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# Let's suppose that there is a method Set.pickOne() | |
# which picks randomly an element from a given set | |
# We also introduce Set.empty which is the neutral element for the union operation (+) | |
function power_set(items) | |
if items.empty | |
return Set.empty | |
set <- copy(items) | |
e <- set.pickOne() | |
ps <- power_set(set.remove(e)) | |
ps <- ps + add(ps, e) | |
return ps | |
# Iterative add | |
# arguments: | |
# set_of_sets: a set of sets | |
# e: an element to be added to each set inside set_of_sets | |
function add(set_of_sets, e) | |
set <- copy(set_of_sets) | |
foreach subset in set | |
subset.add(e) | |
return set | |
# Recursive add: this suppose the existence of a constructor Set.new(element) | |
# to create a set with an initial element | |
function add(set_of_sets, e) | |
if set_of_sets.empty | |
return Set.empty | |
subsets <- copy(set_of_sets) | |
subset <- subsets.pickOne() | |
subsets.remove(subset) | |
subset.add(e) | |
return Set.new(subset) + add(subsets, e) |
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