simply alias the required # #tsort_each_node method to Hash's #each_key method. For each key in the # hash, the associated value is an array of the node's child nodes. This # choice in turn leads to our implementation of the required #tsort_each_child # method, which fetches the array of child nodes and then iterates over that # array using the user-supplied block. # # require 'tsort' # # class Hash # include TSort # alias tsort_each_node each_key # def tsort_each_child(node, &block) # fetch(node).each(&block) # end # end # # {1=>[2, 3], 2=>[3], 3=>[], 4=>[]}.tsort # #=> [3, 2, 1, 4] # # {1=>[2], 2=>[3, 4], 3=>[2], 4=>[]}.strongly_connected_components # #=> [[4], [2, 3], [1]] # # == A More Realistic Example # # A very simple `make' like tool can be implemented as follows: # # require 'tsort' # # class Make # def initialize # @dep = {} # @dep.default = [] # end # # def rule(outputs, inputs=[], &block) # triple = [outputs, inputs, block] # outputs.each {|f| @dep[f] = [triple]} # @dep[triple] = inputs # end # # def build(target) # each_strongly_connected_component_from(target) {|ns| # if ns.length != 1 # fs = ns.delete_if {|n| Array === n} # raise TSort::Cyclic.new("cyclic dependencies: #{fs.join ', '}") # end # n = ns.first # if Array === n # outputs, inputs, block = n # inputs_time = inputs.map {|f| File.mtime f}.max # begin # outputs_time = outputs.map {|f| File.mtime f}.min # rescue Errno::ENOENT # outputs_time = nil # end # if outputs_time == nil || # inputs_time != nil && outputs_time <= inputs_time # sleep 1 if inputs_time != nil && inputs_time.to_i == Time.now.to_i # block.call # end # end # } # end # # def tsort_each_child(node, &block) # @dep[node].each(&block) # end # include TSort # end # # def command(arg) # print arg, "\n" # system arg # end # # m = Make.new # m.rule(%w[t1]) { command 'date > t1' } # m.rule(%w[t2]) { command 'date > t2' } # m.rule(%w[t3]) { command 'date > t3' } # m.rule(%w[t4], %w[t1 t3]) { command 'cat t1 t3 > t4' } # m.rule(%w[t5], %w[t4 t2]) { command 'cat t4 t2 > t5' } # m.build('t5') # # == Bugs # # * 'tsort.rb' is wrong name because this library uses # Tarjan's algorithm for strongly connected components. # Although 'strongly_connected_components.rb' is correct but too long. # # == References # # R. E. Tarjan, "Depth First Search and Linear Graph Algorithms", # <em>SIAM Journal on Computing</em>, Vol. 1, No. 2, pp. 146-160, June 1972. # module TSort class Cyclic < StandardError end # # Returns a topologically sorted array of nodes. # The array is sorted from children to parents, i.e. # the first element has no child and the last node has no parent. # # If there is a cycle, TSort::Cyclic is raised. # def tsort result = [] tsort_each {|element| result << element} result end # # The iterator version of the #tsort method. # <tt><em>obj</em>.tsort_each</tt> is similar to <tt><em>obj</em>.tsort.each</tt>, but # modification of _obj_ during the iteration may lead to unexpected results. # # #tsort_each returns +nil+. # If there is a cycle, TSort::Cyclic is raised. # def tsort_each # :yields: node each_strongly_connected_component {|component| if component.size == 1 yield component.first else raise Cyclic.new("topological sort failed: #{component.inspect}") end } end # # Returns strongly connected components as an array of arrays of nodes. # The array is sorted from children to parents. # Each elements of the array represents a strongly connected component. # def strongly_connected_components result = [] each_strongly_connected_component {|component| result << component} result end # # The iterator version of the #strongly_connected_components method. # <tt><em>obj</em>.each_strongly_connected_component</tt> is similar to # <tt><em>obj</em>.strongly_connected_components.each</tt>, but # modification of _obj_ during the iteration may lead to unexpected results. # # # #each_strongly_connected_component returns +nil+. # def each_strongly_connected_component # :yields: nodes id_map = {} stack = [] tsort_each_node {|node| unless id_map.include? node each_strongly_connected_component_from(node, id_map, stack) {|c| yield c } end } nil end # # Iterates over strongly connected component in the subgraph reachable from # _node_. # # Return value is unspecified. # # #each_strongly_connected_component_from doesn't call #tsort_each_node. # def each_strongly_connected_component_from(node, id_map={}, stack=[]) # :yields: nodes minimum_id = node_id = id_map[node] = id_map.size stack_length = stack.length stack << node tsort_each_child(node) {|child| if id_map.include? child child_id = id_map[child] minimum_id = child_id if child_id && child_id < minimum_id else sub_minimum_id = each_strongly_connected_component_from(child, id_map, stack) {|c| yield c } minimum_id = sub_minimum_id if sub_minimum_id < minimum_id end } if node_id == minimum_id component = stack.slice!(stack_length .. -1) component.each {|n| id_map[n] = nil} yield component end minimum_id end # # Should be implemented by a extended class. # # #tsort_each_node is used to iterate for all nodes over a graph. # def tsort_each_node # :yields: node raise NotImplementedError.new end # # Should be implemented by a extended class. # # #tsort_each_child is used to iterate for child nodes of _node_. # def tsort_each_child(node) # :yields: child raise NotImplementedError.new end end