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135 changes: 135 additions & 0 deletions base/broadcasted-binary3d/README.md
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<!--
@license Apache-2.0
Copyright (c) 2023 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.
-->

# bbinary3d

> Apply a binary callback to elements in [broadcasted][@stdlib/array/base/broadcast-array] nested input arrays and assign results to elements in a three-dimensional nested output array.
<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var bbinary3d = require( '@stdlib/array/base/broadcasted-binary3d' );
```

#### bbinary3d( arrays, shapes, fcn )

Applies a binary callback to elements in [broadcasted][@stdlib/array/base/broadcast-array] nested input arrays and assigns results to elements in a three-dimensional nested output array.

```javascript
var zeros3d = require( '@stdlib/array/base/zeros3d' );
var add = require( '@stdlib/math/base/ops/add' );

var x = [ [ 1.0, 2.0 ] ];
var y = [ [ 3.0 ], [ 4.0 ] ];
var z = zeros3d( [ 2, 2, 2 ] );

var shapes = [
[ 1, 2 ],
[ 2, 1 ],
[ 2, 2, 2 ]
];

bbinary3d( [ x, y, z ], shapes, add );
// z => [ [ [ 4.0, 5.0 ], [ 5.0, 6.0 ] ], [ [ 4.0, 5.0 ], [ 5.0, 6.0 ] ] ]
```

The function accepts the following arguments:

- **arrays**: array-like object containing two input nested arrays and one output nested array.
- **shapes**: array shapes.
- **fcn**: binary function to apply.

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- The input and output array shapes must be broadcast [compatible][@stdlib/ndarray/base/broadcast-shapes].

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory;
var filled3dBy = require( '@stdlib/array/base/filled3d-by' );
var zeros3d = require( '@stdlib/array/base/zeros3d' );
var add = require( '@stdlib/math/base/ops/add' );
var bbinary3d = require( '@stdlib/array/base/broadcasted-binary3d' );

var shapes = [
[ 1, 1, 3 ],
[ 3, 1, 1 ],
[ 3, 3, 3 ]
];

var x = filled3dBy( shapes[ 0 ], discreteUniform( -100, 100 ) );
console.log( x );

var y = filled3dBy( shapes[ 1 ], discreteUniform( -100, 100 ) );
console.log( y );

var z = zeros3d( shapes[ 2 ] );
console.log( z );

bbinary3d( [ x, y, z ], shapes, add );
console.log( z );
```

</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/array/base/broadcast-array]: https://github.com/stdlib-js/array/tree/main/base/broadcast-array

[@stdlib/ndarray/base/broadcast-shapes]: https://github.com/stdlib-js/ndarray-base-broadcast-shapes

</section>

<!-- /.links -->
127 changes: 127 additions & 0 deletions base/broadcasted-binary3d/benchmark/benchmark.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2023 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/base/uniform' ).factory;
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var floor = require( '@stdlib/math/base/special/floor' );
var add = require( '@stdlib/math/base/ops/add' );
var filled3dBy = require( './../../../base/filled3d-by' );
var zeros3d = require( './../../../base/zeros3d' );
var numel = require( '@stdlib/ndarray/base/numel' );
var pkg = require( './../package.json' ).name;
var bbinary3d = require( './../lib' );


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveIntegerArray} shape - output array shape
* @returns {Function} benchmark function
*/
function createBenchmark( shape ) {
var arrays;
var shapes;
var x;
var y;
var z;

shapes = [
[ 1, 1, shape[ 2 ] ],
[ shape[ 0 ], 1, 1 ],
shape
];
x = filled3dBy( shapes[ 0 ], uniform( -100.0, 100.0 ) );
y = filled3dBy( shapes[ 1 ], uniform( -100.0, 100.0 ) );
z = zeros3d( shapes[ 2 ] );

arrays = [ x, y, z ];

return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var i0;
var i1;
var i2;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
bbinary3d( arrays, shapes, add );
i2 = i % shapes[ 1 ][ 0 ];
i1 = i % shapes[ 1 ][ 1 ];
i0 = i % shapes[ 1 ][ 2 ];
if ( isnan( arrays[ 2 ][ i2 ][ i1 ][ i0 ] ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();

i2 = i % shapes[ 1 ][ 0 ];
i1 = i % shapes[ 1 ][ 1 ];
i0 = i % shapes[ 1 ][ 2 ];
if ( isnan( arrays[ 2 ][ i2 ][ i1 ][ i0 ] ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

/**
* Main execution sequence.
*
* @private
*/
function main() {
var min;
var max;
var sh;
var N;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
N = floor( pow( pow( 10, i ), 1.0/3.0 ) );
sh = [ N, N, N ];
f = createBenchmark( sh );
bench( pkg+'::equidimensional:size='+numel( sh ), f );
}
}

main();
30 changes: 30 additions & 0 deletions base/broadcasted-binary3d/docs/repl.txt
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{{alias}}( arrays, shapes, fcn )
Applies a binary callback to elements in broadcasted input arrays and
assigns results to elements in a three-dimensional nested output array.

Parameters
----------
arrays: ArrayLikeObject
Array-like object containing two input nested arrays and one output
nested array.

shapes: Array<Array<integer>>
Array shapes.

fcn: Function
Binary callback.

Examples
--------
> var x = [ 1.0, 2.0 ];
> var y = [ [ 3.0 ], [ 4.0 ] ];
> var z = [ [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] ];
> var shapes = [ [ 2 ], [ 2, 1 ], [ 1, 2, 2 ] ];
> {{alias}}( [ x, y, z ], shapes, {{alias:@stdlib/math/base/ops/add}} );
> z
[ [ [ 4.0, 5.0 ], [ 5.0, 6.0 ] ] ]

See Also
--------

90 changes: 90 additions & 0 deletions base/broadcasted-binary3d/docs/types/index.d.ts
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/*
* @license Apache-2.0
*
* Copyright (c) 2023 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.
*/

// TypeScript Version: 4.1

/// <reference types="@stdlib/types"/>

import { Array1D, Array2D, Array3D } from '@stdlib/types/array';
import { Shape1D, Shape2D, Shape3D } from '@stdlib/types/ndarray';

/**
* Binary callback.
*
* @param value - input value
* @returns result
*/
type Binary<T, U, V> = ( v1: T, v2: U ) => V;

/**
* Input array.
*/
type InputArray<T> = Array1D<T> | Array2D<T> | Array3D<T>;

/**
* Input array shape.
*/
type InputArrayShape = Shape1D | Shape2D | Shape3D;

/**
* Output array.
*/
type OutputArray<T> = Array3D<T>;

/**
* Output array shape.
*/
type OutputArrayShape = Shape3D;

/**
* Applies a binary callback to elements in broadcasted input arrays and assigns results to elements in a three-dimensional nested output array.
*
* ## Notes
*
* - The input array shapes must be broadcast compatible with the output array shape.
*
* @param arrays - array containing two input nested arrays and one output nested array
* @param shapes - array shapes
* @param fcn - binary callback
*
* @example
* var ones3d = require( `@stdlib/array/base/ones3d` );
* var zeros3d = require( `@stdlib/array/base/zeros3d` );
* var add = require( `@stdlib/math/base/ops/add` );
*
* var shapes = [
* [ 1, 1, 2 ],
* [ 2, 1, 1 ],
* [ 2, 2, 2 ]
* ];
*
* var x = ones3d( shapes[ 0 ] );
* var y = ones3d( shapes[ 1 ] );
* var z = zeros3d( shapes[ 2 ] );
*
* bbinary3d( [ x, y, z ], shapes, add );
*
* console.log( z );
* // => [ [ [ 2.0, 2.0 ], [ 2.0, 2.0 ] ], [ [ 2.0, 2.0 ], [ 2.0, 2.0 ] ] ]
*/
declare function bbinary3d<T = unknown, U = unknown, V = unknown>( arrays: [ InputArray<T>, InputArray<U>, OutputArray<V> ], shapes: [ InputArrayShape, InputArrayShape, OutputArrayShape ], fcn: Binary<T, U, V> ): void;


// EXPORTS //

export = bbinary3d;
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