Compute the hypotenuse.
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> Compute the [hypotenuse][hypotenuse].
``bash`
npm install @stdlib/math-base-special-fast-hypot
`javascript`
var hypot = require( '@stdlib/math-base-special-fast-hypot' );
#### hypot( x, y )
Computes the [hypotenuse][hypotenuse].
`javascript`
var h = hypot( -5.0, 12.0 );
// returns 13.0
- For a sufficiently large x and/or y, computing the hypotenuse will overflow.
`javascript`
var h = hypot( 1.0e154, 1.0e154 );
// returns Infinity
Similarly, for sufficiently small x and/or y, computing the hypotenuse will underflow.
`javascript`
var h = hypot( 1e-200, 1.0e-200 );
// returns 0.0
`javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var hypot = require( '@stdlib/math-base-special-fast-hypot' );
var opts = {
'dtype': 'float64'
};
var x = discreteUniform( 100, -50, 50, opts );
var y = discreteUniform( 100, -50, 50, opts );
logEachMap( 'hypot(%d,%d) = %0.4f', x, y, hypot );
`
*
`c`
#include "stdlib/math/base/special/fast/hypot.h"
#### stdlib_base_fast_hypot( x, y )
Computes the hypotenuse.
`c`
double h = stdlib_base_fast_hypot( 5.0, 12.0 );
// returns 13.0
The function accepts the following arguments:
- x: [in] double input value.[in] double
- y: input value.
`c`
double stdlib_base_fast_hypot( const double x, const double y );
`c
#include "stdlib/math/base/special/fast/hypot.h"
#include
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_hypot( x[ i ], x[ i + 1 ] );
printf( "hypot(%lf, %lf) = %lf\n", x[ i ], x[ i + 1 ], y );
}
}
`
*
- [@stdlib/math-base/special/hypot][@stdlib/math/base/special/hypot]: compute the hypotenuse avoiding overflow and underflow.
*
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
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---
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[hypotenuse]: https://en.wikipedia.org/wiki/Pythagorean_theorem
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