factorial_engine

Struct FactorialEngine

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pub struct FactorialEngine { /* private fields */ }
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A high-performance engine for computing the prime factorization of factorials. It uses Legendre’s Formula to avoid calculating large numbers, ensuring speed and zero overflow errors.

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impl FactorialEngine

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pub fn new(sieve_up_to: Option<u64>) -> Self

Creates a new engine. Can optionally pre-sieve primes up to a limit.

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pub fn get_factorial_factorization(&mut self, n: u64) -> HashMap<u64, u64>

Returns the prime factorization of n! as a HashMap of {prime: exponent}. This is the primary public method of the engine.

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