erfc(), erfcf(), erfcl()

QNX SDP8.0C Library ReferenceAPIDeveloper

Complementary error function

Synopsis:

#include <math.h>

double erfc ( double x );

float erfcf ( float x );

long double erfcl( long double x );

Arguments:

x
The number for which you want to compute the complementary error function.

Library:

libm
The general-purpose math library.
libm-sve
A library that optimizes the code for ARMv8.2 chips that have Scalable Vector Extension hardware.

Your system requirements will determine how you should work with these libraries:

  • If you want only selected processes to run with the SVE version, you can include both libraries in your OS image and use the -l m or -l m-sve option to qcc to link explicitly against the appropriate one.
  • If you want all processes to use the SVE version, include libm-sve.so in your OS image and set up a symbolic link from libm.so to libm-sve.so. Use the -l m option to qcc to link against the library.
Note:
Compile your program with the -fno-builtin option to prevent the compiler from using a built-in version of the function.

Description:

The erfc(), erfcf(), and erfcl() functions calculate the complementary error function of x (i.e., the result of the error function, erf(), subtracted from 1.0). This is useful because the error function isn't very accurate when x is large.

The erf() function computes:
erf(x) = 2/sqrt(pi)*integral from 0 to x of exp(-t*t) dt

This equality is true: erfc(-x) = 2 - erfc(x)

To check for error situations, use feclearexcept() and fetestexcept(). For example:

  • Call feclearexcept(FE_ALL_EXCEPT) before calling erfc(), erfcf(), or erfcl().
  • On return, if fetestexcept(FE_ALL_EXCEPT) is nonzero, then an error has occurred.

Returns:

The value of the error function.

If x is: These functions return: Errors:
±0.0 1.0
A value that would cause underflow 0.0 FE_UNDERFLOW
-Inf 2.0
Inf 0.0
NaN NaN

These functions raise FE_INEXACT if the FPU reports that the result can't be exactly represented as a floating-point number.

Classification:

C11, POSIX 1003.1

Safety:
Cancellation pointNo
Signal handlerYes
ThreadYes
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