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stdlib-bot committed Jan 27, 2024
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4 changes: 2 additions & 2 deletions base/cartesian-product/docs/types/index.d.ts
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Expand Up @@ -20,7 +20,7 @@

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

import { Collection } from '@stdlib/types/array';
import { Collection, AccessorArrayLike } from '@stdlib/types/array';

/**
* Returns the Cartesian product.
Expand All @@ -40,7 +40,7 @@ import { Collection } from '@stdlib/types/array';
* var out = cartesianProduct( x1, x2 );
* // returns [ [ 1, 4 ], [ 1, 5 ], [ 2, 4 ], [ 2, 5 ], [ 3, 4 ], [ 3, 5 ] ]
*/
declare function cartesianProduct<T = unknown, U = unknown>( x1: Collection<T>, x2: Collection<U> ): Array<[T, U]>;
declare function cartesianProduct<T = unknown, U = unknown>( x1: Collection<T> | AccessorArrayLike<T>, x2: Collection<U> | AccessorArrayLike<U> ): Array<[T, U]>;


// EXPORTS //
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14 changes: 12 additions & 2 deletions base/cartesian-product/lib/main.js
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Expand Up @@ -18,6 +18,11 @@

'use strict';

// MODULES //

var resolveGetter = require( './../../../base/resolve-getter' );


// MAIN //

/**
Expand All @@ -35,20 +40,25 @@
* // returns [ [ 1, 4 ], [ 1, 5 ], [ 2, 4 ], [ 2, 5 ], [ 3, 4 ], [ 3, 5 ] ]
*/
function cartesianProduct( x1, x2 ) {
var get1;
var get2;
var out;
var M;
var N;
var v;
var i;
var j;

get1 = resolveGetter( x1 );
get2 = resolveGetter( x2 );

M = x1.length;
N = x2.length;
out = [];
for ( i = 0; i < M; i++ ) {
v = x1[ i ];
v = get1( x1, i );
for ( j = 0; j < N; j++ ) {
out.push( [ v, x2[ j ] ] );
out.push( [ v, get2( x2, j ) ] );
}
}
return out;
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45 changes: 43 additions & 2 deletions base/cartesian-product/test/test.js
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Expand Up @@ -16,11 +16,14 @@
* limitations under the License.
*/

/* eslint-disable max-len */

'use strict';

// MODULES //

var tape = require( 'tape' );
var toAccessorArray = require( './../../../base/to-accessor-array' );
var cartesianProduct = require( './../lib' );


Expand All @@ -32,7 +35,7 @@ tape( 'main export is a function', function test( t ) {
t.end();
});

tape( 'the function returns the Cartesian product', function test( t ) {
tape( 'the function returns the Cartesian product (indexed)', function test( t ) {
var expected;
var actual;

Expand All @@ -55,7 +58,30 @@ tape( 'the function returns the Cartesian product', function test( t ) {
t.end();
});

tape( 'the function returns an empty array if provided one or more empty arrays', function test( t ) {
tape( 'the function returns the Cartesian product (accessors)', function test( t ) {
var expected;
var actual;

actual = cartesianProduct( toAccessorArray( [ 1, 2 ] ), toAccessorArray( [ 3, 4 ] ) );
expected = [ [ 1, 3 ], [ 1, 4 ], [ 2, 3 ], [ 2, 4 ] ];
t.deepEqual( actual, expected, 'returns expected value' );

actual = cartesianProduct( toAccessorArray( [ 1 ] ), toAccessorArray( [ 3, 4 ] ) );
expected = [ [ 1, 3 ], [ 1, 4 ] ];
t.deepEqual( actual, expected, 'returns expected value' );

actual = cartesianProduct( toAccessorArray( [ 1, 2 ] ), toAccessorArray( [ 3 ] ) );
expected = [ [ 1, 3 ], [ 2, 3 ] ];
t.deepEqual( actual, expected, 'returns expected value' );

actual = cartesianProduct( toAccessorArray( [ 1, 2 ] ), toAccessorArray( [ 3, 4, 5 ] ) );
expected = [ [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ] ];
t.deepEqual( actual, expected, 'returns expected value' );

t.end();
});

tape( 'the function returns an empty array if provided one or more empty arrays (indexed)', function test( t ) {
var actual;

actual = cartesianProduct( [], [] );
Expand All @@ -69,3 +95,18 @@ tape( 'the function returns an empty array if provided one or more empty arrays'

t.end();
});

tape( 'the function returns an empty array if provided one or more empty arrays (accessors)', function test( t ) {
var actual;

actual = cartesianProduct( toAccessorArray( [] ), toAccessorArray( [] ) );
t.deepEqual( actual, [], 'returns expected value' );

actual = cartesianProduct( toAccessorArray( [ 1, 2 ] ), toAccessorArray( [] ) );
t.deepEqual( actual, [], 'returns expected value' );

actual = cartesianProduct( toAccessorArray( [] ), toAccessorArray( [ 3, 4 ] ) );
t.deepEqual( actual, [], 'returns expected value' );

t.end();
});
102 changes: 102 additions & 0 deletions cartesian-product/README.md
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@@ -0,0 +1,102 @@
<!--
@license Apache-2.0
Copyright (c) 2024 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.
-->

# cartesianProduct

> Return the [Cartesian product][cartesian-product].
<section class="usage">

## Usage

```javascript
var cartesianProduct = require( '@stdlib/array/cartesian-product' );
```

#### cartesianProduct( x1, x2 )

Returns the [Cartesian product][cartesian-product].

```javascript
var x1 = [ 1, 2, 3 ];
var x2 = [ 4, 5 ];

var out = cartesianProduct( x1, x2 );
// returns [ [ 1, 4 ], [ 1, 5 ], [ 2, 4 ], [ 2, 5 ], [ 3, 4 ], [ 3, 5 ] ]
```

If provided one or more empty arrays, the function returns an empty array.

```javascript
var x1 = [ 1, 2, 3, 4 ];
var x2 = [];

var out = cartesianProduct( x1, x2 );
// returns []
```

</section>

<!-- /.usage -->

<section class="notes">

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var linspace = require( '@stdlib/array/linspace' );
var cartesianProduct = require( '@stdlib/array/cartesian-product' );

var x1 = linspace( 0, 5, 6 );
var x2 = linspace( 10, 15, 6 );

var out = cartesianProduct( x1, x2 );
// returns [ [ 0, 10 ], [ 0, 11 ], ..., [ 5, 14 ], [ 5, 15 ] ]
```

</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">

[cartesian-product]: https://en.wikipedia.org/wiki/Cartesian_product

</section>

<!-- /.links -->
52 changes: 52 additions & 0 deletions cartesian-product/benchmark/benchmark.js
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 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 isArrayArray = require( '@stdlib/assert/is-array-array' );
var zeroTo = require( './../../zero-to' );
var pkg = require( './../package.json' ).name;
var cartesianProduct = require( './../lib' );


// MAIN //

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

x = zeroTo( 10 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = cartesianProduct( x, x );
if ( typeof v !== 'object' ) {
b.fail( 'should return an array' );
}
}
b.toc();
if ( !isArrayArray( v ) ) {
b.fail( 'should return an array of arrays' );
}
b.pass( 'benchmark finished' );
b.end();
});
96 changes: 96 additions & 0 deletions cartesian-product/benchmark/benchmark.length.js
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@@ -0,0 +1,96 @@
/**
* @license Apache-2.0
*
* Copyright (c) 2024 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 pow = require( '@stdlib/math/base/special/pow' );
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var isArrayArray = require( '@stdlib/assert/is-array-array' );
var pkg = require( './../package.json' ).name;
var cartesianProduct = require( './../lib' );


// FUNCTIONS //

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var x = discreteUniform( len/2, 0, 3 );
var y = [ 1, 2 ];
return benchmark;

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

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = cartesianProduct( x, y );
if ( typeof v !== 'object' ) {
b.fail( 'should return an array' );
}
}
b.toc();
if ( !isArrayArray( v ) ) {
b.fail( 'should return an array of arrays' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

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

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

for ( i = min; i <= max; i++ ) {
len = pow( 10, i );
f = createBenchmark( len );
bench( pkg+':len='+len, f );
}
}

main();
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