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ERFC(P)			   POSIX Programmer's Manual		       ERFC(P)

NAME
       erfc, erfcf, erfcl - complementary error functions

SYNOPSIS
       #include <math.h>

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

DESCRIPTION
       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.

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    either  0.0	 (if  representable),  or   an
       implementation-defined value shall be returned.

       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.

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.

       The following sections are informative.

EXAMPLES
       None.

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.

       Note  for  IEEE Std 754-1985  double,  26.55  <	x implies erfc( x) has
       underflowed.

       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.

RATIONALE
       None.

FUTURE DIRECTIONS
       None.

SEE ALSO
       erf() , feclearexcept() , fetestexcept() , isnan() , the	 Base  Defini‐
       tions  volume of IEEE Std 1003.1-2001, Section 4.18, Treatment of Error
       Conditions for Mathematical Functions, <math.h>

COPYRIGHT
       Portions of this text are reprinted and reproduced in  electronic  form
       from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology
       -- Portable Operating System Interface (POSIX),	The  Open  Group  Base
       Specifications  Issue  6,  Copyright  (C) 2001-2003 by the Institute of
       Electrical and Electronics Engineers, Inc and The Open  Group.  In  the
       event of any discrepancy between this version and the original IEEE and
       The Open Group Standard, the original IEEE and The Open Group  Standard
       is  the	referee document. The original Standard can be obtained online
       at http://www.opengroup.org/unix/online.html .

IEEE/The Open Group		     2003			       ERFC(P)
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