在 C/C++ 中生成服从正态分布的随机数
下面,我们将了解如何生成服从正态分布的随机数。以下是产生正态随机数的公式。
𝑧 = √−2 ln 𝑥1 cos (2𝜋𝑥2)
其中 x1 和 x2 是随机选取的。
实例
#include <cstdlib>
#include <cmath>
#include <ctime>
#include <iostream>
using namespace std;
double rand_gen() {
// return a uniformly distributed random value
return ( (double)(rand()) + 1. )/( (double)(RAND_MAX) + 1. );
}
double normalRandom() {
// return a normally distributed random value
double v1=rand_gen();
double v2=rand_gen();
return cos(2*3.14*v2)*sqrt(-2.*log(v1));
}
main() {
double sigma = 82.0;
double Mi = 40.0;
for(int i=0;i<20;i++) {
double x = normalRandom()*sigma+Mi;
cout << " x = " << x << endl;
}
}输出
x = 1.91628 x = 57.0448 x = 51.4348 x = 53.5612 x = -83.8511 x = -28.9197 x = -76.0576 x = 62.1435 x = 23.9 x = -87.0663 x = 50.6942 x = 94.1685 x = -88.1597 x = 168.502 x = 40.7563 x = 90.1091 x = 16.9218 x = -36.9178 x = 135.969 x = 56.8888
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