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# iterDiracComb

> Create an iterator which generates a Dirac comb.

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<section class="intro">

A Dirac comb is represented by the following equation

<!-- <equation class="equation" label="eq:dirac_comb" align="center" raw="f(t; T, \varphi) = \delta((t-\varphi) \bmod T)" alt="Equation for a Dirac comb."> -->

<div class="equation" align="center" data-raw-text="f(t; T, \varphi) = \delta((t-\varphi) \bmod T)" data-equation="eq:dirac_comb">
    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@801be3f8c35f2e79fbcf9b6e38568479f6faa5f2/lib/node_modules/@stdlib/simulate/iter/dirac-comb/docs/img/equation_dirac_comb.svg" alt="Equation for a Dirac comb.">
    <br>
</div>

<!-- </equation> -->

where `δ` is the Dirac delta function, `T` is the period, and `φ` is the phase offset.

<!-- TODO: add a figure showing a Dirac comb -->

</section>

<!-- /.intro -->

<!-- Package usage documentation. -->

<section class="usage">

## Usage

```javascript
var iterDiracComb = require( '@stdlib/simulate/iter/dirac-comb' );
```

#### iterDiracComb( \[options] )

Returns an iterator which generates a Dirac comb.

```javascript
var it = iterDiracComb();
// returns <Object>

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

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

// ...
```

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`:

-   **period**: period (i.e., the number of iterations before a waveform repeats). Default: `10`.
-   **offset**: phase offset (in units of iterations; zero-based). A negative offset translates a waveform to the left. A positive offset translates a waveform to the right. Default: `0`.
-   **iter**: number of iterations. Default: `1e308`.

By default, the function returns an iterator which generates a Dirac delta function that repeats every `10` iterations. To specify an alternative period, set the `period` option.

```javascript
var opts = {
    'period': 4
};

var it = iterDiracComb( opts );
// returns <Object>

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

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

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

// ...
```

To adjust at what point the iterator begins in the waveform cycle, set the phase `offset` option. For example, to translate the waveform to the left,

```javascript
var opts = {
    'period': 4,
    'offset': -1
};

var it = iterDiracComb( opts );
// returns <Object>

var v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

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

v = it.next().value;
// returns 0.0

// ...
```

To translate the waveform to the right,

```javascript
var opts = {
    'period': 4,
    'offset': 1
};

var it = iterDiracComb( opts );
// returns <Object>

var v = it.next().value;
// returns 0.0

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

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

v = it.next().value;
// returns 0.0

// ...
```

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.

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

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

v = it.next().value;
// returns 0.0

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

</section>

<!-- /.usage -->

<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

## Notes

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

</section>

<!-- /.notes -->

<!-- Package usage examples. -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var iterDiracComb = require( '@stdlib/simulate/iter/dirac-comb' );

// Create an iterator:
var opts = {
    'period': 10,
    'offset': -5,
    'iter': 100
};
var it = iterDiracComb( opts );

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

</section>

<!-- /.examples -->

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<section class="references">

</section>

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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/simulate/iter/pulse`][@stdlib/simulate/iter/pulse]</span><span class="delimiter">: </span><span class="description">create an iterator which generates a pulse waveform.</span>

</section>

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<section class="links">

<!-- <related-links> -->

[@stdlib/simulate/iter/pulse]: https://github.com/stdlib-js/simulate/tree/main/iter/pulse

<!-- </related-links> -->

</section>

<!-- /.links -->
