Creating Combinations of Sets/Arrays/Things in Ruby

I was looking for a way to create combinations of things in Ruby and I found an article by Uncle Bob detailing his attempt at writing a combination generator in Ruby. I modified it slightly to use an array of items, instead of simple indexes.


require 'pp'

def choose(n, k)
  return [[]] if n.nil? || n.empty? && k == 0
  return [] if n.nil? || n.empty? && k > 0
  return [[]] if n.size > 0 && k == 0
  c2 = n.clone
  c2.pop
  new_element = n.clone.pop
  choose(c2, k) + append_all(choose(c2, k-1), new_element)
end

def append_all(lists, element)
  lists.map { |l| l << element }
end

all = [:a, :b, :c, :d]

pp choose(all,3)

The above code prints out:

[[:a, :b, :c], [:a, :b, :d], [:a, :c, :d], [:b, :c, :d]]

If you don’t want these types of combinations, there is a Ruby library for calculating Permutations which will give you all the different permutations, or orderings, of a set of things.

3 Responses to “Creating Combinations of Sets/Arrays/Things in Ruby”

  1. Brian Adkins Says:

    Here’s an alternative version. I’m still not real pleased with it. I don’t like the inefficiency of slicing the array repeatedly, but probably the only way to avoid that is to use a set of indices to navigate through the array which would clutter things up.

    Return all combinations of n elements from array

    combinations([1,2,3],2) -> [[1,2],[1,3],[2,3]]

    def combinations array, n
    result = []
    if n > 0
    (0 .. array.length - n).each do |i|
    combs = combinations(array[i + 1 .. -1], n - 1)
    combs = [[]] if combs.empty?
    combs.collect {|comb| [array[i]] + comb}.each {|x| result << x}
    end
    end
    return result
    end

  2. Brian Adkins Says:

    boy that looks bad! Maybe you can wrap the code with <pre>

  3. Brian Adkins Says:

    BTW you can combine your first and third line since they both have ‘k==0′ and both return [[]]

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