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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. | ||
--> | ||
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# cartesianProduct | ||
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> Return the [Cartesian product][cartesian-product]. | ||
<section class="usage"> | ||
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## Usage | ||
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```javascript | ||
var cartesianProduct = require( '@stdlib/array/cartesian-product' ); | ||
``` | ||
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#### cartesianProduct( x1, x2 ) | ||
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Returns the [Cartesian product][cartesian-product]. | ||
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```javascript | ||
var x1 = [ 1, 2, 3 ]; | ||
var x2 = [ 4, 5 ]; | ||
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var out = cartesianProduct( x1, x2 ); | ||
// returns [ [ 1, 4 ], [ 1, 5 ], [ 2, 4 ], [ 2, 5 ], [ 3, 4 ], [ 3, 5 ] ] | ||
``` | ||
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If provided one or more empty arrays, the function returns an empty array. | ||
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```javascript | ||
var x1 = [ 1, 2, 3, 4 ]; | ||
var x2 = []; | ||
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var out = cartesianProduct( x1, x2 ); | ||
// returns [] | ||
``` | ||
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</section> | ||
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<!-- /.usage --> | ||
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<section class="notes"> | ||
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</section> | ||
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<!-- /.notes --> | ||
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<section class="examples"> | ||
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## Examples | ||
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<!-- eslint no-undef: "error" --> | ||
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```javascript | ||
var linspace = require( '@stdlib/array/linspace' ); | ||
var cartesianProduct = require( '@stdlib/array/cartesian-product' ); | ||
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var x1 = linspace( 0, 5, 6 ); | ||
var x2 = linspace( 10, 15, 6 ); | ||
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var out = cartesianProduct( x1, x2 ); | ||
// returns [ [ 0, 10 ], [ 0, 11 ], ..., [ 5, 14 ], [ 5, 15 ] ] | ||
``` | ||
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</section> | ||
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<!-- /.examples --> | ||
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> | ||
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<section class="related"> | ||
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</section> | ||
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<!-- /.related --> | ||
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> | ||
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<section class="links"> | ||
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[cartesian-product]: https://en.wikipedia.org/wiki/Cartesian_product | ||
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</section> | ||
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<!-- /.links --> |
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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. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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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' ); | ||
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// MAIN // | ||
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bench( pkg+':len=100', function benchmark( b ) { | ||
var x; | ||
var i; | ||
var v; | ||
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x = zeroTo( 10 ); | ||
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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(); | ||
}); |
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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. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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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' ); | ||
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// FUNCTIONS // | ||
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/** | ||
* 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; | ||
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/** | ||
* Benchmark function. | ||
* | ||
* @private | ||
* @param {Benchmark} b - benchmark instance | ||
*/ | ||
function benchmark( b ) { | ||
var v; | ||
var i; | ||
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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(); | ||
} | ||
} | ||
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// MAIN // | ||
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/** | ||
* Main execution sequence. | ||
* | ||
* @private | ||
*/ | ||
function main() { | ||
var len; | ||
var min; | ||
var max; | ||
var f; | ||
var i; | ||
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min = 1; // 10^min | ||
max = 6; // 10^max | ||
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for ( i = min; i <= max; i++ ) { | ||
len = pow( 10, i ); | ||
f = createBenchmark( len ); | ||
bench( pkg+':len='+len, f ); | ||
} | ||
} | ||
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main(); |
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