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This is a specific type of general algorithm/research area called Bernoulli Factories if anyone wants to go deep.


Thanks for this pointer -- I had read a Knuth paper ages ago that talked about this, but I couldn't remember the term of find the paper again, and this led me directly to [1] which led me back to [2]

[1] https://peteroupc.github.io/bernoulli.html

[2] Knuth, Donald E. and Andrew Chi-Chih Yao. “The complexity of nonuniform random number generation”, in Algorithms and Complexity: New Directions and Recent Results, 1976.




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