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Cartesian Power Example
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# Usage | |
# | |
[:true, :false].cartesian_power(2) {|l| p l.inspect } | |
# "[:true, :true]" | |
# "[:true, :false]" | |
# "[:false, :true]" | |
# "[:false, :false]" | |
# | |
[:true, :false].cartesian_power(3) {|l| p l.inspect } | |
# "[:true, :true, :true]" | |
# "[:true, :true, :false]" | |
# "[:true, :false, :true]" | |
# "[:true, :false, :false]" | |
# "[:false, :true, :true]" | |
# "[:false, :true, :false]" | |
# "[:false, :false, :true]" | |
# "[:false, :false, :false]" | |
# | |
[:true, :false].cartesian_power(4) {|l| p l.inspect } | |
# "[:true, :true, :true, :true]" | |
# "[:true, :true, :true, :false]" | |
# "[:true, :true, :false, :true]" | |
# "[:true, :true, :false, :false]" | |
# "[:true, :false, :true, :true]" | |
# "[:true, :false, :true, :false]" | |
# "[:true, :false, :false, :true]" | |
# "[:true, :false, :false, :false]" | |
# "[:false, :true, :true, :true]" | |
# "[:false, :true, :true, :false]" | |
# "[:false, :true, :false, :true]" | |
# "[:false, :true, :false, :false]" | |
# "[:false, :false, :true, :true]" | |
# "[:false, :false, :true, :false]" | |
# "[:false, :false, :false, :true]" | |
# "[:false, :false, :false, :false]" | |
class Array | |
# Credit where credit is due: http://stackoverflow.com/questions/15737065/unique-permutations-for-large-sets/15737305#15737305 | |
def cartesian_power(n) | |
current = [0] * n | |
last = [size - 1] * n | |
loop do | |
yield current.reverse.collect { |i| self[i] } | |
break if current == last | |
(0...n).each do |index| | |
current[index] += 1 | |
current[index] %= size | |
break if current[index] > 0 | |
end | |
end | |
end | |
end |
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