v?CdfNorm

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

v?CdfNorm

Computes the cumulative normal distribution function values of vector elements.

Syntax

vhCdfNorm ( n , a , y ) ;

vhCdfNormI(n, a, inca, y, incy);

vmhCdfNorm ( n , a , y , mode ) ;

vmhCdfNormI(n, a, inca, y, incy, mode);

vsCdfNorm ( n , a , y ) ;

vsCdfNormI(n, a, inca, y, incy);

vmsCdfNorm ( n , a , y , mode ) ;

vmsCdfNormI(n, a, inca, y, incy, mode);

vdCdfNorm ( n , a , y ) ;

vdCdfNormI(n, a, inca, y, incy);

vmdCdfNorm ( n , a , y , mode ) ;

vmdCdfNormI(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 `vhCdfNorm` , `vmhCdfNorm` const float* for `vsCdfNorm` , `vmsCdfNorm` const double* for `vdCdfNorm` , `vmdCdfNorm`	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 `vhCdfNorm` , `vmhCdfNorm` float* for `vsCdfNorm` , `vmsCdfNorm` double* for `vdCdfNorm` , `vmdCdfNorm`	Pointer to an array that contains the output vector `y` .

Description

vsCdfNorm vdCdfNorm vmsCdfNorm vmdCdfNorm

The CdfNorm function computes the cumulative normal distribution function values for elements of the input vector a and writes them to the output vector y .

The cumulative normal distribution function is defined as given by:

Useful relations:

Sparse Matrices That Can be Solved With PARDISO

where Erf and Erfc are the error and complementary error functions.

See also Figure “Erf Family Functions Relationship” in Erf function description for CdfNorm function relationship with the other functions of Erf family.

Special Values for Real Function v?CdfNorm(x)

Argument	Result	VM Error Status	Exception
X < underflow	+0	VML_STATUS_UNDERFLOW	UNDERFLOW
∞	+1
∞	+0
QNAN	QNAN
SNAN	QNAN		INVALID

NOTE:

Erf
Erfc

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Developer Reference for Intel® oneAPI Math Kernel Library for C

v?CdfNorm

Syntax

Include Files

Input Parameters

Output Parameters

Description