itercuprod

Create an iterator which iteratively computes a cumulative product.

The cumulative product is defined as

StartLayout 1st Row 1st Column p 0 2nd Column equals x 0 2nd Row 1st Column p 1 2nd Column equals x 1 dot p 0 3rd Row 1st Column p 2 2nd Column equals x 2 dot p 1 4th Row 1st Column p Subscript n 2nd Column equals x Subscript n Baseline dot p Subscript n minus 1 Baseline equals x Subscript n Baseline dot product Underscript i equals 0 Overscript n minus 1 Endscripts x Subscript i EndLayout

Usage

var itercuprod = require( '@stdlib/stats/iter/cuprod' );

itercuprod( iterator )

Returns an iterator which iteratively computes a cumulative product.

var array2iterator = require( '@stdlib/array/to-iterator' );

var arr = array2iterator( [ 2.0, 1.0, 3.0, -7.0, -5.0 ] );
var it = itercuprod( arr );

var p = it.next().value;
// returns 2.0

p = it.next().value;
// returns 2.0

p = it.next().value;
// returns 6.0

p = it.next().value;
// returns -42.0

p = it.next().value;
// returns 210.0

Notes

  • If an iterated value is non-numeric (including NaN), the function returns NaN for all future iterations. If non-numeric iterated values are possible, you are advised to provide an iterator which type checks and handles non-numeric values accordingly.
  • For iterators which can generate many values or which may output large numbers, care should be taken to prevent overflow.

Examples

var runif = require( '@stdlib/random/iter/uniform' );
var itercuprod = require( '@stdlib/stats/iter/cuprod' );

// Create an iterator for generating uniformly distributed pseudorandom numbers:
var rand = runif( -10.0, 10.0, {
    'seed': 1234,
    'iter': 100
});

// Create an iterator for iteratively computing a cumulative product:
var it = itercuprod( rand );

// Perform manual iteration...
var v;
while ( true ) {
    v = it.next();
    if ( typeof v.value === 'number' ) {
        console.log( 'prod: %d', v.value );
    }
    if ( v.done ) {
        break;
    }
}
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