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Alpha Max Plus Beta Min

Compute the hypotenuse using the alpha max plus beta min algorithm.

Installation

npm install @stdlib/math-base-special-fast-alpha-max-plus-beta-min

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 ampbm = require( '@stdlib/math-base-special-fast-alpha-max-plus-beta-min' );

ampbm( x, y )

Computes the hypotenuse using the alpha max plus beta min algorithm.

var h = ampbm( -5.0, 12.0 );
// returns ~13.5

ampbm.factory( alpha, beta, [nonnegative[, ints]] )

Returns a function for computing the hypotenuse using coefficients alpha and beta.

var hypot = ampbm.factory( 1.0, 0.5 );

var h = hypot( -5.0, 12.0 );
// returns 14.5

If the returned function should only expect nonnegative arguments, set the nonnegative argument to true.

var hypot = ampbm.factory( 1.0, 0.5, true );

var h = hypot( 5.0, 12.0 );
// returns 14.5

If the returned function should only expect signed 32-bit integers, set the ints argument to true.

var hypot = ampbm.factory( 1.0, 0.5, false, true );

var h = hypot( -5.0, 12.0 );
// returns 14

If the returned function should only expect unsigned 32-bit integer valued arguments, set the nonnegative and ints arguments to true.

var hypot = ampbm.factory( 1.0, 0.5, true, true );

var h = hypot( 5.0, 12.0 );
// returns 14

Notes

• The algorithm computes only an approximation. For precise results, use hypot.

Examples

var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var ampbm = require( '@stdlib/math-base-special-fast-alpha-max-plus-beta-min' );

var x;
var y;
var h;
var i;

for ( i = 0; i < 100; i++ ) {
    x = round( randu()*100.0 ) - 50.0;
    y = round( randu()*100.0 ) - 50.0;
    h = ampbm( x, y );
    console.log( 'hypot(%d,%d) = %d', x, y, h );
}

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C APIs

Usage

#include "stdlib/math/base/special/fast/alpha_max_plus_beta_min.h"

stdlib_base_fast_ampbm( x, y )

Computes the hypotenuse using the alpha max plus beta min algorithm.

double h = stdlib_base_fast_ampbm( -5.0, 12.0 ); 
// returns ~13.5

Examples

#include "stdlib/math/base/special/fast/alpha_max_plus_beta_min.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { 3.0, 4.0, 5.0, 12.0 };

    double y;
    int i;
    for ( i = 0; i < 4; i += 2 ) {
        y = stdlib_base_fast_ampbm( x[ i ], x[ i + 1 ] );
        printf( "ampbm(%lf, %lf) = %lf\n", x[ i ], x[ i + 1 ], y );
    }
}

References

• Lyons, Richard G. 2011. Understanding Digital Signal Processing, 3rd Edition. Prentice Hall.

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See Also

• @stdlib/math-base/special/hypot: compute the hypotenuse avoiding overflow and underflow.

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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.