npm package: @stdlib/constants-float64-sqrt-eps
Description: Square root of double-precision floating-point epsilon.
Author: The Stdlib Authors
Latest version: 0.2.3

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# SQRT_EPS

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> [Square root][@stdlib/math/base/special/sqrt] of [double-precision floating-point epsilon][@stdlib/constants/float64/eps].

<section class="installation">

## Installation

```bash
npm install @stdlib/constants-float64-sqrt-eps
```

</section>

<section class="usage">

## Usage

```javascript
var SQRT_EPS = require( '@stdlib/constants-float64-sqrt-eps' );
```

#### SQRT_EPS

[Square root][@stdlib/math/base/special/sqrt] of [double-precision floating-point epsilon][@stdlib/constants/float64/eps].

```javascript
var bool = ( SQRT_EPS === 0.14901161193847656e-7 );
// returns true
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var abs = require( '@stdlib/math-base-special-abs' );
var max = require( '@stdlib/math-base-special-max' );
var randu = require( '@stdlib/random-base-randu' );
var SQRT_EPS = require( '@stdlib/constants-float64-sqrt-eps' );

var bool;
var a;
var b;
var i;

function isApprox( a, b ) {
    var delta;
    var tol;

    delta = abs( a - b );
    tol = SQRT_EPS * max( abs( a ), abs( b ) );

    return ( delta <= tol );
}

for ( i = 0; i < 100; i++ ) {
    a = randu() * 10.0;
    b = a + (randu()*5.0e-7) - 2.5e-7;
    bool = isApprox( a, b );
    console.log( '%d %s approximately equal to %d. Delta: %d.', a, ( bool ) ? 'is' : 'is not', b, abs( a - b ) );
}
```

</section>

<!-- /.examples -->

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* * *

<section class="c">

## C APIs

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<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/constants/float64/sqrt_eps.h"
```

#### STDLIB_CONSTANT_FLOAT64_SQRT_EPS

Macro for the [square root][@stdlib/math/base/special/sqrt] of [double-precision floating-point epsilon][@stdlib/constants/float64/eps].

</section>

<!-- /.usage -->

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

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

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<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/constants-float64/eps`][@stdlib/constants/float64/eps]</span><span class="delimiter">: </span><span class="description">difference between one and the smallest value greater than one that can be represented as a double-precision floating-point number.</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].

</section>

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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/constants-float64-sqrt-eps/main/LICENSE

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

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[@stdlib/constants/float64/eps]: https://www.npmjs.com/package/@stdlib/constants-float64-eps

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</section>

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