/* 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. Permission to use, copy, modify, and/or distribute this software for any purpose with or without fee is hereby granted. THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ #include #include /* This is xoroshiro1024++ 1.0, one of our all-purpose, rock-solid, large-state generators. It is extremely fast and it passes all tests we are aware of. Its state however is too large--in general, the xoshiro256 family should be preferred. For generating just floating-point numbers, xoroshiro1024* is even faster (but it has a very mild bias, see notes in the comments). 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 = rotl(s0 + s15, 23) + s15; 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]; } }