Skip to content
Merged
Show file tree
Hide file tree
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
195 changes: 195 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/gwxsa/README.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,195 @@
<!--

@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.

-->

# gwxsa

> Subtract a scalar constant from each element in a strided array `x` and assign the results to elements in a strided array `y`.

<section class="intro">

This BLAS extension implements the operation

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

```math
\mathbf{y} = \mathbf{x} - \alpha
```

<!-- </equation> -->

This API is complementary to the package [`@stdlib/blas/ext/base/gwapx`][@stdlib/blas/ext/base/gwapx].
Comment thread
kgryte marked this conversation as resolved.

</section>

<!-- /.intro -->

<section class="usage">

## Usage

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

#### gwxsa( N, alpha, x, strideX, y, strideY )

Subtracts a scalar constant from each element in a strided array `x` and assigns the results to elements in a strided array `y`.

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

gwxsa( x.length, 5.0, x, 1, y, 1 );
// y => [ -4.0, -3.0, -2.0, -1.0, 0.0 ]
```

The function has the following parameters:

- **N**: number of indexed elements.
- **alpha**: scalar constant.
- **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 subtract `alpha` from every other element in `x` and assign the results to every other element in `y`:

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];

gwxsa( 3, 5.0, x, 2, y, 2 );
// y => [ -4.0, 0.0, -2.0, 0.0, 0.0, 0.0 ]
```

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( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

// 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

gwxsa( 3, 5.0, x1, 1, y1, 1 );
// y0 => <Float64Array>[ 0.0, 0.0, -3.0, -2.0, -1.0, 0.0 ]
```

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

Subtracts a scalar constant from each element in a strided array `x` and assigns the results to elements in a strided array `y` using alternative indexing semantics.

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

gwxsa.ndarray( x.length, 5.0, x, 1, 0, y, 1, 0 );
// y => [ -4.0, -3.0, -2.0, -1.0, 0.0 ]
```

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 subtract `alpha` from the last three elements of `x` and assign the results to the last three elements of `y`:

```javascript
var x = [ 1.0, 2.0, 3.0, 4.0, 5.0 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

gwxsa.ndarray( 3, 5.0, x, 1, x.length-3, y, 1, y.length-3 );
// y => [ 0.0, 0.0, -2.0, -1.0, 0.0 ]
```

</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 gwxsa = require( '@stdlib/blas/ext/base/gwxsa' );

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

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

gwxsa( x.length, 5.0, 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

[@stdlib/blas/ext/base/gwapx]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/blas/ext/base/gwapx

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

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

</section>

<!-- /.links -->
104 changes: 104 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/gwxsa/benchmark/benchmark.js
Original file line number Diff line number Diff line change
@@ -0,0 +1,104 @@
/**
* @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 gwxsa = 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 = gwxsa( x.length, 5.0, 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();
Loading