bernoulliSkipSampling is an implementation of Bernoulli sampling using skips.
Skip sampling works by skipping a random number of lines between selections. This can be faster than assigning a random value to each line when the inclusion probability is low, as it reduces the number of calls to the random number generator. Both the random number generator and the log() function are called when calculating the next skip size. These additional log() calls add up as the inclusion probability increases.
Performance tests indicate the break-even point is about 4-5% (--prob 0.04) for file-oriented line sampling. This is obviously environment specific. In the environments this implementation has been tested in the performance improvements remain small, less than 7%, even with an inclusion probability as low as 0.0001.
The algorithm does not assign random values to individual lines. This makes it incompatible with random value printing. It is not suitable for compatibility mode either. As an example, in compatibility mode a line selected with '--prob 0.2' should also be selected with '--prob 0.3' (assuming the same random seed). Skip sampling does not have this property.
The algorithm for calculating the skip size has been described by multiple sources. There are two key variants depending on whether the total number of lines in the data set is known in advance. (This implementation does not know the total.) Useful references: