time-to-botec/squiggle/node_modules/@stdlib/math/strided/special/sqrt/README.md

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# sqrt

> Compute the principal [square root][square-root] of each element in a strided array.

<section class="intro">

The principal [square root][square-root] is defined as

<!-- <equation class="equation" label="eq:principal_square_root" align="center" raw="\sqrt{x^2} = \begin{matrix} x, & \textrm{if}\ x \geq 0\end{matrix}" alt="Principal square root"> -->

<div class="equation" align="center" data-raw-text="\sqrt{x^2} = \begin{matrix} x, &amp; \textrm{if}\ x \geq 0\end{matrix}" data-equation="eq:principal_square_root">
    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5de0e834d1b5b074d6df210b9cb492c75c9953a2/lib/node_modules/@stdlib/math/strided/special/sqrt/docs/img/equation_principal_square_root.svg" alt="Principal square root">
    <br>
</div>

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var sqrt = require( '@stdlib/math/strided/special/sqrt' );
```

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

Computes the principal [square root][square-root] of each element in a strided array `x` and assigns the results to elements in a strided array `y`.

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

var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0 ] );

// Perform operation in-place:
sqrt( x.length, x, 1, x, 1 );
// x => <Float64Array>[ 0.0, 2.0, 3.0, ~3.464, ~4.899 ]
```

The function accepts the following arguments:

-   **N**: number of indexed elements.
-   **x**: input array-like object.
-   **strideX**: index increment for `x`.
-   **y**: output array-like object.
-   **strideY**: index increment for `y`.

The `N` and `stride` parameters determine which elements in `x` and `y` are accessed at runtime. For example, to index every other value in `x` and the first `N` elements of `y` in reverse order,

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

var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0, 64.0 ] );
var y = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

sqrt( 3, x, 2, y, -1 );
// y => <Float64Array>[ ~4.899, 3.0, 0.0, 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( [ 0.0, 4.0, 9.0, 12.0, 24.0, 64.0 ] );
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*3 ); // start at 4th element

sqrt( 3, x1, -2, y1, 1 );
// y0 => <Float64Array>[ 0.0, 0.0, 0.0, 8.0, ~3.464, 2.0 ]
```

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

Computes the principal [square root][square-root] of each element in a strided array `x` and assigns the results to elements in a strided array `y` using alternative indexing semantics.

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

var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0 ] );
var y = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0 ] );

sqrt.ndarray( x.length, x, 1, 0, y, 1, 0 );
// y => <Float64Array>[ 0.0, 2.0, 3.0, ~3.464, ~4.899 ]
```

The function accepts the following additional arguments:

-   **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 `offsetX` and `offsetY` parameters support indexing semantics based on starting indices. For example, to index every other value in `x` starting from the second value and to index the last `N` elements in `y`,

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

var x = new Float64Array( [ 0.0, 4.0, 9.0, 12.0, 24.0, 64.0 ] );
var y = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

sqrt.ndarray( 3, x, 2, 1, y, -1, y.length-1 );
// y => <Float64Array>[ 0.0, 0.0, 0.0, 8.0, ~3.464, 2.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var uniform = require( '@stdlib/random/base/uniform' ).factory;
var filledarray = require( '@stdlib/array/filled' );
var dtypes = require( '@stdlib/array/dtypes' );
var gfillBy = require( '@stdlib/blas/ext/base/gfill-by' );
var sqrt = require( '@stdlib/math/strided/special/sqrt' );

var dt;
var x;
var y;
var i;

dt = dtypes();
for ( i = 0; i < dt.length; i++ ) {
    x = filledarray( 0.0, 10, dt[ i ] );
    gfillBy( x.length, x, 1, uniform( 0.0, 100.0 ) );
    console.log( x );

    y = filledarray( 0.0, x.length, 'generic' );
    console.log( y );

    sqrt.ndarray( x.length, x, 1, 0, y, -1, y.length-1 );
    console.log( y );
    console.log( '' );
}
```

</section>

<!-- /.examples -->

<section class="links">

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

[square-root]: https://en.wikipedia.org/wiki/Square_root

</section>

<!-- /.links -->