Developer Reference for Intel® oneAPI Math Kernel Library for C
v?Erf
Computes the error function value of vector elements.
Syntax
vhErf ( n , a , y ) ;
vhErfI(n, a, inca, y, incy);
vmhErf ( n , a , y , mode ) ;
vmhErfI(n, a, inca, y, incy, mode);
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 _Float16* for vhErf , vmhErf 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 (Sets a new mode for VM functions according to the mode parameter and stores the previous VM mode to oldmode.) for possible values and their description. |
Output Parameters
Name |
Type |
Description |
|---|---|---|
y |
_Float16* for vhErf , vmhErf float* for vsErf , vmsErf double* for vdErf , vmdErf |
Pointer to an array that contains the output vector y . |
Description
vsErf vdErf vmsErf vmdErf
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 Φ^{-1}(x) and erf^{-1}(x) are the inverses to Φ(x) and erf(x) respectively.
The following figure illustrates the relationships among Erf family functions ( Erf , Erfc , CdfNorm ).