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gcdf

Compute the greatest common divisor (gcd) of two single-precision floating-point numbers.

The greatest common divisor (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).

Installation

npm install @stdlib/math-base-special-gcdf

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

var gcdf = require( '@stdlib/math-base-special-gcdf' );

gcdf( a, b )

Computes the greatest common divisor (gcd) of two single-precision floating-point numbers.

var v = gcdf( 48, 18 );
// returns 6

If both a and b are 0, the function returns 0.

var v = gcdf( 0, 0 );
// returns 0

Both a and b must have integer values; otherwise, the function returns NaN.

var v = gcdf( 3.14, 18 );
// returns NaN

v = gcdf( 48, 3.14 );
// returns NaN

v = gcdf( NaN, 18 );
// returns NaN

v = gcdf( 48, NaN );
// returns NaN

Examples

var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var gcdf = require( '@stdlib/math-base-special-gcdf' );

var a = discreteUniform( 100, 0, 50 );
var b = discreteUniform( a.length, 0, 50 );

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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C APIs

Usage

#include "stdlib/math/base/special/gcdf.h"

stdlib_base_gcdf( a, b )

Computes the greatest common divisor (gcd) of two single-precision floating-point numbers.

float v = stdlib_base_gcdf( 48.0f, 18.0f );
// returns 6.0f

The function accepts the following arguments:

• a: [in] float input value.
• b: [in] float input value.

float stdlib_base_gcdf( const float a, const float b );

Examples

#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 );
    }
}

References

• 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.

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Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.