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Showing content from https://timsong-cpp.github.io/cppwp/n4659/rand.dist.norm.normal below:

[rand.dist.norm.normal]

29 Numerics library [numerics] 29.6 Random number generation [rand] 29.6.8 Random number distribution class templates [rand.dist] 29.6.8.5 Normal distributions [rand.dist.norm] 29.6.8.5.1 Class template normal_­distribution [rand.dist.norm.normal]

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

p(x|μ,σ)=1σ2πexp((xμ)22σ2).

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:
        using result_type = RealType;
    using param_type  = unspecified;

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

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

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

explicit normal_distribution(RealType mean = 0.0, RealType stddev = 1.0);

Effects: Constructs a normal_­distribution object; mean and stddev correspond to the respective parameters of the distribution.

RealType mean() const;

Returns: The value of the mean parameter with which the object was constructed.

RealType stddev() const;

Returns: The value of the stddev parameter with which the object was constructed.


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