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125 changes: 125 additions & 0 deletions lib/node_modules/@stdlib/blas/base/ndarray/gnrm2/README.md
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<!--

@license Apache-2.0

Copyright (c) 2026 The Stdlib Authors.

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.

-->

# gnrm2

> Compute the L2-norm of a one-dimensional ndarray.

<section class="intro">

The [L2-norm][l2-norm] is defined as

<!-- <equation class="equation" label="eq:l2_norm" align="center" raw="\|\mathbf{x}\|_2 = \sqrt{x_0^2 + x_1^2 + \ldots + x_{N-1}^2}" alt="L2-norm definition."> -->

```math
\|\mathbf{x}\|_2 = \sqrt{x_0^2 + x_1^2 + \ldots + x_{N-1}^2}
```

<!-- <div class="equation" align="center" data-raw-text="\|\mathbf{x}\|_2 = \sqrt{x_0^2 + x_1^2 + \ldots + x_{N-1}^2}" data-equation="eq:l2_norm">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@f766d7eeb56ff14cbceeeeef03d7f7b88c467515/lib/node_modules/@stdlib/blas/base/gnrm2/docs/img/equation_l2_norm.svg" alt="L2-norm definition.">
<br>
</div> -->

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var gnrm2 = require( '@stdlib/blas/base/ndarray/gnrm2' );
```

#### gnrm2( arrays )

Computes the [L2-norm][l2-norm] of a one-dimensional ndarray.

```javascript
var vector = require( '@stdlib/ndarray/vector/ctor' );

var x = vector( [ 1.0, -2.0, 2.0 ], 'generic' );

var y = gnrm2( [ x ] );
// returns 3.0
```

The function has the following parameters:

- **arrays**: array-like object containing the following ndarrays:

- a one-dimensional input ndarray.

</section>

<!-- /.usage -->

<section class="notes">

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/discrete-uniform' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var gnrm2 = require( '@stdlib/blas/base/ndarray/gnrm2' );

var opts = {
'dtype': 'generic'
};

var x = discreteUniform( [ 10 ], -500, 500, opts );
console.log( ndarray2array( x ) );

var out = gnrm2( [ x ] );
console.log( out );
```

</section>

<!-- /.examples -->

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

<section class="related">

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="links">

[l2-norm]: https://en.wikipedia.org/wiki/Euclidean_distance

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2026 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

'use strict';

// MODULES //

var bench = require( '@stdlib/bench' );
var uniform = require( '@stdlib/random/uniform' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var format = require( '@stdlib/string/format' );
var pkg = require( './../package.json' ).name;
var gnrm2 = require( './../lib' );


// VARIABLES //

var options = {
'dtype': 'generic'
};


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var x = uniform( [ len ], -100.0, 100.0, options );
return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var z;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
z = gnrm2( [ x ] );
if ( isnan( z ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( z ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

/**
* Main execution sequence.
*
* @private
*/
function main() {
var len;
var min;
var max;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
len = pow( 10, i );
f = createBenchmark( len );
bench( format( '%s:len=%d', pkg, len ), f );
}
}

main();
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25 changes: 25 additions & 0 deletions lib/node_modules/@stdlib/blas/base/ndarray/gnrm2/docs/repl.txt
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{{alias}}( arrays )
Computes the L2-norm of a one-dimensional ndarray.

If provided an empty input ndarray, the function returns `0.0`.

Parameters
----------
arrays: ArrayLikeObject<ndarray>
Array-like object containing a one-dimensional input ndarray.

Returns
-------
out: number
The L2-norm.

Examples
--------
> var x = {{alias:@stdlib/ndarray/vector/ctor}}( [ 1.0, -2.0, 2.0 ], 'generic' );
> {{alias}}( [ x ] )
3.0

See Also
--------

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/*
* @license Apache-2.0
*
* Copyright (c) 2026 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

// TypeScript Version: 4.1

/// <reference types="@stdlib/types"/>

import { typedndarray } from '@stdlib/types/ndarray';

/**
* Computes the L2-norm of a one-dimensional ndarray.
*
* ## Notes
*
* - The function expects the following ndarrays:
*
* - a one-dimensional input ndarray.
*
* @param arrays - array-like object containing ndarrays
* @returns L2-norm
*
* @example
* var vector = require( '@stdlib/ndarray/vector/ctor' );
*
* var x = vector( [ 1.0, -2.0, 2.0 ], 'generic' );
*
* var y = gnrm2( [ x ] );
* // returns 3.0
*/
declare function gnrm2( arrays: [ typedndarray<number> ] ): number;


// EXPORTS //

export = gnrm2;
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