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<!-- lint disable maximum-heading-length -->

# avercosBy

> Compute the [inverse versed cosine][@stdlib/math/base/special/avercos] of each element retrieved from an input strided array via a callback function.

<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var avercosBy = require( '@stdlib/math/strided/special/avercos-by' );
```

#### avercosBy( N, x, strideX, y, strideY, clbk\[, thisArg] )

Computes the [inverse versed cosine][@stdlib/math/base/special/avercos] of each element retrieved from an input strided array `x` via a callback function and assigns each result to an element in an output strided array `y`.

```javascript
function accessor( v ) {
    return v;
}

var x = [ 0.0, -1.57, -0.5, -1.0, -1.25 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

avercosBy( x.length, x, 1, y, 1, accessor );
// y => [ 0.0, ~2.177, ~1.047, ~1.571, ~1.823 ]
```

The function accepts the following arguments:

-   **N**: number of indexed elements.
-   **x**: input [`Array`][mdn-array], [`typed array`][mdn-typed-array], or an array-like object (excluding strings and functions).
-   **strideX**: index increment for `x`.
-   **y**: output [`Array`][mdn-array], [`typed array`][mdn-typed-array], or an array-like object (excluding strings and functions).
-   **strideY**: index increment for `y`.
-   **clbk**: callback function.
-   **thisArg**: execution context (_optional_).

The invoked callback function is provided six arguments:

-   **value**: input array element.
-   **idx**: iteration index (zero-based).
-   **xi**: input array strided index (`offsetX + idx*strideX`).
-   **yi**: output array strided index (`offsetY + idx*strideY`).
-   **x**: input array/collection.
-   **y**: output array/collection.

To set the callback execution context, provide a `thisArg`.

```javascript
function accessor( v ) {
    this.count += 1;
    return v;
}

var context = {
    'count': 0
};

var x = [ 0.0, -1.57, -0.5, -1.0, -1.25 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

avercosBy( x.length, x, 1, y, 1, accessor, context );
// y => [ 0.0, ~2.177, ~1.047, ~1.571, ~1.823 ]

var cnt = context.count;
// returns 8
```

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 to index the first `N` elements of `y` in reverse order,

```javascript
function accessor( v ) {
    return v;
}

var x = [ 0.0, -1.57, -0.5, -1.0, -1.25, -0.67 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];

avercosBy( 3, x, 2, y, -1, accessor );
// y => [ ~1.823, ~1.047, 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' );

function accessor( v ) {
    return v;
}

// Initial arrays...
var x0 = new Float64Array( [ 0.0, -1.57, -0.5, -1.0, -1.25, -0.67 ] );
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

avercosBy( 3, x1, -2, y1, 1, accessor );
// y0 => <Float64Array>[ 0.0, 0.0, 0.0, ~1.234, ~1.571, ~2.177 ]
```

#### avercosBy.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, clbk\[, thisArg] )

Computes the [inverse versed cosine][@stdlib/math/base/special/avercos] of each element retrieved from an input strided array `x` via a callback function and assigns each result to an element in an output strided array `y` using alternative indexing semantics.

```javascript
function accessor( v ) {
    return v;
}

var x = [ 0.0, -1.57, -0.5, -1.0, -1.25 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

avercosBy.ndarray( x.length, x, 1, 0, y, 1, 0, accessor );
// y => [ 0.0, ~2.177, ~1.047, ~1.571, ~1.823 ]
```

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
function accessor( v ) {
    return v;
}

var x = [ 0.0, -1.57, -0.5, -1.0, -1.25, -0.67 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];

avercosBy.ndarray( 3, x, 2, 1, y, -1, y.length-1, accessor );
// y => [ 0.0, 0.0, 0.0, ~1.234, ~1.571, ~2.177 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   If a provided callback function does not return any value (or equivalently, explicitly returns `undefined`), the value is **ignored**.

    ```javascript
    function accessor() {
        // No-op...
    }

    var x = [ 0.0, -1.57, -0.5, -1.0, -1.25 ];
    var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

    avercosBy( x.length, x, 1, y, 1, accessor );
    // y => [ 0.0, 0.0, 0.0, 0.0, 0.0 ]
    ```

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var uniform = require( '@stdlib/random/base/uniform' );
var filledarray = require( '@stdlib/array/filled' );
var avercosBy = require( '@stdlib/math/strided/special/avercos-by' );

function accessor( v, i ) {
    if ( (i%3) === 0 ) {
        // Simulate a "missing" value...
        return;
    }
    return v;
}

var x = filledarray( 0.0, 10, 'generic' );
var y = filledarray( null, 10, 'generic' );

var i;
for ( i = 0; i < x.length; i++ ) {
    x[ i ] = uniform( -2.0, 0.0 );
}
console.log( x );
console.log( y );

avercosBy.ndarray( x.length, x, 1, 0, y, -1, y.length-1, accessor );
console.log( y );
```

</section>

<!-- /.examples -->

<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/math/base/special/avercos]: https://github.com/stdlib-js/math/tree/main/base/special/avercos

</section>

<!-- /.links -->
