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190 changes: 190 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/gxmy/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.

-->

# gxmy

> Multiply elements of a strided array `x` by the corresponding elements of a strided array `y` and assign the results to `y`.

<section class="intro">

This BLAS extension implements the operation

<!-- <equation class="equation" label="eq:xmy" align="center" raw="\mathbf{y} = \mathbf{x} \odot \mathbf{y}" alt="Equation for xmy operation."> -->

```math
\mathbf{y} = \mathbf{x} \odot \mathbf{y}
```

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var gxmy = require( '@stdlib/blas/ext/base/gxmy' );
```

#### gxmy( N, x, strideX, y, strideY )

Multiplies elements of a strided array `x` by the corresponding elements of a strided array `y` and assigns the results to `y`.

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
var y = [ 2.0, 3.0, 4.0, 5.0, 6.0 ];

gxmy( x.length, x, 1, y, 1 );
// y => [ 2.0, 6.0, 12.0, 20.0, 30.0 ]
```

The function has the following parameters:

- **N**: number of indexed elements.
- **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
- **strideX**: stride length for `x`.
- **y**: output [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
- **strideY**: stride length for `y`.

The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to multiply every other element of `x` by every other element of `y`:

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
var y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];

gxmy( 3, x, 2, y, 2 );
// y => [ 7.0, 8.0, 27.0, 10.0, 55.0, 12.0 ]
```

Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.

```javascript
var Float64Array = require( '@stdlib/array/float64' );

// Initial arrays...
var x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y0 = new Float64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

// Create offset views...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*2 ); // start at 3rd element

gxmy( 3, x1, 1, y1, 1 );
// y0 => <Float64Array>[ 7.0, 8.0, 18.0, 30.0, 44.0, 12.0 ]
```

#### gxmy.ndarray( N, x, strideX, offsetX, y, strideY, offsetY )

Multiplies elements of a strided array `x` by the corresponding elements of a strided array `y` and assigns the results to `y` using alternative indexing semantics.

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
var y = [ 2.0, 3.0, 4.0, 5.0, 6.0 ];

gxmy.ndarray( x.length, x, 1, 0, y, 1, 0 );
// y => [ 2.0, 6.0, 12.0, 20.0, 30.0 ]
```

The function has the following additional parameters:

- **offsetX**: starting index for `x`.
- **offsetY**: starting index for `y`.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to multiply the last three elements of `x` by the last three elements of `y`:

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
var y = [ 6.0, 7.0, 8.0, 9.0, 10.0 ];

gxmy.ndarray( 3, x, 1, x.length-3, y, 1, y.length-3 );
// y => [ 6.0, 7.0, 24.0, 36.0, 50.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- If `N <= 0`, both functions return `y` unchanged.
- Both functions support array-like objects having getter and setter accessors for array element access (e.g., [`@stdlib/array/base/accessor`][@stdlib/array/base/accessor]).

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var gxmy = require( '@stdlib/blas/ext/base/gxmy' );

var x = discreteUniform( 10, -100, 100, {
'dtype': 'float64'
});
console.log( x );

var y = discreteUniform( 10, -100, 100, {
'dtype': 'float64'
});
console.log( y );

gxmy( x.length, x, 1, y, 1 );
console.log( y );
```

</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">

[mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array

[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray

[@stdlib/array/base/accessor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/base/accessor

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

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

</section>

<!-- /.links -->
104 changes: 104 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/gxmy/benchmark/benchmark.js
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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/array/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 gxmy = require( './../lib/main.js' );


// VARIABLES //

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


// FUNCTIONS //

/**
* Create a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var x = uniform( len, -100, 100, options );
var y = uniform( len, -100, 100, 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 = gxmy( x.length, x, 1, y, 1 );
if ( isnan( z[ i%x.length ] ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( z[ i%x.length ] ) ) {
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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