/* Written in 2018 by David Blackman and Sebastiano Vigna (vigna@acm.org) To the extent possible under law, the author has dedicated all copyright and related and neighboring rights to this software to the public domain worldwide. This software is distributed without any warranty. See . */ #include #include /* This is xoshiro512+ 1.0, our generator for floating-point numbers with increased state size. We suggest to use its upper bits for floating-point generation, as it is slightly faster than xoshiro512**. It passes all tests we are aware of except for the lowest three bits, which might fail linearity tests (and just those), so if low linear complexity is not considered an issue (as it is usually the case) it can be used to generate 64-bit outputs, too. We suggest to use a sign test to extract a random Boolean value, and right shifts to extract subsets of bits. The state must be seeded so that it is not everywhere zero. If you have a 64-bit seed, we suggest to seed a splitmix64 generator and use its output to fill s. */ static inline uint64_t rotl(const uint64_t x, int k) { return (x << k) | (x >> (64 - k)); } static uint64_t s[8]; uint64_t next(void) { const uint64_t result = s[0] + s[2]; const uint64_t t = s[1] << 11; s[2] ^= s[0]; s[5] ^= s[1]; s[1] ^= s[2]; s[7] ^= s[3]; s[3] ^= s[4]; s[4] ^= s[5]; s[0] ^= s[6]; s[6] ^= s[7]; s[6] ^= t; s[7] = rotl(s[7], 21); return result; } /* This is the jump function for the generator. It is equivalent to 2^256 calls to next(); it can be used to generate 2^256 non-overlapping subsequences for parallel computations. */ void jump(void) { static const uint64_t JUMP[] = { 0x33ed89b6e7a353f9, 0x760083d7955323be, 0x2837f2fbb5f22fae, 0x4b8c5674d309511c, 0xb11ac47a7ba28c25, 0xf1be7667092bcc1c, 0x53851efdb6df0aaf, 0x1ebbc8b23eaf25db }; uint64_t t[sizeof s / sizeof *s]; memset(t, 0, sizeof t); for(int i = 0; i < sizeof JUMP / sizeof *JUMP; i++) for(int b = 0; b < 64; b++) { if (JUMP[i] & UINT64_C(1) << b) for(int w = 0; w < sizeof s / sizeof *s; w++) t[w] ^= s[w]; next(); } memcpy(s, t, sizeof s); } /* This is the long-jump function for the generator. It is equivalent to 2^384 calls to next(); it can be used to generate 2^128 starting points, from each of which jump() will generate 2^128 non-overlapping subsequences for parallel distributed computations. */ void long_jump(void) { static const uint64_t LONG_JUMP[] = { 0x11467fef8f921d28, 0xa2a819f2e79c8ea8, 0xa8299fc284b3959a, 0xb4d347340ca63ee1, 0x1cb0940bedbff6ce, 0xd956c5c4fa1f8e17, 0x915e38fd4eda93bc, 0x5b3ccdfa5d7daca5 }; uint64_t t[sizeof s / sizeof *s]; memset(t, 0, sizeof t); for(int i = 0; i < sizeof LONG_JUMP / sizeof *LONG_JUMP; i++) for(int b = 0; b < 64; b++) { if (LONG_JUMP[i] & UINT64_C(1) << b) for(int w = 0; w < sizeof s / sizeof *s; w++) t[w] ^= s[w]; next(); } memcpy(s, t, sizeof s); }