28 lines
686 B
C
28 lines
686 B
C
|
|
||
|
uint64_t xorshift64(uint64_t* seed)
|
||
|
{
|
||
|
// Algorithm "xor" from p. 4 of Marsaglia, "Xorshift RNGs"
|
||
|
// <https://en.wikipedia.org/wiki/Xorshift>
|
||
|
uint64_t x = *seed;
|
||
|
x ^= x << 13;
|
||
|
x ^= x >> 7;
|
||
|
x ^= x << 17;
|
||
|
return *seed = x;
|
||
|
}
|
||
|
|
||
|
double sample_unit_uniform(uint64_t* seed)
|
||
|
{
|
||
|
// samples uniform from [0,1] interval.
|
||
|
return ((double)xorshift64(seed)) / ((double)UINT64_MAX);
|
||
|
}
|
||
|
|
||
|
double sample_unit_normal(uint64_t* seed)
|
||
|
{
|
||
|
// // See: <https://en.wikipedia.org/wiki/Box%E2%80%93Muller_transform>
|
||
|
double u1 = sample_unit_uniform(seed);
|
||
|
double u2 = sample_unit_uniform(seed);
|
||
|
double z = sqrtf(-2.0 * log(u1)) * sin(2 * PI * u2);
|
||
|
return z;
|
||
|
}
|
||
|
|