v?Erfc
v?Erfc
Computes the complementary error function value of vector elements.
Syntax
vsErfc
(
n
,
a
,
y
)
;
vsErfcI(n, a, inca, y, incy);
vmsErfc
(
n
,
a
,
y
,
mode
)
;
vmsErfcI(n, a, inca, y, incy, mode);
vdErfc
(
n
,
a
,
y
)
;
vdErfcI(n, a, inca, y, incy);
vmdErfc
(
n
,
a
,
y
,
mode
)
;
vmdErfcI(n, a, inca, y, incy, mode);
Include Files
- mkl.h
Input Parameters
Name | Type | Description |
|---|---|---|
n | const MKL_INT | Specifies the number of elements to be calculated. |
a | const float* for vsErfc , vmsErfc const double* for vdErfc , vmdErfc | Pointer to an array that contains the input vector a . |
inca , incy | const MKL_INT | Specifies increments for the elements of a and y . |
mode | const MKL_INT64 | Overrides global VM mode setting for this function call. See vmlSetMode for possible values and their description. |
Output Parameters
Name | Type | Description |
|---|---|---|
y | float* for vsErfc , vmsErfc double* for vdErfc , vmdErfc | 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 and and
Φ
-1
(x
)erf
are the inverses to -1
(x
)Φ
(x
)erf(
respectively.x
) 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 |