/* Written in 2019 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 xoroshiro1024* 1.0, our large-state generator for floating-point numbers. We suggest to use its upper bits for floating-point generation, as it is slightly faster than xoroshiro1024++/xoroshiro1024**. Its state however is too large--in general, the xoshiro256 family should be preferred. It is a better replacement for xorshift1024*. 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 int p; static uint64_t s[16]; uint64_t next(void) { const int q = p; const uint64_t s0 = s[p = (p + 1) & 15]; uint64_t s15 = s[q]; const uint64_t result = s0 * 0x9e3779b97f4a7c13; s15 ^= s0; s[q] = rotl(s0, 25) ^ s15 ^ (s15 << 27); s[p] = rotl(s15, 36); return result; } /* This is the jump function for the generator. It is equivalent to 2^512 calls to next(); it can be used to generate 2^512 non-overlapping subsequences for parallel computations. */ void jump() { static const uint64_t JUMP[] = { 0x931197d8e3177f17, 0xb59422e0b9138c5f, 0xf06a6afb49d668bb, 0xacb8a6412c8a1401, 0x12304ec85f0b3468, 0xb7dfe7079209891e, 0x405b7eec77d9eb14, 0x34ead68280c44e4a, 0xe0e4ba3e0ac9e366, 0x8f46eda8348905b7, 0x328bf4dbad90d6ff, 0xc8fd6fb31c9effc3, 0xe899d452d4b67652, 0x45f387286ade3205, 0x03864f454a8920bd, 0xa68fa28725b1b384 }; 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 j = 0; j < sizeof s / sizeof *s; j++) t[j] ^= s[(j + p) & sizeof s / sizeof *s - 1]; next(); } for(int i = 0; i < sizeof s / sizeof *s; i++) { s[(i + p) & sizeof s / sizeof *s - 1] = t[i]; } } /* This is the long-jump function for the generator. It is equivalent to 2^768 calls to next(); it can be used to generate 2^256 starting points, from each of which jump() will generate 2^256 non-overlapping subsequences for parallel distributed computations. */ void long_jump(void) { static const uint64_t LONG_JUMP[] = { 0x7374156360bbf00f, 0x4630c2efa3b3c1f6, 0x6654183a892786b1, 0x94f7bfcbfb0f1661, 0x27d8243d3d13eb2d, 0x9701730f3dfb300f, 0x2f293baae6f604ad, 0xa661831cb60cd8b6, 0x68280c77d9fe008c, 0x50554160f5ba9459, 0x2fc20b17ec7b2a9a, 0x49189bbdc8ec9f8f, 0x92a65bca41852cc1, 0xf46820dd0509c12a, 0x52b00c35fbf92185, 0x1e5b3b7f589e03c1 }; 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 j = 0; j < sizeof s / sizeof *s; j++) t[j] ^= s[(j + p) & sizeof s / sizeof *s - 1]; next(); } for(int i = 0; i < sizeof s / sizeof *s; i++) { s[(i + p) & sizeof s / sizeof *s - 1] = t[i]; } }