erfc
The complementary error function is defined as
The complementary error function can also be expressed using Craig's formula
Usage
var erfc = require( '@stdlib/math/base/special/erfc' );
erfc( x )
Evaluates the complementary error function.
var y = erfc( 2.0 );
// returns ~0.0047
y = erfc( -1.0 );
// returns ~1.8427
y = erfc( Infinity );
// returns 0.0
y = erfc( -Infinity );
// returns 2.0
If provided NaN, the function returns NaN.
var y = erfc( NaN );
// returns NaN
Examples
var linspace = require( '@stdlib/array/base/linspace' );
var erfc = require( '@stdlib/math/base/special/erfc' );
var x = linspace( -10.0, 10.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'x: %d, erfc(x): %d', x[ i ], erfc( x[ i ] ) );
}
C APIs
Usage
#include "stdlib/math/base/special/erfc.h"
stdlib_base_erfc( x )
Evaluates the complementary error function.
double out = stdlib_base_erfc( 2.0 );
// returns ~0.0047
out = stdlib_base_erfc( -1.0 );
// returns ~1.8427
The function accepts the following arguments:
- x:
[in] doubleinput value.
double stdlib_base_erfc( const double x );
Examples
#include "stdlib/math/base/special/erfc.h"
#include <stdlib.h>
#include <stdio.h>
int main( void ) {
const double x[] = { -10.0, -7.78, -5.56, -3.33, -1.11, 1.11, 3.33, 5.56, 7.78, 10.0 };
double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_erfc( x[ i ] );
printf( "x: %lf, erfc(x): %lf\n", x[ i ], v );
}
}