29 Numerics library [numerics]

A normal_­distribution random number distribution produces random numbers x distributed according to the probability density function

$$p(x|\mu ,\sigma )=\frac{1}{\sigma \sqrt{2\pi }}\cdot \exp \left(-\frac{(x-\mu {)}^2}{2{\sigma }^2}\right)\text{.}$$

The distribution parameters μ and σ are also known as this distribution's mean and standard deviation.

template<class RealType = double>
  class normal_distribution {
  public:
    // types
    using result_type = RealType;
    using param_type  = unspecified;

    // constructors and reset functions
    explicit normal_distribution(RealType mean = 0.0, RealType stddev = 1.0);
    explicit normal_distribution(const param_type& parm);
    void reset();

    // generating functions
    template<class URBG>
      result_type operator()(URBG& g);
    template<class URBG>
      result_type operator()(URBG& g, const param_type& parm);

    // property functions
    RealType mean() const;
    RealType stddev() const;
    param_type param() const;
    void param(const param_type& parm);
    result_type min() const;
    result_type max() const;
  };