Section: POSIX Programmer's Manual (3P)
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.
--- complementary error functions
double erfc(double x);
float erfcf(float x);
long double erfcl(long double x);
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.1-2008 defers to the ISO C standard.
These functions shall compute the complementary error function 1.0 -
An application wishing to check for error situations should set
to zero and call
before calling these functions. On return, if
is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO |
FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.
Upon successful completion, these functions shall return the value of
the complementary error function.
If the correct value would cause underflow,
and is not
a range error may occur, and
(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.
is NaN, a NaN shall be returned.
is ±0, +1 shall be returned.
is -Inf, +2 shall be returned.
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.
These functions may fail if:
- Range Error
The result underflows.
If the integer expression (math_errhandling & MATH_ERRNO) is
shall be set to
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.
function is provided because of the extreme loss of relative accuracy if
is called for large
and the result subtracted from 1.0.
Note for IEEE Std 754-1985
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.
The Base Definitions volume of POSIX.1-2008,
Section 4.19, Treatment of Error Conditions for Mathematical Functions,
Portions of this text are reprinted and reproduced in electronic form
from IEEE Std 1003.1, 2013 Edition, Standard for Information Technology
-- Portable Operating System Interface (POSIX), The Open Group Base
Specifications Issue 7, Copyright (C) 2013 by the Institute of
Electrical and Electronics Engineers, Inc and The Open Group.
(This is POSIX.1-2008 with the 2013 Technical Corrigendum 1 applied.) 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
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