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198 changes: 198 additions & 0 deletions base/flatten2d-by/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.
-->

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

# flatten2dBy

> Flatten a two-dimensional nested array according to a callback function.
<section class="usage">

## Usage

```javascript
var flatten2dBy = require( '@stdlib/array/base/flatten2d-by' );
```

#### flatten2dBy( x, shape, colexicographic, clbk\[, thisArg] )

Flattens a two-dimensional nested array according to a callback function.

```javascript
function scale( v ) {
return v * 2;
}

var x = [ [ 1, 2 ], [ 3, 4 ] ];

var out = flatten2dBy( x, [ 2, 2 ], false, scale );
// returns [ 2, 4, 6, 8 ]
```

To flatten in colexicographic order, provide a third argument equal to `true`.

```javascript
function scale( v ) {
return v * 2;
}

var x = [ [ 1, 2 ], [ 3, 4 ] ];

var out = flatten2dBy( x, [ 2, 2 ], true, scale );
// returns [ 2, 6, 4, 8 ]
```

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

<!-- eslint-disable no-invalid-this -->

```javascript
function scale( v ) {
this.count += 1;
return v * 2;
}

var x = [ [ 1, 2 ], [ 3, 4 ] ];
var ctx = {
'count': 0
};

var out = flatten2dBy( x, [ 2, 2 ], false, scale, ctx );
// returns [ 2, 4, 6, 8 ]

var count = ctx.count;
// returns 4
```

#### flatten2dBy.assign( x, shape, colexicographic, out, stride, offset, clbk\[, thisArg] )

Flattens a two-dimensional nested array according to a callback function and assigns elements to a provided output array.

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

function scale( v ) {
return v * 2;
}

var x = [ [ 1, 2 ], [ 3, 4 ] ];
var out = new Float64Array( 4 );

var y = flatten2dBy.assign( x, [ 2, 2 ], false, out, 1, 0, scale );
// returns <Float64Array>[ 2, 4, 6, 8 ]

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

y = flatten2dBy.assign( x, [ 2, 2 ], true, out, 1, 0, scale );
// returns <Float64Array>[ 2, 6, 4, 8 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- A callback function is provided the following arguments:

- **value**: nested array element.
- **indices**: element indices (in lexicographic order).
- **arr**: the input array.

- Both functions assume that all nested arrays have the same length (i.e., the input array is **not** a ragged array).

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var naryFunction = require( '@stdlib/utils/nary-function' );
var abs = require( '@stdlib/math/base/special/abs' );
var flatten2dBy = require( '@stdlib/array/base/flatten2d-by' );

var fcn = naryFunction( abs, 1 );

var x = [
[ -1, -2, -3, -4 ],
[ -5, -6, -7, -8 ],
[ -9, -10, -11, -12 ],
[ -13, -14, -15, -16 ]
];

var out = flatten2dBy( x, [ 0, 0 ], false, fcn );
// returns []

out = flatten2dBy( x, [ 0, 0 ], true, fcn );
// returns []

out = flatten2dBy( x, [ 1, 1 ], false, fcn );
// returns [ 1 ]

out = flatten2dBy( x, [ 1, 1 ], true, fcn );
// returns [ 1 ]

out = flatten2dBy( x, [ 2, 2 ], false, fcn );
// returns [ 1, 2, 5, 6 ]

out = flatten2dBy( x, [ 2, 2 ], true, fcn );
// returns [ 1, 5, 2, 6 ]

out = flatten2dBy( x, [ 3, 3 ], false, fcn );
// returns [ 1, 2, 3, 5, 6, 7, 9, 10, 11 ]

out = flatten2dBy( x, [ 3, 3 ], true, fcn );
// returns [ 1, 5, 9, 2, 6, 10, 3, 7, 11 ]

out = flatten2dBy( x, [ 4, 4 ], false, fcn );
// returns [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 ]

out = flatten2dBy( x, [ 4, 4 ], true, fcn );
// returns [ 1, 5, 9, 13, 2, 6, 10, 14, 3, 7, 11, 15, 4, 8, 12, 16 ]
```

</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">

</section>

<!-- /.links -->
143 changes: 143 additions & 0 deletions base/flatten2d-by/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 isArray = require( '@stdlib/assert/is-array' );
var isFloat64Array = require( '@stdlib/assert/is-float64array' );
var zeroTo = require( './../../../base/zero-to' );
var filled = require( './../../../base/filled' );
var Float64Array = require( './../../../float64' );
var pkg = require( './../package.json' ).name;
var flatten2dBy = require( './../lib' );


// FUNCTIONS //

/**
* Scales an input value.
*
* @private
* @param {number} v - input value
* @returns {number} output value
*
* @example
* var v = scale( 2.0 );
* // returns 4.0
*/
function scale( v ) {
return v * 2.0;
}


// MAIN //

bench( pkg+':size=100,lexicographic', function benchmark( b ) {
var x;
var i;
var v;

x = filled( zeroTo( 10 ), 10 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = flatten2dBy( x, [ 10, 10 ], false, scale );
if ( typeof v !== 'object' ) {
b.fail( 'should return an array' );
}
}
b.toc();
if ( !isArray( v ) ) {
b.fail( 'should return an array' );
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+':size=100,colexicographic', function benchmark( b ) {
var x;
var i;
var v;

x = filled( zeroTo( 10 ), 10 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = flatten2dBy( x, [ 10, 10 ], true, scale );
if ( typeof v !== 'object' ) {
b.fail( 'should return an array' );
}
}
b.toc();
if ( !isArray( v ) ) {
b.fail( 'should return an array' );
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+':assign:size=100,lexicographic', function benchmark( b ) {
var out;
var x;
var i;
var v;

out = new Float64Array( 100 );
x = filled( zeroTo( 10 ), 10 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = flatten2dBy.assign( x, [ 10, 10 ], false, out, 1, 0, scale );
if ( typeof v !== 'object' ) {
b.fail( 'should return a Float64Array' );
}
}
b.toc();
if ( !isFloat64Array( v ) ) {
b.fail( 'should return a Float64Array' );
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+':assign:size=100,colexicographic', function benchmark( b ) {
var out;
var x;
var i;
var v;

out = new Float64Array( 100 );
x = filled( zeroTo( 10 ), 10 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = flatten2dBy.assign( x, [ 10, 10 ], true, out, 1, 0, scale );
if ( typeof v !== 'object' ) {
b.fail( 'should return a Float64Array' );
}
}
b.toc();
if ( !isFloat64Array( v ) ) {
b.fail( 'should return a Float64Array' );
}
b.pass( 'benchmark finished' );
b.end();
});
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