// *Really* minimal PCG32 code / (c) 2014 M.E. O'Neill / pcg-random.org // Licensed under Apache License 2.0 (NO WARRANTY, etc. see website) #include "pcg.h" uint32_t pcg32_random_r(pcg32_random_t* rng) { uint64_t oldstate = rng->state; // Advance internal state rng->state = oldstate * 6364136223846793005ULL + (rng->inc|1); // Calculate output function (XSH RR), uses old state for max ILP uint32_t xorshifted = ((oldstate >> 18u) ^ oldstate) >> 27u; uint32_t rot = oldstate >> 59u; return (xorshifted >> rot) | (xorshifted << ((-rot) & 31)); } // Source from http://www.pcg-random.org/downloads/pcg-c-basic-0.9.zip void pcg32_srandom_r(pcg32_random_t* rng, uint64_t initstate, uint64_t initseq) { rng->state = 0U; rng->inc = (initseq << 1u) | 1u; pcg32_random_r(rng); rng->state += initstate; pcg32_random_r(rng); } // Source from https://github.com/imneme/pcg-c-basic/blob/master/pcg_basic.c // pcg32_boundedrand_r(rng, bound): // Generate a uniformly distributed number, r, where 0 <= r < bound uint32_t pcg32_boundedrand_r(pcg32_random_t *rng, uint32_t bound) { // To avoid bias, we need to make the range of the RNG a multiple of // bound, which we do by dropping output less than a threshold. // A naive scheme to calculate the threshold would be to do // // uint32_t threshold = 0x100000000ull % bound; // // but 64-bit div/mod is slower than 32-bit div/mod (especially on // 32-bit platforms). In essence, we do // // uint32_t threshold = (0x100000000ull-bound) % bound; // // because this version will calculate the same modulus, but the LHS // value is less than 2^32. uint32_t threshold = -bound % bound; // Uniformity guarantees that this loop will terminate. In practice, it // should usually terminate quickly; on average (assuming all bounds are // equally likely), 82.25% of the time, we can expect it to require just // one iteration. In the worst case, someone passes a bound of 2^31 + 1 // (i.e., 2147483649), which invalidates almost 50% of the range. In // practice, bounds are typically small and only a tiny amount of the range // is eliminated. for (;;) { uint32_t r = pcg32_random_r(rng); if (r >= threshold) return r % bound; } }