erfinv
The inverse error function is defined in terms of the Maclaurin series
where c_0 = 1 and
Usage
var erfinv = require( '@stdlib/math/base/special/erfinv' );
erfinv( x )
Evaluates the inverse error function.
var y = erfinv( 0.5 );
// returns ~0.4769
y = erfinv( 0.8 );
// returns ~0.9062
y = erfinv( -1.0 );
// returns -Infinity
y = erfinv( 1.0 );
// returns Infinity
The domain of x is restricted to [-1,1]. If |x| > 1, the function returns NaN.
var y = erfinv( -3.14 );
// returns NaN
If provided NaN, the function returns NaN.
var y = erfinv( NaN );
// returns NaN
The inverse error function is an odd function; i.e., erfinv(-x) = -erfinv(x). Thus, in accordance with the IEEE 754 standard, if provided -0, the function returns -0.
var y = erfinv( -0.0 );
// returns -0.0
Examples
var linspace = require( '@stdlib/array/base/linspace' );
var erfinv = require( '@stdlib/math/base/special/erfinv' );
var x = linspace( -1.0, 1.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'x: %d, erfinv(x): %d', x[ i ], erfinv( x[ i ] ) );
}