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This manual page is part of the POSIX Programmer's Manual. The Linux implementation of this interface

Application Usage

       The  erfc() function is provided because of the extreme loss of relative accuracy if erf(x) is called for
       large x and the result subtracted from 1.0.

       On error, the expressions (math_errhandling & MATH_ERRNO) and  (math_errhandling  &  MATH_ERREXCEPT)  are
       independent of each other, but at least one of them must be non-zero.

Description

       The  functionality  described  on  this  reference  page is aligned with the ISO C standard. Any conflict
       between the requirements described  here  and  the  ISO C  standard  is  unintentional.  This  volume  of
       POSIX.1‐2017 defers to the ISO C standard.

       These functions shall compute the complementary error function 1.0 - erf(x).

       An   application   wishing   to   check   for  error  situations  should  set  errno  to  zero  and  call
       feclearexcept(FE_ALL_EXCEPT) before  calling  these  functions.  On  return,  if  errno  is  non-zero  or
       fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.

Errors

       These functions may fail if:

       Range Error The result underflows.

                   If  the  integer  expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be
                   set to [ERANGE].  If the integer expression (math_errhandling & MATH_ERREXCEPT) is  non-zero,
                   then the underflow floating-point exception shall be raised.

       Thefollowingsectionsareinformative.

Examples

       None.

Future Directions

       None.

Name

       erfc, erfcf, erfcl — complementary error functions

Prolog

       This  manual  page  is part of the POSIX Programmer's Manual.  The Linux implementation of this interface
       may differ (consult the corresponding Linux manual page for details of Linux behavior), or the  interface
       may not be implemented on Linux.

Rationale

       None.

Return Value

       Upon successful completion, these functions shall return the value of the complementary error function.

       If  the  correct  value  would  cause  underflow,  and is not representable, a range error may occur, and
       erfc(), erfcf(), and erfcl() shall return 0.0,  or  (if  the  IEC  60559  Floating-Point  option  is  not
       supported)  an  implementation-defined value no greater in magnitude than DBL_MIN, FLT_MIN, and LDBL_MIN,
       respectively.

       If x is NaN, a NaN shall be returned.

       If x is ±0, +1 shall be returned.

       If x is -Inf, +2 shall be returned.

       If x is +Inf, +0 shall be returned.

       If the correct value would cause underflow and is representable, a range error may occur and the  correct
       value shall be returned.

See Also

erf(), feclearexcept(), fetestexcept(), isnan()

       The Base Definitions volume of POSIX.1‐2017, Section4.20, TreatmentofErrorConditionsforMathematicalFunctions, <math.h>

Synopsis

       #include <math.h>

       double erfc(double x);
       float erfcf(float x);
       long double erfcl(long double x);

See Also