v?ErfcInv

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/22/2024

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v?ErfcInv

Computes the inverse complementary error function value of vector elements.

Syntax

call vserfcinv( n, a, y )

call vserfcinvi(n, a, inca, y, incy)

call vmserfcinv( n, a, y, mode )

call vmserfcinvi(n, a, inca, y, incy, mode)

call vderfcinv( n, a, y )

call vderfcinvi(n, a, inca, y, incy)

call vmderfcinv( n, a, y, mode )

call vmderfcinvi(n, a, inca, y, incy, mode)

Include Files

mkl_vml.f90

Input Parameters

Name	Type	Description
`n`	INTEGER, INTENT(IN)	Specifies the number of elements to be calculated.
`a`	DOUBLE PRECISION for vderfcinv, vmderfcinv REAL, INTENT(IN) for vserfcinv, vmserfcinv DOUBLE PRECISION, INTENT(IN) for vderfcinv, vmderfcinv	Array that specifies the input vector a.
inca, incy	INTEGER, INTENT(IN)	Specifies increments for the elements of `a` and `y`.
mode	INTEGER(KIND=8), INTENT(IN)	Overrides global VM mode setting for this function call. See vmlSetMode for possible values and their description.

Output Parameters

Name	Type	Description
`y`	DOUBLE PRECISION for vderfcinv, vmderfcinv REAL, INTENT(OUT) for vserfcinv, vmserfcinv DOUBLE PRECISION, INTENT(OUT) for vderfcinv, vmderfcinv	Array that specifies the output vector y.

Name

Type

Description

y

DOUBLE PRECISION for vderfcinv, vmderfcinv

REAL, INTENT(OUT) for vserfcinv, vmserfcinv

DOUBLE PRECISION, INTENT(OUT) for vderfcinv, vmderfcinv

Array that specifies 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 Fortran

v?ErfcInv

Syntax

Include Files

Input Parameters

Output Parameters

Description

See Also