# Based on http://johncarrino.net/blog/2006/08/11/powerset-in-ruby/ # See the link if you want a shorter version. # This was intended to show the reader how the method works. class Array # Adds a power_set method to every array, i.e.: [1, 2].power_set def power_set # Injects into a blank array of arrays. # acc is what we're injecting into # you is each element of the array inject([[]]) do |acc, you| ret = [] # Set up a new array to add into acc.each do |i| # For each array in the injected array, ret << i # Add itself into the new array ret << i + [you] # Merge the array with a new array of the current element end ret # Return the array we're looking at to inject more. end end # A more functional and even clearer variant. def func_power_set inject([[]]) { |ps,item| # for each item in the Array ps + # take the powerset up to now and add ps.map { |e| e + [item] } # it again, with the item appended to each element } end end #A direct translation of the "power array" version above require 'set' class Set def powerset inject(Set[Set[]]) do |ps, item| ps.union ps.map {|e| e.union (Set.new [item])} end end end p [1,2,3,4].power_set p %w(one two three).func_power_set p Set[1,2,3].powerset