/* Written in 2014-2016 by 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 */ #include /* This generator has been replaced by xoroshiro128+, which is significantly faster and has better statistical properties. It might be nonetheless useful for languages in which low-level rotate instructions are not available. Due to the relatively short period it is acceptable only for applications with a mild amount of parallelism. Note that the lowest bit of this generator is an LFSR of degree 128; thus, it will fail linearity tests. The next bit can be described by an LFSR of degree 8256, but in the long run it will fail linearity tests, too. The other bits needs a much higher degree to be represented as LFSRs. 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. A previous version of this generator was adding the two halves of the newly computed state. This version adds the two halves of the *current* state (as xoroshiro128plus does), which improves speed due to better internal parallelization from the CPU. The resulting streams are off by one step. */ uint64_t s[2]; uint64_t next(void) { uint64_t s1 = s[0]; const uint64_t s0 = s[1]; const uint64_t result = s0 + s1; s[0] = s0; s1 ^= s1 << 23; // a s[1] = s1 ^ s0 ^ (s1 >> 18) ^ (s0 >> 5); // b, c return result; } /* This is the jump function for the generator. It is equivalent to 2^64 calls to next(); it can be used to generate 2^64 non-overlapping subsequences for parallel computations. */ void jump(void) { static const uint64_t JUMP[] = { 0x8a5cd789635d2dff, 0x121fd2155c472f96 }; uint64_t s0 = 0; uint64_t s1 = 0; for(int i = 0; i < sizeof JUMP / sizeof *JUMP; i++) for(int b = 0; b < 64; b++) { if (JUMP[i] & UINT64_C(1) << b) { s0 ^= s[0]; s1 ^= s[1]; } next(); } s[0] = s0; s[1] = s1; }