popcountx
popcountx is a term that refers to a family of operations designed to count the number of set bits (bits with a value of 1) within a binary representation of a number. This operation is also commonly known as population count or Hamming weight. The "x" in popcountx often denotes a specific implementation or variation of the population count algorithm, particularly in the context of modern CPU architectures that include dedicated instructions for this purpose.
The need for efficient population count arises in various computing domains. In cryptography, it can be used
Early implementations of population count relied on software algorithms, often involving loops and bitwise operations. However,