26 Numerics library [numerics]

26.6 Random number generation [rand]

26.6.8 Random number distribution class templates [rand.dist]

26.6.8.5 Normal distributions [rand.dist.norm]

26.6.8.5.1 Class template normal_­distribution [rand.dist.norm.normal]

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A normal_­distribution random number distribution produces random numbers x distributed according to the probability density function
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
    normal_distribution() : normal_distribution(0.0) {}
    explicit normal_distribution(RealType mean, 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;
  };
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explicit normal_distribution(RealType mean, RealType stddev = 1.0);
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Preconditions: .
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Remarks: mean and stddev correspond to the respective parameters of the distribution.
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RealType mean() const;
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Returns: The value of the mean parameter with which the object was constructed.
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RealType stddev() const;
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Returns: The value of the stddev parameter with which the object was constructed.