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SetPartition

Ruby implementation of Partition of a Set based on paper Efficient Generation of Set Partitions by Michael Orlov

Installation

Add this line to your application's Gemfile:

gem 'set_partition'

And then execute:

$ bundle

Or install it yourself as:

$ gem install set_partition

Usage

set_partition = SetPartition::Generator.new 4
set_partition.start #=> [0,0,0,0]
set_partition.next  #=> [0,0,0,1]
set_partition.next  #=> [0,0,1,0]

set_partition = SetPartition::FixedGenerator.new 4, 2
set_partition.start #=> [0,0,0,1]
set_partition.next  #=> [0,0,1,0]
set_partition.next  #=> [0,0,1,1]

set_partition = SetPartition::Array.new [:a, :b, :c, :d]
set_partition.start  #=> [[:a,:b,:c,:d]]          # [0,0,0,0]
set_partition.next   #=> [[:a,:b,:c], [:d]]       # [0,0,0,1]
set_partition.next   #=> [[:a,:b,:d], [:c]]       # [0,0,1,0]

set_partition = SetPartition::Array.new [:a, :b, :c, :d], 2
set_partition.start #=> [[:a,:b,:c], [:d]]       # [0,0,0,1]
set_partition.next  #=> [[:a,:b,:d], [:c]]       # [0,0,1,0]
set_partition.next  #=> [[:a,:b], [:c,:d]]       # [0,0,1,1]

set_partition = SetPartition::Array.new [:a, :b, :c, :d], 2
set_partition.to_a
#=>[
#   [[:a,:b,:c], [:d]],
#   [[:a,:b,:d], [:c]],
#   [[:a,:b], [:c,:d]],
#   [[:a,:c,:d], [:b]],
#   [[:a,:c], [:b,:d]],
#   [[:a,:d], [:b, :c]],
#   [[:a], [:b,:c,:d]]
# ]

TODO

  • The Ruby Way

Contributing

  1. Fork it
  2. Create your feature branch (git checkout -b my-new-feature)
  3. Commit your changes (git commit -am 'Add some feature')
  4. Push to the branch (git push origin my-new-feature)
  5. Create new Pull Request

About

Ruby implementation of http://en.wikipedia.org/wiki/Partition_of_a_set based on paper Efficient Generation of Set Partitions by Michael Orlov <orlovm@cs.bgu.ac.il>

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