erfcinv
The inverse complementary error function is defined as
where erf^{-1}(z) is the inverse error function.
Usage
var erfcinv = require( '@stdlib/math/base/special/erfcinv' );
erfcinv( x )
Evaluates the inverse complementary error function.
var y = erfcinv( 0.5 );
// returns ~0.4769
y = erfcinv( 0.8 );
// returns ~0.1791
y = erfcinv( 0.0 );
// returns Infinity
y = erfcinv( 2.0 );
// returns -Infinity
The domain of x is restricted to [0,2]. If x is outside this interval, the function returns NaN.
var y = erfcinv( -3.14 );
// returns NaN
If provided NaN, the function returns NaN.
var y = erfcinv( NaN );
// returns NaN
Examples
var linspace = require( '@stdlib/array/base/linspace' );
var erfcinv = require( '@stdlib/math/base/special/erfcinv' );
var x = linspace( 0.0, 2.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'x: %d, erfcinv(x): %d', x[ i ], erfcinv( x[ i ] ) );
}
C APIs
Usage
#include "stdlib/math/base/special/erfcinv.h"
stdlib_base_erfcinv( x )
Evaluates the inverse complementary error function.
double out = stdlib_base_erfcinv( 0.5 );
// returns ~0.4769
out = stdlib_base_erfcinv( 0.8 );
// returns ~0.1791
The function accepts the following arguments:
- x:
[in] doubleinput value.
double stdlib_base_erfcinv( const double x );
Examples
#include "stdlib/math/base/special/erfcinv.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 0.0, 0.22, 0.44, 0.67, 0.89, 1.11, 1.33, 1.56, 1.78, 2.0 };
double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_erfcinv( x[ i ] );
printf( "x: %lf, erfcinv(x): %lf\n", x[ i ], v );
}
}