Class template cauchy

Class template cauchy_distribution

boost::random::cauchy_distribution

Synopsis

// In header: <boost/random/cauchy_distribution.hpp>

template<typename RealType = double> 
class cauchy_distribution {
public:
  // types
  typedef RealType input_type; 
  typedef RealType result_type;

  // member classes/structs/unions

  class param_type {
  public:
    // types
    typedef cauchy_distribution distribution_type;

    // construct/copy/destruct
    explicit param_type(RealType = 0.0, RealType = 1.0);

    // public member functions
    RealType median() const;
    RealType sigma() const;
    RealType a() const;
    RealType b() const;

    // friend functions
    template<typename CharT, typename Traits> 
      friend std::basic_ostream< CharT, Traits > & 
      operator<<(std::basic_ostream< CharT, Traits > &, const param_type &);
    template<typename CharT, typename Traits> 
      friend std::basic_istream< CharT, Traits > & 
      operator>>(std::basic_istream< CharT, Traits > &, const param_type &);
    friend bool operator==(const param_type &, const param_type &);
    friend bool operator!=(const param_type &, const param_type &);
  };

  // construct/copy/destruct
  explicit cauchy_distribution(RealType = 0.0, RealType = 1.0);
  explicit cauchy_distribution(const param_type &);

  // public member functions
  RealType median() const;
  RealType sigma() const;
  RealType a() const;
  RealType b() const;
  RealType min() const;
  RealType max() const;
  param_type param() const;
  void param(const param_type &);
  void reset();
  template<typename Engine> result_type operator()(Engine &);
  template<typename Engine> 
    result_type operator()(Engine &, const param_type &);

  // friend functions
  template<typename CharT, typename Traits> 
    friend std::basic_ostream< CharT, Traits > & 
    operator<<(std::basic_ostream< CharT, Traits > &, 
               const cauchy_distribution &);
  template<typename CharT, typename Traits> 
    friend std::basic_istream< CharT, Traits > & 
    operator>>(std::basic_istream< CharT, Traits > &, 
               const cauchy_distribution &);
  friend bool operator==(const cauchy_distribution &, 
                         const cauchy_distribution &);
  friend bool operator!=(const cauchy_distribution &, 
                         const cauchy_distribution &);
};

Description

The cauchy distribution is a continuous distribution with two parameters, median and sigma.

It has

`cauchy_distribution` public construct/copy/destruct

explicit cauchy_distribution(RealType median = 0.0, RealType sigma = 1.0);

Constructs a cauchy_distribution with the paramters median and sigma.

explicit cauchy_distribution(const param_type & param);

Constructs a cauchy_distribution from it's parameters.

`cauchy_distribution` public member functions

```
RealType median() const;
```
Returns: the "median" parameter of the distribution
```
RealType sigma() const;
```
Returns: the "sigma" parameter of the distribution
```
RealType a() const;
```
Returns: the "median" parameter of the distribution
```
RealType b() const;
```
Returns: the "sigma" parameter of the distribution
```
RealType min() const;
```
Returns the smallest value that the distribution can produce.
```
RealType max() const;
```
Returns the largest value that the distribution can produce.
```
param_type param() const;
```
```
void param(const param_type & param);
```
```
void reset();
```
Effects: Subsequent uses of the distribution do not depend on values produced by any engine prior to invoking reset.
```
template<typename Engine> result_type operator()(Engine & eng);
```
Returns: A random variate distributed according to the cauchy distribution.
```
template<typename Engine> 
  result_type operator()(Engine & eng, const param_type & param);
```
Returns: A random variate distributed according to the cauchy distribution with parameters specified by param.

`cauchy_distribution` friend functions

template<typename CharT, typename Traits> 
  friend std::basic_ostream< CharT, Traits > & 
  operator<<(std::basic_ostream< CharT, Traits > & os, 
             const cauchy_distribution & cd);

Writes the distribution to a std::ostream.

template<typename CharT, typename Traits> 
  friend std::basic_istream< CharT, Traits > & 
  operator>>(std::basic_istream< CharT, Traits > & is, 
             const cauchy_distribution & cd);

Reads the distribution from a std::istream.

friend bool operator==(const cauchy_distribution & lhs, 
                       const cauchy_distribution & rhs);

Returns true if the two distributions will produce identical sequences of values, given equal generators.

friend bool operator!=(const cauchy_distribution & lhs, 
                       const cauchy_distribution & rhs);

Returns true if the two distributions may produce different sequences of values, given equal generators.