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# mskmax

> Compute the maximum value along one or more [ndarray][@stdlib/ndarray/ctor] dimensions according to a mask.

<section class="usage">

## Usage

```javascript
var mskmax = require( '@stdlib/stats/mskmax' );
```

#### mskmax( x, mask\[, options] )

Compute the maximum value along one or more [ndarray][@stdlib/ndarray/ctor] dimensions according to a mask.

```javascript
var Uint8Array = require( '@stdlib/array/uint8' );
var array = require( '@stdlib/ndarray/array' );

var x = array( [ -1.0, 2.0, -3.0 ] );
var mask = array( new Uint8Array( [ 0, 0, 1 ] ) );

var y = mskmax( x, mask );
// returns <ndarray>

var v = y.get();
// returns 2.0
```

The function has the following parameters:

- **x**: input [ndarray][@stdlib/ndarray/ctor]. Must have a real-valued or "generic" [data type][@stdlib/ndarray/dtypes].
- **mask**: mask [ndarray][@stdlib/ndarray/ctor]. Must have the same shape as `x`. If a mask element is `0`, the corresponding element in `x` is considered valid. If a mask element is non-zero, the corresponding element in `x` is ignored.
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This isn't correct. Namely, x and mask should broadcast together. E.g., I should be able to provide a lower-dimensional mask and apply that to each sub-matrix in x. And similarly, I should be able to provide a lower-dimensional x and apply each mask sub-matrix to that same x.

- **options**: function options (_optional_).

The function accepts the following options:

- **dims**: list of dimensions over which to perform a reduction. If not provided, the function performs a reduction over all elements in a provided input [ndarray][@stdlib/ndarray/ctor].
- **dtype**: output ndarray [data type][@stdlib/ndarray/dtypes]. Must be a real-valued or "generic" [data type][@stdlib/ndarray/dtypes].
- **keepdims**: boolean indicating whether the reduced dimensions should be included in the returned [ndarray][@stdlib/ndarray/ctor] as singleton dimensions. Default: `false`.

By default, the function performs a reduction over all elements in a provided input [ndarray][@stdlib/ndarray/ctor]. To perform a reduction over specific dimensions, provide a `dims` option.

```javascript
var Uint8Array = require( '@stdlib/array/uint8' );
var mskmax = require( '@stdlib/stats/mskmax' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var array = require( '@stdlib/ndarray/array' );

var x = array( [ -1.0, 2.0, -3.0, 4.0 ], {
'shape': [ 2, 2 ],
'order': 'row-major'
});
var mask = array( new Uint8Array( [ 0, 0, 1, 0 ] ), {
'shape': [ 2, 2 ],
'order': 'row-major'
});
var v = ndarray2array( x );
// returns [ [ -1.0, 2.0 ], [ -3.0, 4.0 ] ]

var y = mskmax( x, mask, {
'dims': [ 0 ]
});
// returns <ndarray>

v = ndarray2array( y );
// returns [ -1.0, 4.0 ]

y = mskmax( x, mask, {
'dims': [ 1 ]
});
// returns <ndarray>

v = ndarray2array( y );
// returns [ 2.0, 4.0 ]

y = mskmax( x, mask, {
'dims': [ 0, 1 ]
});
// returns <ndarray>

v = y.get();
// returns 4.0
```

By default, the function excludes reduced dimensions from the output [ndarray][@stdlib/ndarray/ctor]. To include the reduced dimensions as singleton dimensions, set the `keepdims` option to `true`.

```javascript
var Uint8Array = require( '@stdlib/array/uint8' );
var mskmax = require( '@stdlib/stats/mskmax' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var array = require( '@stdlib/ndarray/array' );

var x = array( [ -1.0, 2.0, -3.0, 4.0 ], {
'shape': [ 2, 2 ],
'order': 'row-major'
});
var mask = array( new Uint8Array( [ 0, 0, 1, 0 ] ), {
'shape': [ 2, 2 ],
'order': 'row-major'
});

var v = ndarray2array( x );
// returns [ [ -1.0, 2.0 ], [ -3.0, 4.0 ] ]

var y = mskmax( x, mask, {
'dims': [ 0 ],
'keepdims': true
});
// returns <ndarray>

v = ndarray2array( y );
// returns [ [ -1.0, 4.0 ] ]

y = mskmax( x, mask, {
'dims': [ 1 ],
'keepdims': true
});
// returns <ndarray>

v = ndarray2array( y );
// returns [ [ 2.0 ], [ 4.0 ] ]

y = mskmax( x, mask, {
'dims': [ 0, 1 ],
'keepdims': true
});
// returns <ndarray>

v = ndarray2array( y );
// returns [ [ 4.0 ] ]
```

By default, the function returns an [ndarray][@stdlib/ndarray/ctor] having a [data type][@stdlib/ndarray/dtypes] determined by the function's output data type [policy][@stdlib/ndarray/output-dtype-policies]. To override the default behavior, set the `dtype` option.

```javascript
var Uint8Array = require( '@stdlib/array/uint8' );
var mskmax = require( '@stdlib/stats/mskmax' );
var getDType = require( '@stdlib/ndarray/dtype' );
var array = require( '@stdlib/ndarray/array' );

var x = array( [ -1.0, 2.0, -3.0 ], {
'dtype': 'generic'
});
var mask = array( new Uint8Array( [ 0, 0, 1 ] ) );

var y = mskmax( x, mask, {
'dtype': 'float64'
});
// returns <ndarray>

var dt = String( getDType( y ) );
// returns 'float64'
```

#### mskmax.assign( x, mask, out\[, options] )

Computes the maximum value of [ndarray][@stdlib/ndarray/ctor] along one or more dimensions and assigns results to a provided output [ndarray][@stdlib/ndarray/ctor] according to mask.

```javascript
var Uint8Array = require( '@stdlib/array/uint8' );
var mskmax = require( '@stdlib/stats/mskmax' );
var array = require( '@stdlib/ndarray/array' );
var zeros = require( '@stdlib/ndarray/zeros' );

var x = array( [ -1.0, 2.0, -3.0 ] );
var mask = array( new Uint8Array( [ 0, 0, 1 ] ) );
var y = zeros( [] );

var out = mskmax.assign( x, mask, y );
// returns <ndarray>

var v = out.get();
// returns 2.0

var bool = ( out === y );
// returns true
```

The method has the following parameters:

- **x**: input [ndarray][@stdlib/ndarray/ctor]. Must have a real-valued or generic [data type][@stdlib/ndarray/dtypes].
- **mask**: mask [ndarray][@stdlib/ndarray/ctor]. Must have the same shape as `x`. If a mask element is `0`, the corresponding element in `x` is considered valid. If a mask element is non-zero, the corresponding element in `x` is ignored.
- **out**: output [ndarray][@stdlib/ndarray/ctor].
- **options**: function options (_optional_).

The method accepts the following options:

- **dims**: list of dimensions over which to perform a reduction. If not provided, the function performs a reduction over all elements in a provided input [ndarray][@stdlib/ndarray/ctor].

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- Setting the `keepdims` option to `true` can be useful when wanting to ensure that the output [ndarray][@stdlib/ndarray/ctor] is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with ndarrays having the same shape as the input [ndarray][@stdlib/ndarray/ctor].
- The output data type [policy][@stdlib/ndarray/output-dtype-policies] only applies to the main function and specifies that, by default, the function must return an [ndarray][@stdlib/ndarray/ctor] having the same [data type][@stdlib/ndarray/dtypes] as the input [ndarray][@stdlib/ndarray/ctor]. For the `assign` method, the output [ndarray][@stdlib/ndarray/ctor] is allowed to have any supported output [data type][@stdlib/ndarray/dtypes].

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var getDType = require( '@stdlib/ndarray/dtype' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var ndarray = require( '@stdlib/ndarray/ctor' );
var mskmax = require( '@stdlib/stats/mskmax' );

// Generate an array of random numbers:
var xbuf = discreteUniform( 25, 0, 20, {
'dtype': 'generic'
});

// Generate a mask array:
var mbuf = discreteUniform( 25, 0, 1, {
'dtype': 'uint8'
});

// Wrap in ndarrays:
var x = new ndarray( 'generic', xbuf, [ 5, 5 ], [ 5, 1 ], 0, 'row-major' );
var mask = new ndarray( 'uint8', mbuf, [ 5, 5 ], [ 5, 1 ], 0, 'row-major' );
console.log( ndarray2array( x ) );
console.log( ndarray2array( mask ) );

// Perform a reduction:
var y = mskmax( x, mask, {
'dims': [ 0 ]
});

// Resolve the output array data type:
var dt = getDType( y );
console.log( dt );

// Print the results:
console.log( ndarray2array( 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">

[@stdlib/ndarray/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/ctor

[@stdlib/ndarray/dtypes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/dtypes

[@stdlib/ndarray/output-dtype-policies]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/output-dtype-policies

[@stdlib/ndarray/base/broadcast-shapes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/base/broadcast-shapes

</section>

<!-- /.links -->
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