Visible to Intel only — GUID: GUID-4304BDB8-921D-4144-9BA2-7A53538BD4C8
Visible to Intel only — GUID: GUID-4304BDB8-921D-4144-9BA2-7A53538BD4C8
v?Erfc
Computes the complementary error function value of vector elements.
Syntax
call vserfc( n, a, y )
call vserfci(n, a, inca, y, incy)
call vmserfc( n, a, y, mode )
call vmserfci(n, a, inca, y, incy, mode)
call vderfc( n, a, y )
call vderfci(n, a, inca, y, incy)
call vmderfc( n, a, y, mode )
call vmderfci(n, a, inca, y, incy, mode)
Include Files
- mkl_vml.f90
Input Parameters
Name |
Type |
Description |
---|---|---|
n |
INTEGER, INTENT(IN) |
Specifies the number of elements to be calculated. |
a |
DOUBLE PRECISION for vderfc, vmderfc REAL, INTENT(IN) for vserfc, vmserfc DOUBLE PRECISION, INTENT(IN) for vderfc, vmderfc |
Array that specifies the input vector a. |
inca, incy |
INTEGER, INTENT(IN) |
Specifies increments for the elements of a and y. |
mode |
INTEGER(KIND=8), INTENT(IN) |
Overrides global VM mode setting for this function call. See vmlSetMode for possible values and their description. |
Output Parameters
Name |
Type |
Description |
---|---|---|
y |
DOUBLE PRECISION for vderfc, vmderfc REAL, INTENT(OUT) for vserfc, vmserfc DOUBLE PRECISION, INTENT(OUT) for vderfc, vmderfc |
Array that specifies 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.
Argument | Result | VM Error Status | Exception |
---|---|---|---|
X > underflow | +0 | VML_STATUS_UNDERFLOW | UNDERFLOW |
+∞ | +0 | ||
-∞ | +2 | ||
QNAN | QNAN | ||
SNAN | QNAN | INVALID |