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

[rand.dist.norm.cauchy]

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] 29.6.8.5.4 Class template cauchy_­distribution [rand.dist.norm.cauchy]

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

p(x|a,b)=(πb(1+(xab)2))1.

template<class RealType = double>
  class cauchy_distribution {
  public:
        using result_type = RealType;
    using param_type  = unspecified;

        explicit cauchy_distribution(RealType a = 0.0, RealType b = 1.0);
    explicit cauchy_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 a() const;
    RealType b() const;
    param_type param() const;
    void param(const param_type& parm);
    result_type min() const;
    result_type max() const;
  };

explicit cauchy_distribution(RealType a = 0.0, RealType b = 1.0);

Effects: Constructs a cauchy_­distribution object; a and b correspond to the respective parameters of the distribution.

RealType a() const;

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

RealType b() const;

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


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