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Name

erfc, erfcf, erfcl - complementary error function

Library

Math library ( libm ", " -lm )

Synopsis

#include <math.h> 
double erfc(double  x );
float erfcf(float x );
long double erfcl(long double x );

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

erfc()

    _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L || _XOPEN_SOURCE
        || /* Since glibc 2.19: */ _DEFAULT_SOURCE
        || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

erfcf() erfcl()

    _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
        || /* Since glibc 2.19: */ _DEFAULT_SOURCE
        || /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE

Description

These functions return the complementary error function of x, that is, 1.0 - erf(x).

Return Value

On success, these functions return the complementary error function of x, a value in the range [0,2].

If x is a NaN, a NaN is returned.

If x is +0 or -0, 1 is returned.

If x is positive infinity, +0 is returned.

If x is negative infinity, +2 is returned.

If the function result underflows and produces an unrepresentable value, the return value is 0.0.

If the function result underflows but produces a representable (i.e., subnormal) value, that value is returned, and a range error occurs.

Errors

See math_error(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

Range error: result underflow (result is subnormal) An underflow floating-point exception ( FE_UNDERFLOW ) is raised.

These functions do not set errno.

Attributes

For an explanation of the terms used in this section, see attributes(7). allbox; lbx lb lb T{ erfc()erfcf()erfcl()
InterfaceAttributeValue
T}Thread safetyMT-Safe

Standards

C11, POSIX.1-2008.

History

C99, POSIX.1-2001.

The variant returning double also conforms to SVr4, 4.3BSD.

Notes

The erfc() erfcf() and erfcl() functions are provided to avoid the loss accuracy that would occur for the calculation 1-erf(x) for large values of x (for which the value of erf(x) approaches 1).

See Also

  1. cerf(3),
  2. erf(3),
  3. exp(3)