maxabs

Return the maximum absolute value.

Usage

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

maxabs( [x[, y[, ...args]]] )

Returns the maximum absolute value.

var v = maxabs( -4.2, 3.14 );
// returns 4.2

v = maxabs( +0.0, -0.0 );
// returns +0.0

v = maxabs( 4.2, 3.14, -1.0, 6.8 );
// returns 6.8

If any argument is NaN, the function returns NaN.

var v = maxabs( 4.2, NaN );
// returns NaN

v = maxabs( NaN, 3.14 );
// returns NaN

If not provided any arguments, the function returns +infinity.

var v = maxabs();
// returns Infinity

Notes

When an empty set is considered a subset of the extended reals (all real numbers, including positive and negative infinity), negative infinity is the least upper bound. Similar to zero being the identity element for the sum of an empty set and to one being the identity element for the product of an empty set, negative infinity is the identity element for the maximum, and thus, maxabs() = +infinity (i.e., the absolute value of negative infinity).

Examples

var randu = require( '@stdlib/random/base/randu' );
var maxabs = require( '@stdlib/math/base/special/maxabs' );

var x;
var y;
var v;
var i;

for ( i = 0; i < 100; i++ ) {
    x = ( randu()*1000.0 ) - 500.0;
    y = ( randu()*1000.0 ) - 500.0;
    v = maxabs( x, y );
    console.log( 'maxabs(%d,%d) = %d', x, y, v );
}