Evaluates a scaled function related to erfc(z).

Synopsis

#include <imsl.h>

f_complex imsl_c_erfe (f_complex z)

The type double complex function is imsl_z_erfe.

Required Arguments

f_complex z (Input)
Complex argument for which the function value is desired.

Return Value

 Complex scaled function value related to erfc(z).

Description

Function imsl_c_erfe is defined to be

Let b = imsl_f_machine(2) be the largest floating-point number. The argument z must satisfy

or else the value returned is zero. If the argument z does not satisfy

(Áz)² - (Âz)² £ log b,

 then b is returned. All other arguments are legal (Gautschi 1969, 1970).

Example

In this example, imsl_c_erfe(2.5 + 2.5i) is computed and printed.

 

#include "imsl.h"

main()

{

   f_complex value, z;

 

   z = imsl_cf_convert(2.5, 2.5);

   value = imsl_c_erfe(z);

printf("\n erfe(%2.3f + %2.3fi) = %2.3f + %2.3fi \n", z.re, z.im, value.re, value.im);

           z.re, z.im, value.re, value.im);

}

Output

 erfe(2.500 + 2.500i) = 0.117 + 0.108i

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