time-to-botec/squiggle/node_modules/@stdlib/blas/base/gscal/README.md

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# gscal

> Multiply a vector `x` by a constant `alpha`.

<section class="usage">

## Usage

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

#### gscal( N, alpha, x, stride )

Multiplies a vector `x` by a constant `alpha`.

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

gscal( x.length, 5.0, x, 1 );
// x => [ -10.0, 5.0, 15.0, -25.0, 20.0, 0.0, -5.0, -15.0 ]
```

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].
-   **stride**: index increment.

The `N` and `stride` parameters determine which elements in `x` are accessed at runtime. For example, to multiply every other value by a constant

```javascript
var floor = require( '@stdlib/math/base/special/floor' );

var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ];

var N = floor( x.length / 2 );
var alpha = 5.0;
var stride = 2;

gscal( N, alpha, x, stride );
// x => [ -10.0, 1.0, 15.0, -5.0, 20.0, 0.0, -5.0, -3.0 ]
```

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' );
var floor = require( '@stdlib/math/base/special/floor' );

// Initial array...
var x0 = new Float64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

// Create an offset view...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var N = floor( x0.length / 2 );
var alpha = 5.0;
var stride = 2;

// Scale every other value...
gscal( N, alpha, x1, stride );
// x0 => <Float64Array>[ 1.0, -10.0, 3.0, -20.0, 5.0, -30.0 ]
```

If either `N` or `stride` is less than or equal to `0`, the function returns `x` unchanged.

#### gscal.ndarray( N, alpha, x, stride, offset )

Multiplies a vector `x` by a constant `alpha` using alternative indexing semantics.

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

gscal.ndarray( x.length, 5.0, x, 1, 0 );
// x => [ -10.0, 5.0, 15.0, -25.0, 20.0, 0.0, -5.0, -15.0 ]
```

The function has the following additional parameters:

-   **offset**: starting index.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, the `offset` parameter supports indexing semantics based on a starting index. For example, to multiply the last three elements of `x` by a constant

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

gscal.ndarray( 3, alpha, x, 1, x.length-3 );
// x => [ 1.0, -2.0, 3.0, -20.0, 25.0, -30.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   If `N <= 0`, both functions return `x` unchanged.
-   `gscal()` corresponds to the [BLAS][blas] level 1 function [`dscal`][dscal] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, the typed versions ([`dscal`][@stdlib/blas/base/dscal], [`sscal`][@stdlib/blas/base/sscal], etc.) are likely to be significantly more performant.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var round = require( '@stdlib/math/base/special/round' );
var randu = require( '@stdlib/random/base/randu' );
var Float64Array = require( '@stdlib/array/float64' );
var gscal = require( '@stdlib/blas/base/gscal' );

var rand;
var sign;
var x;
var i;

x = new Float64Array( 100 );
for ( i = 0; i < x.length; i++ ) {
    rand = round( randu()*100.0 );
    sign = randu();
    if ( sign < 0.5 ) {
        sign = -1.0;
    } else {
        sign = 1.0;
    }
    x[ i ] = sign * rand;
}
console.log( x );

gscal( x.length, 5.0, x, 1 );
console.log( x );
```

</section>

<!-- /.examples -->

<section class="links">

[blas]: http://www.netlib.org/blas

[dscal]: http://www.netlib.org/lapack/explore-html/de/da4/group__double__blas__level1.html

[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/blas/base/dscal]: https://www.npmjs.com/package/@stdlib/blas/tree/main/base/dscal

[@stdlib/blas/base/sscal]: https://www.npmjs.com/package/@stdlib/blas/tree/main/base/sscal

</section>

<!-- /.links -->