npm package: @stdlib/math-iter-special-atan2
Description: Create an iterator which computes the angle in the plane (in radians) between the positive x-axis and the ray from (0,0) to the point (x,y).
Author: The Stdlib Authors
Latest version: 0.2.3

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# iterAtan2

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> Create an [iterator][mdn-iterator-protocol] which iteratively computes the [angle][@stdlib/math/base/special/atan2] in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)`.

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

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<!-- Package usage documentation. -->

<section class="installation">

## Installation

```bash
npm install @stdlib/math-iter-special-atan2
```

</section>

<section class="usage">

## Usage

```javascript
var iterAtan2 = require( '@stdlib/math-iter-special-atan2' );
```

#### iterAtan2( y, x )

Returns an [iterator][mdn-iterator-protocol] which iteratively computes the [angle][@stdlib/math/base/special/atan2] in the plane (in radians) between the positive x-axis and the ray from `(0,0)` to the point `(x,y)`.

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

var x = array2iterator( [ 2.0, 2.0, -1.0 ] );
var y = array2iterator( [ 2.0, 6.0, -1.0 ] );

var it = iterAtan2( y, x );
// returns <Object>

var r = it.next().value;
// returns ~0.785

r = it.next().value;
// returns ~1.249

r = it.next().value;
// returns ~-2.356

// ...
```

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

-   **next**: function which returns an [iterator][mdn-iterator-protocol] 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][mdn-iterator-protocol] and returns a single (optional) argument in an [iterator][mdn-iterator-protocol] protocol-compliant object.

If provided a numeric value as an [`iterator`][mdn-iterator-protocol] argument, the value is broadcast as an **infinite** [iterator][mdn-iterator-protocol] which **always** returns the provided value.

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

var y = array2iterator( [ 2.0, 6.0 ] );

var it = iterAtan2( y, 2.0 );
// returns <Object>

var v = it.next().value;
// returns ~0.785

v = it.next().value;
// returns ~1.249

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 iterated value is non-numeric (including `NaN`), the returned [iterator][mdn-iterator-protocol] returns `NaN`. If non-numeric iterated values are possible, you are advised to provide an [`iterator`][mdn-iterator-protocol] which type checks and handles non-numeric values accordingly.
-   The length of the returned [iterator][mdn-iterator-protocol] is equal to the length of the shortest provided [iterator][mdn-iterator-protocol]. In other words, the returned [iterator][mdn-iterator-protocol] ends once **one** of the provided [iterators][mdn-iterator-protocol] ends.
-   If an environment supports `Symbol.iterator` **and** a provided [iterator][mdn-iterator-protocol] is iterable, the returned [iterator][mdn-iterator-protocol] is iterable.

</section>

<!-- /.notes -->

<!-- Package usage examples. -->

<section class="examples">

## Examples

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

```javascript
var uniform = require( '@stdlib/random-iter-uniform' );
var iterAtan2 = require( '@stdlib/math-iter-special-atan2' );

// Create seeded iterators for generating pseudorandom numbers:
var x = uniform( -2.0, 2.0, {
    'seed': 1234,
    'iter': 10
});

var y = uniform( -2.0, 2.0, {
    'seed': 4567,
    'iter': 10
});

// Create an iterator which consumes the pseudorandom number iterators:
var it = iterAtan2( y, x );

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

</section>

<!-- /.examples -->

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<section class="references">

</section>

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<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/math-base/special/atan2`][@stdlib/math/base/special/atan2]</span><span class="delimiter">: </span><span class="description">compute the angle in the plane (in radians) between the positive x-axis and the ray from (0,0) to the point (x,y).</span>
-   <span class="package-name">[`@stdlib/math-iter/special/atan`][@stdlib/math/iter/special/atan]</span><span class="delimiter">: </span><span class="description">create an iterator which computes the arctangent of each iterated value.</span>

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

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[mdn-iterator-protocol]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Iteration_protocols#The_iterator_protocol

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

[@stdlib/math/base/special/atan2]: https://www.npmjs.com/package/@stdlib/math-base-special-atan2

[@stdlib/math/iter/special/atan]: https://www.npmjs.com/package/@stdlib/math-iter-special-atan

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</section>

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