/* 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];
}
}