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The prime-testing techniques we will use (Miller-Rabin, Strong Lucas) all make heavy usage of modular arithmetic. Therefore, we lay those foundations here, adding utilities to perform the basic arithmetic operations robustly. Since these are internal-only helper functions, we don't bother checking the preconditions, although we state them clearly in the contract comment for each utility. After C++26, we could add contracts for these. Helps #509.
4.8 KiB
4.8 KiB