MATLAB: Generate a large power set in batches

combinationslogical?MATLABpower set

Say I want to generate the power set of a number and store as logical combinations using this formula for example:
idx = dec2bin(0:2^n-1,n)=='1';
But the n value I want to use is big enough that the resulting idx variable becomes too large to store in memory or work with. Is there any way that I can generate the power set batch-wise in a loop so I only have to store parts of it at a time but in the end I will have worked my way though all of it?
So for example, is there any way I can generate the first 100 values of the set and then start regenerating at 101 and go to 200 etc?

Best Answer

n = 14;           %for example
batch_size = 100;
maxidx = 2^n - 1;
for k = 0 : ceil(maxidx/batch_size)
  high = min(maxidx, (k+1)*batch_size - 1);
  idx = dec2bin(k * batch_size : high, n) == '1';
  ...
end
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