Computes the complementary error function value of vector elements.
Syntax
FORTRAN:
call vserfc( n, a, y )
call vmserfc( n, a, y, mode )
call vderfc( n, a, y )
call vmderfc( n, a, y, mode )
C:
vsErfc( n, a, y );
vmsErfc( n, a, y, mode );
vdErfc( n, a, y );
vmdErfc( n, a, y, mode );
Input Parameters
Name |
Type |
Description |
|---|---|---|
n |
FORTRAN 77: INTEGER Fortran 90: INTEGER, INTENT(IN) C: const int |
Specifies the number of elements to be calculated. |
a |
FORTRAN 77: REAL for vserfc, vmserfc DOUBLE PRECISION for vderfc, vmderfc Fortran 90: REAL, INTENT(IN) for vserfc, vmserfc DOUBLE PRECISION, INTENT(IN) for vderfc, vmderfc C: const float* for vsErfc, vmsErfc const double* for vdErfc, vmdErfc |
FORTRAN: Array that specifies the input vector a. C: Pointer to an array that contains the input vector a. |
mode |
FORTRAN 77: INTEGER*8 Fortran 90: INTEGER(KIND=8), INTENT(IN) C: const MKL_INT64 |
Overrides global VML mode setting for this function call. See vmlSetMode for possible values and their description. |
Output Parameters
Name |
Type |
Description |
|---|---|---|
y |
FORTRAN 77: REAL for vserfc, vmserfc DOUBLE PRECISION for vderfc, vmderfc Fortran 90: REAL, INTENT(OUT) for vserfc, vmserfc DOUBLE PRECISION, INTENT(OUT) for vderfc, vmderfc C: float* for vsErfc, vmsErfc double* for vdErfc, vmdErfc |
FORTRAN: Array that specifies the output vector y. C: Pointer to an array that contains the output vector y. |
Description
The Erfc function computes the complementary error function values for elements of the input vector a and writes them to the output vector y.
The complementary error function is defined as follows:
Useful relations:
where
is the cumulative normal distribution function.
where Φ-1(x) and erf-1(x) are the inverses to Φ(x) and erf(x) respectively.
See also Figure "Erf Family Functions Relationship" in Erf function description for Erfc function relationship with the other functions of Erf family.