Generate a large power set in batches?

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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?

Accepted Answer

Walter Roberson
Walter Roberson on 18 Feb 2016
Edited: Walter Roberson on 18 Feb 2016
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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