# Bernoulli

Generates Bernoulli distributed random values.

## Syntax

Fortran:

status = virngbernoulli( method, stream, n, r, p )

C:

status = viRngBernoulli( method, stream, n, r, p );

## Description

This function generates Bernoulli distributed random numbers with probability p of a single trial success, where
`p∈R; 0 ≤ p ≤ 1.`

A variate is called Bernoulli distributed, if after a trial it is equal to 1 with probability of success p, and to 0 with probability 1 — p.

The probability distribution is given by:
`P(X = 1) = p`
`P(X = 0) = 1 - p`

The cumulative distribution function is as follows:

## Input Parameters

Name | Type | Description
--- | --- | ---
method | FORTRAN: INTEGER, INTENT(IN) C: int | Generation method. The specific value is as follows: VSL_METHOD_IBERNOULLI_ICDF Inverse cumulative distribution function method.
stream | FORTRAN: TYPE (VSL_STREAM_STATE), INTENT(IN) C: VSLStreamStatePtr | FORTRAN: Descriptor of the stream state structure. C: Pointer to the stream state structure
n | FORTRAN: INTEGER, INTENT(IN) C: int | Number of random values to be generated
p | FORTRAN: DOUBLE PRECISION, INTENT(IN) C: double | Success probability p of a trial

## Output Parameters

Name | Type | Description
--- | --- | ---
r | FORTRAN: INTEGER, INTENT(OUT) C: int* | Vector of n Bernoulli distributed random values

## Return Values

VSL_ERROR_OK, VSL_STATUS_OK
  Indicates no error, execution is successful.
VSL_ERROR_NULL_PTR
  stream is a NULL pointer.
VSL_ERROR_BAD_STREAM

  stream is not a valid random stream.

VSL_ERROR_BAD_UPDATE

  Callback function for an abstract BRNG returns an invalid number of updated entries in a buffer, that is, `< 0` or `> nmax`.

VSL_ERROR_NO_NUMBERS

  Callback function for an abstract BRNG returns 0 as the number of updated entries in a buffer.

Parent topic: Discrete Distributions