Complementary error function
#include <math.h> double erfc ( double x ); float erfcf ( float x ); long double erfcl( long double x );
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:
This equality is true: erfc(-x) = 2 - erfc(x)
To check for error situations, use feclearexcept() and fetestexcept(). For example:
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.
Safety: | |
---|---|
Cancellation point | No |
Interrupt handler | No |
Signal handler | No |
Thread | Yes |