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

0.2.1 • Public • Published

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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`

## 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```

## 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 );
}```

## References

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

## 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.

## Package Sidebar

### Install

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

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