iterFactorialsSeq

Create an iterator which generates a sequence of factorials.

The factorial function may be defined as the product

n factorial equals product Underscript k equals 1 Overscript n Endscripts k

or according to the recurrence relation

n factorial equals StartLayout Enlarged left-brace 1st Row 1st Column 1 2nd Column if n equals 0 comma 2nd Row 1st Column left-parenthesis n minus 1 right-parenthesis factorial times n 2nd Column if n greater-than 1 EndLayout

Following the convention for an empty product, in all definitions,

0 factorial equals 1

Usage

var iterFactorialsSeq = require( '@stdlib/math/iter/sequences/factorials' );

iterFactorialsSeq( [options] )

Returns an iterator which generates a sequence of factorials.

var it = iterFactorialsSeq();
// returns <Object>

var v = it.next().value;
// returns 1

v = it.next().value;
// returns 1

v = it.next().value;
// returns 2

v = it.next().value;
// returns 6

v = it.next().value;
// returns 24

// ...

The returned iterator protocol-compliant object has the following properties:

  • next: function which returns an iterator protocol-compliant object containing the next iterated value (if one exists) assigned to a value property and a done property having a boolean value indicating whether the iterator is finished.
  • return: function which closes an iterator and returns a single (optional) argument in an iterator protocol-compliant object.

The function supports the following options:

  • iter: number of iterations. Default: 1e308.

By default, the function returns an infinite iterator (i.e., an iterator which never ends). To limit the number of iterations, set the iter option.

var opts = {
    'iter': 2
};
var it = iterFactorialsSeq( opts );
// returns <Object>

var v = it.next().value;
// returns 1

v = it.next().value;
// returns 1

var bool = it.next().done;
// returns true

Notes

  • If an environment supports Symbol.iterator, the returned iterator is iterable.

Examples

var iterFactorialsSeq = require( '@stdlib/math/iter/sequences/factorials' );

// Create an iterator:
var opts = {
    'iter': 100
};
var it = iterFactorialsSeq( opts );

// Perform manual iteration...
var v;
while ( true ) {
    v = it.next();
    if ( v.done ) {
        break;
    }
    console.log( v.value );
}
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