v?ErfcInv

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/31/2024

Version

Public

Visible to Intel only — GUID: GUID-896EBA1F-7FA5-4F4F-9497-07900BF5A452

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v?ErfcInv

Computes the inverse complementary error function value of vector elements.

Syntax

vhErfcInv( n, a, y );

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

vmhErfcInv( n, a, y, mode );

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

vsErfcInv( n, a, y );

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

vmsErfcInv( n, a, y, mode );

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

vdErfcInv( n, a, y );

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

vmdErfcInv( n, a, y, mode );

vmdErfcInvI(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 vhErfcInv, vmhErfcInv const float* for vsErfcInv, vmsErfcInv const double* for vdErfcInv, vmdErfcInv	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`	_Float16* for vhErfcInv, vmhErfcInv float* for vsErfcInv, vmsErfcInv double* for vdErfcInv, vmdErfcInv	Pointer to an array that contains the output vector y.

Name

Type

Description

y

_Float16* for vhErfcInv, vmhErfcInv

float* for vsErfcInv, vmsErfcInv

double* for vdErfcInv, vmdErfcInv

Pointer to an array that contains the output vector y.

Description

The ErfcInv function computes the inverse complimentary error function values for elements of the input vector a and writes them to the output vector y.

The inverse complementary error function is defined as given by:

where erf(x) denotes the error function and erfinv(x) denotes the inverse error function.

See also Figure "ErfInv Family Functions Relationship" in ErfInv function description for ErfcInv function relationship with the other functions of ErfInv family.

Special Values for Real Function v?ErfcInv(x)
Argument	Result	VM Error Status	Exception
+1	+0
+2	-∞	VML_STATUS_SING	ZERODIVIDE
-0	+∞	VML_STATUS_SING	ZERODIVIDE
+0	+∞	VML_STATUS_SING	ZERODIVIDE
X < -0	QNAN	VML_STATUS_ERRDOM	INVALID
X > +2	QNAN	VML_STATUS_ERRDOM	INVALID
+∞	QNAN	VML_STATUS_ERRDOM	INVALID
-∞	QNAN	VML_STATUS_ERRDOM	INVALID
QNAN	QNAN
SNAN	QNAN		INVALID

Parent topic: Special Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for C

v?ErfcInv

Syntax

Include Files

Input Parameters

Output Parameters

Description

See Also