[rand.dist.norm.cauchy]

A cauchy_distribution random number distribution produces random numbers x distributed according to the probability density function in Formula 29.16 .

\begin{matrix} p (x | a, b) = {(π b (1 + {(\frac{x - a}{b})}^{2}))}^{- 1} \\ (29.16) \end{matrix}

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namespace std { template<class RealType = double> class cauchy_distribution { public: // types using result_type = RealType; using param_type = unspecified; // constructor and reset functions cauchy_distribution() : cauchy_distribution(0.0) {} explicit cauchy_distribution(RealType a, RealType b = 1.0); explicit cauchy_distribution(const param_type& parm); void reset(); // equality operators friend bool operator==(const cauchy_distribution& x, const cauchy_distribution& y); // 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 a() const; RealType b() const; param_type param() const; void param(const param_type& parm); result_type min() const; result_type max() const; // inserters and extractors template<class charT, class traits> friend basic_ostream<charT, traits>& operator<<(basic_ostream<charT, traits>& os, const cauchy_distribution& x); template<class charT, class traits> friend basic_istream<charT, traits>& operator>>(basic_istream<charT, traits>& is, cauchy_distribution& x); }; }

2

#

Preconditions:

0 < b

.

3

#

Remarks: a and b correspond to the respective parameters of the distribution.

4

#

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

5

#

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

29 Numerics library [numerics]

29.5 Random number generation [rand]

29.5.9 Random number distribution class templates [rand.dist]

29.5.9.5 Normal distributions [rand.dist.norm]

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