blob: 65b054f4068431fdc0e9510f10612b6d4bf91f22 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
|
#pragma once
#include <complex>
#include <random>
template <class T = double> class complex_normal_distribution {
private:
std::normal_distribution<T> d;
T δx;
T δy;
std::complex<T> μ;
std::complex<T> eθ;
public:
complex_normal_distribution(std::complex<T> μ, T σ, std::complex<T> κ) : μ(μ), d(0, σ / sqrt(2)) {
δx = sqrt(1 + std::abs(κ));
δy = sqrt(1 - std::abs(κ));
eθ = std::polar((T)1, std::arg(κ));
}
template <class Generator> std::complex<T> operator()(Generator& g) {
// First generate an axis-aligned complex number centered at the origin.
std::complex<T> z(d(g) * δx, d(g) * δy);
// Shift and rotate the number.
return μ + eθ * z;
}
};
|
