Question

Box-Muller transform是一种优雅且性能相当的高斯分布随机值采样方法。

我正在寻找一种用C＃清晰编写的更快的方法。

此处参考的是Box-Muller实施的实施，作为性能比较的基准...

public class GaussianGenerator
{
    FastRandom _rng = new FastRandom();
    double? _spareValue = null;

    /// <summary>
    /// Get the next sample point from the gaussian distribution.
    /// </summary>
    public double NextDouble()
    {
        if(null != _spareValue)
        {
            double tmp = _spareValue.Value;
            _spareValue = null;
            return tmp;
        }

        // Generate two new gaussian values.
        double x, y, sqr;

        // We need a non-zero random point inside the unit circle.
        do
        {
            x = 2.0 * _rng.NextDouble() - 1.0;
            y = 2.0 * _rng.NextDouble() - 1.0;
            sqr = x * x + y * y;
        }
        while(sqr > 1.0 || sqr == 0);

        // Make the Box-Muller transformation.
        double fac = Math.Sqrt(-2.0 * Math.Log(sqr) / sqr);

        _spareValue = x * fac;
        return y * fac;
    }

    /// <summary>
    /// Get the next sample point from the gaussian distribution.
    /// </summary>
    public double NextDouble(double mu, double sigma)
    {
        return mu + (NextDouble() * sigma);
    }
}