# Gumbel Random Numbers

Gumbel distributed pseudorandom numbers.

## Usage

``````var gumbel = require( '@stdlib/random/base/gumbel' );
``````

#### gumbel( mu, beta )

Returns a pseudorandom number drawn from a Gumbel distribution with parameters `mu` (mean) and `beta` (scale parameter).

``````var r = gumbel( 2.0, 5.0 );
// returns <number>
``````

If `mu` or `beta` is `NaN` or `beta <= 0`, the function returns `NaN`.

``````var r = gumbel( 2.0, -2.0 );
// returns NaN

r = gumbel( NaN, 5.0 );
// returns NaN

r = gumbel( 2.0, NaN );
// returns NaN
``````

#### gumbel.factory( [mu, beta, ][options] )

Returns a pseudorandom number generator (PRNG) for generating pseudorandom numbers drawn from a Gumbel distribution.

``````var rand = gumbel.factory();

var r = rand( 0.1, 1.5 );
// returns <number>
``````

If provided `mu` and `beta`, the returned generator returns random variates from the specified distribution.

``````var rand = gumbel.factory( 10.0, 2.0 );

var r = rand();
// returns <number>

r = rand();
// returns <number>
``````

If not provided `mu` and `beta`, the returned generator requires that both parameters be provided at each invocation.

``````var rand = gumbel.factory();

var r = rand( 0.0, 1.0 );
// returns <number>

r = rand( -2.0, 2.0 );
// returns <number>
``````

The function accepts the following `options`:

• seed: pseudorandom number generator seed.

To seed a pseudorandom number generator, set the `seed` option.

``````var rand = gumbel.factory({
'seed': 12345
});

var r = rand( 1.0, 2.0 );
// returns <number>

rand = gumbel.factory( 1.0, 2.0, {
'seed': 12345
});

r = rand();
// returns <number>
``````

#### gumbel.NAME

The generator name.

``````var str = gumbel.NAME;
// returns 'gumbel'
``````

#### gumbel.PRNG

The underlying pseudorandom number generator.

``````var prng = gumbel.PRNG;
// returns <Function>
``````

#### gumbel.SEED

The value used to seed `gumbel()`.

``````var rand;
var r;
var i;

// Generate pseudorandom values...
for ( i = 0; i < 100; i++ ) {
r = gumbel( 2.0, 2.0 );
}

// Generate the same pseudorandom values...
rand = gumbel.factory( 2.0, 2.0, {
'seed': gumbel.SEED
});
for ( i = 0; i < 100; i++ ) {
r = rand();
}
``````

## Examples

``````var gumbel = require( '@stdlib/random/base/gumbel' );

var seed;
var rand;
var i;

// Generate pseudorandom numbers...
console.log( '\nseed: %d', gumbel.SEED );
for ( i = 0; i < 100; i++ ) {
console.log( gumbel( 0.0, 1.0 ) );
}

// Create a new pseudorandom number generator...
seed = 1234;
rand = gumbel.factory( 5.0, 2.0, {
'seed': seed
});
console.log( '\nseed: %d', seed );
for ( i = 0; i < 100; i++ ) {
console.log( rand() );
}

// Create another pseudorandom number generator using a previous seed...
rand = gumbel.factory( 0.0, 1.0, {
'seed': gumbel.SEED
});
console.log( '\nseed: %d', gumbel.SEED );
for ( i = 0; i < 100; i++ ) {
console.log( rand() );
}
``````