# std::cauchy_distribution

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< cpp‎ | numeric‎ | random

Defined in header `<random>` |  |
template< class RealType = double > class cauchy_distribution; |  | (since C++11)

Produces random numbers according to a Cauchy distribution (also called Lorentz distribution):

  f(x; a,b) = ⎛
  ⎜
  ⎝bπ ⎡
  ⎢
  ⎣1 + ⎛
  ⎜
  ⎝

  x - a
  b

  ⎞
  ⎟
  ⎠2
  ⎤
  ⎥
  ⎦⎞
  ⎟
  ⎠-1

`std::cauchy_distribution` satisfies all requirements of RandomNumberDistribution

### Template parameters

RealType | - | The result type generated by the generator. The effect is undefined if this is not one of float, double, or long double.

### Member types

Member type | Definition
`result_type` | RealType
`param_type` | the type of the parameter set, see RandomNumberDistribution.

### Member functions

(constructor) | constructs new distribution (public member function)
reset | resets the internal state of the distribution (public member function)

##### Generation

operator() | generates the next random number in the distribution (public member function)

##### Characteristics

ab | returns the distribution parameters (public member function)
param | gets or sets the distribution parameter object (public member function)
min | returns the minimum potentially generated value (public member function)
max | returns the maximum potentially generated value (public member function)

### Non-member functions

operator==operator!= | compares two distribution objects (function)
operator<<operator>> | performs stream input and output on pseudo-random number distribution (function template)

### Example

| This section is incomplete Reason: no example

### External links

Weisstein, Eric W. "Cauchy Distribution." From MathWorld--A Wolfram Web Resource. Cauchy Distribution. From Wikipedia.

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