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PR-URL: #2997 Ref: #649 Co-authored-by: Philipp Burckhardt <[email protected]> Reviewed-by: Philipp Burckhardt <[email protected]> Reviewed-by: Gunj Joshi <[email protected]> Signed-off-by: Aayush Khanna <[email protected]> Signed-off-by: Philipp Burckhardt <[email protected]>
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lib/node_modules/@stdlib/math/base/special/gcdf/README.md
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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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# gcdf | ||
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> Compute the [greatest common divisor][gcd] (gcd) of two single-precision floating point numbers. | ||
<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> | ||
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<section class="intro"> | ||
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The [greatest common divisor][gcd] (gcd) of two non-zero integers `a` and `b` is the largest positive integer which divides both `a` and `b` without a remainder. The gcd is also known as the **greatest common factor** (gcf), **highest common factor** (hcf), **highest common divisor**, and **greatest common measure** (gcm). | ||
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</section> | ||
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<!-- /.intro --> | ||
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<!-- Package usage documentation. --> | ||
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<section class="usage"> | ||
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## Usage | ||
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```javascript | ||
var gcdf = require( '@stdlib/math/base/special/gcdf' ); | ||
``` | ||
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#### gcdf( a, b ) | ||
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Computes the [greatest common divisor][gcd] (gcd). | ||
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```javascript | ||
var v = gcdf( 48, 18 ); | ||
// returns 6 | ||
``` | ||
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If both `a` and `b` are `0`, the function returns `0`. | ||
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```javascript | ||
var v = gcdf( 0, 0 ); | ||
// returns 0 | ||
``` | ||
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Both `a` and `b` must have integer values; otherwise, the function returns `NaN`. | ||
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```javascript | ||
var v = gcdf( 3.14, 18 ); | ||
// returns NaN | ||
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v = gcdf( 48, 3.14 ); | ||
// returns NaN | ||
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v = gcdf( NaN, 18 ); | ||
// returns NaN | ||
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v = gcdf( 48, NaN ); | ||
// returns NaN | ||
``` | ||
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</section> | ||
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<!-- /.usage --> | ||
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<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> | ||
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<section class="notes"> | ||
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</section> | ||
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<!-- /.notes --> | ||
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<!-- Package usage examples. --> | ||
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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/array/discrete-uniform' ); | ||
var gcdf = require( '@stdlib/math/base/special/gcdf' ); | ||
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var a = discreteUniform( 100, 0, 50 ); | ||
var b = discreteUniform( a.length, 0, 50 ); | ||
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var i; | ||
for ( i = 0; i < a.length; i++ ) { | ||
console.log( 'gcdf(%d,%d) = %d', a[ i ], b[ i ], gcdf( a[ i ], b[ i ] ) ); | ||
} | ||
``` | ||
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</section> | ||
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<!-- /.examples --> | ||
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<!-- C interface documentation. --> | ||
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* * * | ||
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<section class="c"> | ||
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## C APIs | ||
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> | ||
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<section class="intro"> | ||
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</section> | ||
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<!-- /.intro --> | ||
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<!-- C usage documentation. --> | ||
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<section class="usage"> | ||
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### Usage | ||
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```c | ||
#include "stdlib/math/base/special/gcdf.h" | ||
``` | ||
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#### stdlib_base_gcdf( a, b ) | ||
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Computes the greatest common divisor (gcd). | ||
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```c | ||
float v = stdlib_base_gcdf( 48.0f, 18.0f ); | ||
// returns 6.0f | ||
``` | ||
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The function accepts the following arguments: | ||
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- **a**: `[in] float` input value. | ||
- **b**: `[in] float` input value. | ||
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```c | ||
float stdlib_base_gcdf( const float a, const float b ); | ||
``` | ||
</section> | ||
<!-- /.usage --> | ||
<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> | ||
<section class="notes"> | ||
</section> | ||
<!-- /.notes --> | ||
<!-- C API usage examples. --> | ||
<section class="examples"> | ||
### Examples | ||
```c | ||
#include "stdlib/math/base/special/gcdf.h" | ||
#include <stdio.h> | ||
int main( void ) { | ||
const float a[] = { 24.0f, 32.0f, 48.0f, 116.0f, 33.0f }; | ||
const float b[] = { 12.0f, 6.0f, 15.0f, 52.0f, 22.0f }; | ||
float out; | ||
int i; | ||
for ( i = 0; i < 5; i++ ) { | ||
out = stdlib_base_gcdf( a[ i ], b[ i ] ); | ||
printf( "gcdf(%f, %f) = %f\n", a[ i ], b[ i ], out ); | ||
} | ||
} | ||
``` | ||
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</section> | ||
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<!-- /.examples --> | ||
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</section> | ||
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<!-- /.c --> | ||
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<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> | ||
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<section class="references"> | ||
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## References | ||
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- Stein, Josef. 1967. "Computational problems associated with Racah algebra." _Journal of Computational Physics_ 1 (3): 397–405. doi:[10.1016/0021-9991(67)90047-2][@stein:1967]. | ||
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</section> | ||
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<!-- /.references --> | ||
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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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[gcd]: https://en.wikipedia.org/wiki/Greatest_common_divisor | ||
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[@stein:1967]: https://doi.org/10.1016/0021-9991(67)90047-2 | ||
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<!-- <related-links> --> | ||
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<!-- </related-links> --> | ||
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</section> | ||
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<!-- /.links --> |
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lib/node_modules/@stdlib/math/base/special/gcdf/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. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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var bench = require( '@stdlib/bench' ); | ||
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); | ||
var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); | ||
var pkg = require( './../package.json' ).name; | ||
var gcdf = require( './../lib' ); | ||
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// MAIN // | ||
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bench( pkg, function benchmark( b ) { | ||
var x; | ||
var y; | ||
var z; | ||
var i; | ||
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x = discreteUniform( 100, 1.0, 100.0 ); | ||
y = discreteUniform( 100, 1.0, 100.0 ); | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
z = gcdf( x[ i%x.length ], y[ i%y.length ] ); | ||
if ( isnanf( z ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnanf( z ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
}); |
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lib/node_modules/@stdlib/math/base/special/gcdf/benchmark/benchmark.native.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. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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var resolve = require( 'path' ).resolve; | ||
var bench = require( '@stdlib/bench' ); | ||
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); | ||
var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); | ||
var tryRequire = require( '@stdlib/utils/try-require' ); | ||
var pkg = require( './../package.json' ).name; | ||
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// VARIABLES // | ||
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var gcdf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); | ||
var opts = { | ||
'skip': ( gcdf instanceof Error ) | ||
}; | ||
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// MAIN // | ||
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bench( pkg+'::native', opts, function benchmark( b ) { | ||
var x; | ||
var y; | ||
var z; | ||
var i; | ||
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x = discreteUniform( 100, 1.0, 100.0 ); | ||
y = discreteUniform( 100, 1.0, 100.0 ); | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
z = gcdf( x[ i%x.length ], y[ i%y.length ] ); | ||
if ( isnanf( z ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnanf( z ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
}); |
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