v?Erf
v?Erf
Computes the error function value of vector elements.
Syntax
vsErf
(
n
,
a
,
y
)
;
vsErfI(n, a, inca, y, incy);
vmsErf
(
n
,
a
,
y
,
mode
)
;
vmsErfI(n, a, inca, y, incy, mode);
vdErf
(
n
,
a
,
y
)
;
vdErfI(n, a, inca, y, incy);
vmdErf
(
n
,
a
,
y
,
mode
)
;
vmdErfI(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 vsErf , vmsErf const double* for vdErf , vmdErf | 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 vsErf , vmsErf double* for vdErf , vmdErf | Pointer to an array that contains the output vector y . |
Description
The
Erf
function computes the error function values for elements of the input vector a
and writes them to the output vector y
.The error function is defined as given by:
Useful relations:
where
erfc
is the complementary error function.
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
)The following figure illustrates the relationships among
Erf
family functions (Erf
, Erfc
, CdfNorm
).Erf Family Functions Relationship
Useful relations for these functions:
Argument | Result | Exception |
|---|---|---|
+ ∞ | +1 | |
- ∞ | -1 | |
QNAN | QNAN | |
SNAN | QNAN | INVALID |