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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. | ||
--> | ||
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# quaternary4d | ||
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> Apply a quaternary callback to elements in four four-dimensional nested input arrays and assign results to elements in a four-dimensional nested output array. | ||
<section class="intro"> | ||
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</section> | ||
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<!-- /.intro --> | ||
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<section class="usage"> | ||
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## Usage | ||
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```javascript | ||
var quaternary4d = require( '@stdlib/array/base/quaternary4d' ); | ||
``` | ||
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#### quaternary4d( arrays, shape, fcn ) | ||
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Applies a quaternary callback to elements in four four-dimensional nested input arrays and assigns results to elements in a four-dimensional nested output array. | ||
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```javascript | ||
var add = require( '@stdlib/math/base/ops/add4' ); | ||
var zeros4d = require( '@stdlib/array/base/zeros4d' ); | ||
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var x = [ [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ] ]; | ||
var out = zeros4d( [ 1, 1, 2, 2 ] ); | ||
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var shape = [ 1, 1, 2, 2 ]; | ||
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quaternary4d( [ x, x, x, x, out ], shape, add ); | ||
// out => [ [ [ [ 4.0, 8.0 ], [ 12.0, 16.0 ] ] ] ] | ||
``` | ||
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The function accepts the following arguments: | ||
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- **arrays**: array-like object containing four input nested arrays and one output nested array. | ||
- **shape**: array shape. | ||
- **fcn**: quaternary function to apply. | ||
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</section> | ||
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<!-- /.usage --> | ||
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<section class="notes"> | ||
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## Notes | ||
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- The function assumes that the input and output arrays have the same shape. | ||
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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 discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory; | ||
var filled4dBy = require( '@stdlib/array/base/filled4d-by' ); | ||
var zeros4d = require( '@stdlib/array/base/zeros4d' ); | ||
var add = require( '@stdlib/math/base/ops/add4' ); | ||
var quaternary4d = require( '@stdlib/array/base/quaternary4d' ); | ||
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var shape = [ 1, 3, 3, 3 ]; | ||
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var x = filled4dBy( shape, discreteUniform( -100, 100 ) ); | ||
console.log( x ); | ||
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var y = filled4dBy( shape, discreteUniform( -100, 100 ) ); | ||
console.log( y ); | ||
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var z = filled4dBy( shape, discreteUniform( -100, 100 ) ); | ||
console.log( z ); | ||
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var w = filled4dBy( shape, discreteUniform( -100, 100 ) ); | ||
console.log( w ); | ||
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var out = zeros4d( shape ); | ||
console.log( out ); | ||
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quaternary4d( [ x, y, z, w, out ], shape, add ); | ||
console.log( out ); | ||
``` | ||
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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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</section> | ||
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<!-- /.links --> |
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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. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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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 filled4dBy = require( './../../../base/filled4d-by' ); | ||
var zeros4d = require( './../../../base/zeros4d' ); | ||
var numel = require( '@stdlib/ndarray/base/numel' ); | ||
var add = require( '@stdlib/math/base/ops/add4' ); | ||
var pkg = require( './../package.json' ).name; | ||
var quaternary4d = require( './../lib' ); | ||
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// FUNCTIONS // | ||
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/** | ||
* Creates a benchmark function. | ||
* | ||
* @private | ||
* @param {PositiveIntegerArray} shape - array shape | ||
* @returns {Function} benchmark function | ||
*/ | ||
function createBenchmark( shape ) { | ||
var arrays; | ||
var out; | ||
var x; | ||
var y; | ||
var z; | ||
var w; | ||
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x = filled4dBy( shape, uniform( -100.0, 100.0 ) ); | ||
y = filled4dBy( shape, uniform( -100.0, 100.0 ) ); | ||
z = filled4dBy( shape, uniform( -100.0, 100.0 ) ); | ||
w = filled4dBy( shape, uniform( -100.0, 100.0 ) ); | ||
out = zeros4d( shape ); | ||
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arrays = [ x, y, z, w, out ]; | ||
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return benchmark; | ||
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/** | ||
* Benchmark function. | ||
* | ||
* @private | ||
* @param {Benchmark} b - benchmark instance | ||
*/ | ||
function benchmark( b ) { | ||
var i0; | ||
var i1; | ||
var i2; | ||
var i3; | ||
var i; | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
quaternary4d( arrays, shape, add ); | ||
i3 = i % shape[ 0 ]; | ||
i2 = i % shape[ 1 ]; | ||
i1 = i % shape[ 2 ]; | ||
i0 = i % shape[ 3 ]; | ||
if ( isnan( arrays[ 4 ][ i3 ][ i2 ][ i1 ][ i0 ] ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
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i3 = i % shape[ 0 ]; | ||
i2 = i % shape[ 1 ]; | ||
i1 = i % shape[ 2 ]; | ||
i0 = i % shape[ 3 ]; | ||
if ( isnan( arrays[ 4 ][ i3 ][ i2 ][ i1 ][ i0 ] ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
} | ||
} | ||
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// MAIN // | ||
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/** | ||
* Main execution sequence. | ||
* | ||
* @private | ||
*/ | ||
function main() { | ||
var min; | ||
var max; | ||
var sh; | ||
var N; | ||
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++ ) { | ||
N = floor( pow( pow( 10, i ), 1.0/4.0 ) ); | ||
sh = [ N, N, N, N ]; | ||
f = createBenchmark( sh ); | ||
bench( pkg+'::equidimensional:size='+numel( sh ), f ); | ||
} | ||
} | ||
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main(); |
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{{alias}}( arrays, shape, fcn ) | ||
Applies a quaternary callback to elements in four four-dimensional nested | ||
input arrays and assigns results to elements in a four-dimensional nested | ||
output array. | ||
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Parameters | ||
---------- | ||
arrays: ArrayLikeObject | ||
Array-like object containing four input nested arrays and one output | ||
nested array. | ||
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shape: Array<integer> | ||
Array shape. | ||
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fcn: Function | ||
Quaternary callback. | ||
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Examples | ||
-------- | ||
> function fcn( x, y, z, w ) { return x + y + z + w; }; | ||
> var x = [ [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ] ]; | ||
> var y = [ [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ] ]; | ||
> var z = [ [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ] ]; | ||
> var w = [ [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ] ]; | ||
> var out = [ [ [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] ] ]; | ||
> var shape = [ 1, 1, 2, 2 ]; | ||
> {{alias}}( [ x, y, z, w, out ], shape, fcn ); | ||
> out | ||
[ [ [ [ 4.0, 8.0 ], [ 12.0, 16.0 ] ] ] ] | ||
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See Also | ||
-------- | ||
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