Faster random integer generation with batching

Daniel Lemire's blog discusses advancements in random integer generation, particularly through a method called batching. Traditional algorithms for generating random integers, such as the Knuth shuffle, often require generating random numbers within specific intervals, which can lead to inefficiencies, especially when using modulo operations that introduce statistical bias and potential performance hits due to division instructions. Lemire introduces a more efficient approach that utilizes 64-bit random integers to generate bounded random numbers without division, significantly improving performance. The proposed method allows for generating multiple random integers from a single 64-bit integer, which can be particularly useful in applications like shuffling large arrays. Benchmarks indicate that this batched approach can be four to five times faster than standard library implementations on macOS and about 30% faster on Linux systems. The technique is not limited to shuffling but can be applied to various operations requiring random number generation.

- Batching improves random integer generation efficiency by reducing the need for division.

- The method allows generating multiple bounded random integers from a single 64-bit integer.

- Benchmarks show significant performance improvements over standard library functions.

- The technique is applicable to various operations beyond shuffling.

- Collaboration with Nevin Brackett-Rozinsky contributed to the development of this method.